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Corning Community College Ace Calculus Calculus 1 Math 1610 Instructor: Shannon Collins Pan e-mail: [email protected] Text: Calculus of a Single Variable, 9 th Ed., Larson/Edwards Calculator: A TI graphing calculator without a Computer Algebra System is required. The allowable models are any version if either the TI-83’s or TI-84’s and the new TI-Inspire A USB Flash drive is recommended. Course Description: Differential and integral calculus, including elements of analytic geometry. Basic theory and physical applications. Derivatives, considered both algebraically and graphically and as applied to velocity and acceleration, differentials and their use of approximations, the indefinite and definite integrals with applications to areas, volumes. Prerequisite: PreCalc. Course Outline: Below is a listing of the chapters we will cover and the order we will cover them. Refer to your course outline for a complete listing of the sections to be covered and your corresponding textbook homework assignments. Chapter P Preparation for Calculus Chapter 1 Limits and Their Properties Chapter 2 Differentiation Chapter 3 Applications of Differentiation Chapter 4 Integration Chapter 7 Applications of Integration

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Corning Community College Ace Calculus

Corning Community College Ace CalculusCalculus 1Math 1610

Instructor:       Shannon Collins Pan                          

e-mail:             [email protected]

Text:Calculus of a Single Variable, 9th Ed., Larson/Edwards

Calculator: A TI graphing calculator without a Computer Algebra System is required. The allowable models are any version if either the TI-83’s or TI-84’s and the new TI-Inspire

A USB Flash drive is recommended.

Course Description:

Differential and integral calculus, including elements of analytic geometry. Basic theory and physical applications. Derivatives, considered both algebraically and graphically and as applied to velocity and acceleration, differentials and their use of approximations, the indefinite and definite integrals with applications to areas, volumes. Prerequisite: PreCalc.

Course Outline:

Below is a listing of the chapters we will cover and the order we will cover them. Refer to your course outline for a complete listing of the sections to be covered and your corresponding textbook homework assignments.

Chapter PPreparation for Calculus

Chapter 1Limits and Their Properties

Chapter 2Differentiation

Chapter 3Applications of Differentiation

Chapter 4Integration

Chapter 7Applications of Integration

Course Goals:

Below is a listing of the Global Learning Objectives for this course.

The student will be able to

1. Demonstrate understanding of the definitions of limit, continuity, derivative and the definite integral.

2. Determine limits of functions algebraically, numerically and graphically

3. Determine the derivatives of algebraic and trigonometric functions involving sums, differences, products, quotients, and compositions

4. Solve application problems involving the derivative.

5. Determine indefinite and definite integrals of basic algebraic and trigonometric functions

6. Solve application problems involving the definite integral.

7. Use a Computer Algebra System (CAS) to solve application problems involving limits, derivatives, and integrals

Grading Policies

The breakdown is as follows:

Quizzes/Exams/50%

WolframAlpha Labs and Journals15%

Homework 25%

Chapter Readings10% (these percentages may vary)

Letter grades will be assigned as follows

A93%-100% B83%-86%C70%-76%

A-90%-92%B-80%-82%D60%-69%

B+87%-89% C+77%-79%F 0%-59%

The Exams will be one class period, short-answer exams. Partial credit will be given. If you have an extreme circumstance and cannot make it to an exam, you must contact me before the next class to obtain permission to reschedule. Otherwise your grade will be recorded as a zero. Extra time will not be provided on exams unless you have accommodations through Student Disability Services. All exams and quizzes needed to be taken PRIOR to your band lesson or other school function held on campus. At the end of the semester your lowest exam scores will be dropped.

Embedded within the exams will be course competencies for the three major symbol manipulation areas of the course; limits, derivatives, and integrals. You must score 90% or higher on this portion of the exam in order to pass the course. If you do not score 90% or higher, you will be required to retake this portion of the test until you do. However, these retakes will not affect your original exam score.

