MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.

MATH 1910 Course Syllabus Calculus I

Course instructor: Leonard Ciletti

E-mail: cilettil@rcschools.net or lciletti@mscc.edu

Website:

http://ohs.rcschools.net/apps/pages/index.jsp?uREC_ID=691395&type=u&pREC_ID=1096094

Required Textbook: Calculus Ron Larson & Bruce Edwards 10th ed., Cengage

ISBN-13: 978-1285057095

You can rent or purchase on Amazon or Chegg

Description:

This course is a study of limits and continuity of functions; derivatives of algebraic and trigonometric

expressions and their application to graphing, maxima and minima, and related rates; integration of

algebraic and trigonometric expressions and area under curves.

Credit Hours: 4 Contact Hours: 4 Lab Hours: 0

Prerequisite(s):

Documented eligibility for collegiate mathematics; high school credits in college preparatory

mathematics to include Algebra I, Algebra II, geometry, and trigonometry or MATH 1710 and MATH

1720.

Required Supplies/Material(s):

TI-83, 84(recommended) or 89

Student solution manual

Students will:

1) Fulfill the mathematics requirement for those students required to take only MATH 1910 as

well as to prepare those students who are required to take MATH 1920;

2) Use technology in a manner that will promote better understanding of concepts introduced

throughout the course;

3) Demonstrate the concepts of continuity and limit of a function intuitively;

4) Learn methods of differentiation of algebraic and trigonometric functions;

5) Will use the derivative in sketching the graphs of algebraic and trigonometric functions and

relations;

6) Apply the derivative to specific modeling problems involving, for example, motion, maxima

and minima, and related rates;

7) Understand the concept of integration, show its application to area under curves, and practice

integration of algebraic and trigonometric expressions.

MATH 1910 Course Syllabus Calculus I

Course Objectives:

Through the study of Calculus, the student will:

1) understand basic ideas about what calculus is;

2) examine and determine by tables and graphs whether or not the limit of a function exists at a given

value of x and if so, find that limit;

3) discuss the formal ∈, δ definition of a limit;

4) discuss analytic properties of the limits of algebraic and trigonometric functions; examine techniques

and strategies such as substitution, cancellation, rationalizing, reduction of complex fractions, and trig

identities for evaluating limits;

5) indicate whether a given function is continuous or discontinuous at a given value of x or on an interval

containing x and examine removable and nonremovable discontinuities;

6) evaluate one-sided limits and discuss their relationship to the ideas of continuity;

7) graph and investigate the greatest integer function and piece-wise functions in relation to limits and

continuity; (greatest integer function is optional)

8) evaluate infinite limits by graphic and algebraic processes and discuss their relationship to vertical

asymptotes;

9) find the slope of a curve at point P by use of the slope of a secant line through P and another point on

the curve near P;

10) find the derivative of a function by use of the definition and discuss the relationship between

differentiability and continuity;

11) write the equation of the line tangent to a given curve at a given point;

12) differentiate functions using constant, power, constant multiple, sum, and trigonometric rules and

apply to simple motion problems;

13) differentiate algebraic and trigonometric functions using product, quotient, chain and general power

rules and evaluate at given values of x;

14) find the derivative of a function using implicit differentiation;

15) find the higher order derivatives of functions by both explicit and implicit differentiation and apply

to equations of motion;

16) apply differentiation processes to related rates problems;

17) find critical numbers and locate extrema of a function, including endpoints on an interval; (endpoints

optional)

18) state and verify Rolle's theorem and the mean value theorem for given functions; (optional)

19) determine intervals over which a curve is increasing or decreasing and determine relative maximum

and minimum values of given functions by use of the first derivative;

20) determine intervals of concavity, find points of inflection, and test for maxima and minima by use of

the second derivative; (maxima and minima test is optional)

21) evaluate limits at infinity graphically and algebraically and discuss their relationship to horizontal

asymptotes;

22) sketch the graphs of given functions by use of intercepts, asymptotes, and information obtained by

use of the first and second derivatives;

23) apply derivatives to solve optimization (maximum/minimum) problems;