WolframAlpha Labs and Journals will be handed out in class which will require the use of the computer and a word process with an equation editor. WolframAlpha is a free website at www.wolframalpha.com. Also, every computer at WHS, has Microsoft Office installed on it. There will be approximately seven labs and 8 journals handed out. Unless otherwise stated, these labs are due two weeks after they are handed out and journals are due one week after being handed out.

No late labs or journals will be accepted. They will receive a zero. However, ALL labs or journals must be completed in order to receive credit for this class. Lab and journal grades will not be dropped.

Homework: Please refer to the attached course outline for your assignments. You should plan to possibly spend at least 2+ hours on math outside of class time each night; that is at least two hours for every one hour in class. Daily homework exercises will be collected at random during the week or on Fridays. Please hand in assignments on time – Late assignments are zeros. Homework must be done in order, stapled, written neatly in pencil and complete. Work must be shown. Problems will be considered not attempted by just giving the answer with no work shown. Absence is not an excuse for late homework. It is critically important that you do the homework as that is how you will learn the material. (Please see Homework guidelines)

Notebook: A three-ring binder dedicated solely to calculus must be kept. In this binder, you will keep notes, handouts, reading assignments, and all returned work. It is your job to keep the binder organized. This will be collected once each marking period and counted as a test grade. Remember grading is subjective so keep it NEAT!!!!! Disorganization will result in a failing grade or even a zero.

Quizzes: A short quiz will be given almost daily throughout the semester during class. Make-up quizzes given must be made up with in two days of the date administered. At the end of the semester your lowest quiz score will be dropped.

Final: The Final will be a comprehensive exam. Date and time to be announced.

Rule and Policies

1. All work will be done using pencil or typed. Any item turned in using pen will receive a zero on it.

2. There will be no make-ups for missed exams, nor re-tests for poor exams.

3. Late Labs will not be accepted for any reason.

4. Anyone missing the final exam must notify me prior to the exam and obtain my permission to take it at another time.

5. It is your responsibility to bring a calculator with you to each exam. I will not provide you with one, nor will you borrow one from a classmate if you do not bring it.

6. You may use any calculator as long as it does not have an algebra manipulator.

7. You will show all of your work algebraically on your homework.

8. Attendance Policy: It is a proven fact that class attendance is directly related to success in the class. In other words, attendance is very important. According to CCC, there are no “legal” absences. For that reason, in rare cases, if you miss more than TEN classes, I reserve the right to drop you from the CCC class as credit bearing. You will still be able to get high school credit. This will be determined on a case by case basis. If you miss a class for any reason, you must hand in all work in advance unless you have obtained prior approval from me. Late homework will not be accepted

9. Behavioral Policy: Coming late to class, chatting during class, sleeping during class, or any other disruptive behavior will not be tolerated. Continued offences will lead to the door being locked at the start of class, being asked to leave the class, or the instructor withdrawing you from the class.

10. Academic Dishonesty: Cheating in any form will not be tolerated. A student caught cheating will receive zero on that work. The instructor reserves the right to assign an F for the entire course, and notify the Academic Dean’s Office of the offence.

11. Student Disability Services: Reasonable accommodations will be provided for students with documented physical, sensory, systemic, cognitive, learning and psychiatric disabilities. If you believe you have a disability requiring accommodation in the class, please contact the Coordinator of Student Disability Services. That office will provide the course instructor with verification of your disability and will recommend appropriate accommodations.

12. Remediation: Students are able to make up work during their study halls. I will make arrangements personally for those students who do not have a study hall. Additionally, I will post answers to odd homework problems online. These solutions mirror the even problems which are used for the homework problem sets. I also have one set of DVD lecture series based on our textbook. These DVD’s are available for students to “check out” overnight for supplemental instruction.

13. Final: In order to sit for the final, all assigned labs and journals must be completed. Additionally, all competencies must be successfully completed.

Homework: Please refer to the attached course outline for your assignments.

You should plan to possibly spend at least 1 hour+ on math outside of class time each night; that is approximately one-two hours for every class period. Please refer to the Student Solution Manual for worked out solutions to the odds from each chapter.