24) use Newton's method to find zeros of functions; (optional)

25) understand and find differentials of functions and apply to determining error; (error is optional)

MATH 1910 Course Syllabus Calculus I

26) define anti-differentiation; find the anti-derivative of given polynomial, power, rational, and

trigonometric functions and apply to initial value problems;

27) use anti-derivatives to find the equation of motion when given acceleration or velocity of a particle

at a given time; (optional)

28) perform operations with sigma notation and use it to find the area under the graphs of certain

polynomial functions by using the definition of definite integral and rectangular subdivisions;

29) study geometric and analytic properties of the definite and indefinite integral;

30) study the Fundamental Theorem of Calculus and use it to evaluate definite integrals of polynomial

and other algebraic relations and trigonometric functions, and apply to finding the area under curves;

31) evaluate indefinite and definite integrals of algebraic and trigonometric expressions by the general

power rule for integration and by u-substitution procedures;

32) derive and apply the Trapezoid Rule and Simpson's Rule to the approximation of definite integrals

and analyze error of results. (optional)

Grading Policy:

Quizzes/Homework: 20% (closed book and closed notes)

Tests: 60% (closed book and closed notes)

Final Exam: 20% (closed book and closed notes)

Letter Grade Distribution:

90-100: A 80-89: B 70-79: C 60-69: D Less than 60: F

Tests

Topics covered

Test 1 Objectives 1-8 Chapter 1

Test 2 Objectives 9-16

Test 3 Objectives 17-22

Test 4 Objectives 23-29

Final Exam Comprehensive 1-32

Course Material and Schedule

Week Topic/Chapter

1 Chapter 1 Sections 1.1 – 1.3 Objectives 1 -4

2 Chapter 1 Sections 1.3-1.4 Objectives 4 - 8

3 Test 1 on Chapter 1 Chapter 1 Section 1.5, Chapter 2 Section 2.1 Objectives 9-11

4 Chapter 2 Sections 2.1 – 2.2 Objectives 9 – 12

5 Chapter 2 Sections 2.2 – 2.4 Objectives 12, 13, 15

6 Chapter 2 Sections 2.4 – 2.6 Objectives 13 - 16

7 Test 2 on Chapter 2 Chapter 2 Section 2.6, Chapter 3 Section 3.1 Objectives 16-17

8 Chapter 3 Sections 3.2 – 3.4 Objectives 18-20

9 Chapter 3 Sections 3.4 – 3.6 Objectives 20 - 22

10 Test 3 on Chapters 3 thru 3.6, Chapter 3 Sections 3.6 – 3.7 Objectives 22 - 23

11 Chapter 3 Sections 3.7 – 3.9 and Chapter 4 Section 4.1 Objectives 23 - 27

12 Chapter 4 Sections 4.1 – 4.2 Objectives 26 - 28

13 Test 4 on Chapter 4 thru 4.3, Chapter 4 Sections 4.2 – 4.4 Objectives 28 - 30

14 Chapter 4 Sections 4.4 – 4.6 Objectives 30 - 32

15 Comprehensive Final Chapters 1 – 4, Objectives 1 - 32

MATH 1910 Course Syllabus Calculus I

Note: This schedule may change. If changes are made, announcements will be made in advance

regarding those changes. It is your responsibility to conform to all announcements, changes, and

additions made during the classes.

Class and Lab Policies:

• Please conform to all regulations and safety rules.

• Do not touch other lab equipment in the classroom that does not pertain to what you are

working on.

• No make-up sessions will be given for absence without a documented reasonable excuse.

• Attendance is very important. Five absences results in a failing grade.

• It is your responsibility to regularly check with me or the website to be aware of any

important/emergency notice about the course or class schedule.

• Neatness counts. Please submit neat homework and class work. (All assignments will be

typed!) Points may be taken off if your exam or work paper is unreadable or not neat and

organized.

• The computer lab is for classwork only, surfing the web, listening to music or playing games

is prohibited.

• Cell phones may be used for research only (when permission is given). Do not use your cell

phone during a lecture.