· Daily homework exercises will be collected at the beginning of each class unless specified

· Rewrite the original problem

· State any formulas necessary. Identify parts of the formula such as u = v =

· Include any tables or figures necessary to solve the problem

· Most graphs can be done on the homework paper, but you need to make a scale and be ACCURATE.

· Matching or fill in the blank questions must be fully written out in sentence form

· Solve problems vertically

· Skip lines between problems

· All “fringes” must be cut off from the edge of the paper

· Use pencil on all homework problems

· Home work is due at the beginning of class. Please hand in assignments on time – Late assignments are zeros, however ½ credit may be given at the instructor’s discretion. Additionally, HW may be taken later at the instructor’s discretion.

· Homework must be done in order, stapled, written neatly in pencil and complete. All “fringes” must be cut off.

· Do not staple multiple assignments together.

· All work needs to be done algebraically unless specified. Answers obtained from a calculator without justification will not be accepted.

· Work must be shown using the techniques demonstrated by the instructor. Problems will be considered not attempted by just giving the answer with no work shown.

· All homework needs to be handed in PRIOR to your band lesson or other school function held on campus. If you are at a school function off campus, you must hand in the HW to the instructor if you return by the end of the day. Additionally, if you leave for a school function prior to class, you must turn in your homework before the bus leaves. If you come to school late, after the class period is over, you must still hand in the HW period by the end of the day.

· Practice quizzes must be complete PRIOR to taking the quiz. Blank practice quizzes MAY result in a Zero HW grade.

· BE NEAT. MESSY PAPERS WILL NOT BE ACCEPTED!

Sample Homework Problems

Student Code of Conduct:

The principles of integrity, respect and ethical behavior are long standing traditions at CCC. It is expected that all students will recognize these values and adhere to all aspects of student conduct and academic honesty inside and outside of the classroom. The act of academic dishonesty is one in which a student is trying to gain an unfair academic advantage or is avoiding actions required by a course, which have been designed to improve some aspect of the student’s education. Knowingly and willfully aiding or collaborating with a student in the violation of an Academic Honesty policy, even if not personally committing any violation, is considered academic dishonesty.

The following list describes various instances or actions that the College considers to be acts of academic dishonesty. While trying to be thorough, this list is not absolute. It is up to the practical judgment of faculty and students to consider cases that are not included here.

Examples of Violations of Academic Honesty include, but are not limited to the following:

• Plagiarism occurs when a person presents another’s ideas, information, words, artwork, films, music, graphs, images, data or statistics as if they were his or her own creation. Plagiarism is a form of theft and is cheating.

• When a person copies material from a published source, such as a periodical, encyclopedia, book or downloads a passage from an Internet source and presents that information without proper documentation (reference or quotation) in a paper or project, then that person has committed plagiarism. Even if the content or wording has been slightly changed, a little plagiarism is still plagiarism. If a person submits a paper or project in satisfaction of a course assignment that was authored or researched in part or in whole by someone else, then that person is guilty of plagiarism.

• Using prohibited materials such as the use of other students’ work, past papers, reports or lab documents without the specific permission of the instructor.

• Using notes or information in any form when not specifically permitted. Using programming functions of calculators,

memory in PDA’s, cell phones, laptops or any other handheld computing device without authorization from the instructor.

• Gaining or providing unauthorized assistance on term papers, reports, projects, research data, take-home tests, quizzes or homework turned in for grading.

• Having another person represent himself or herself as you during a course, examination or activity.

• Receiving information from another student or communicating in any way during an examination, quiz or other course activity when not authorized by the instructor.

• Stealing or otherwise receiving information, questions or answers for an examination, quiz or other course activity when not authorized by the instructor.

• Intentionally impairing the work of another student or instructor.

• Forging or altering college records or documents.

When a violation of the Academic Honesty policy is suspected, it is the instructor’s responsibility to investigate the incident and determine the severity and intent of the violation. The actions an instructor may take include, but are not limited to: discussing the incident with the student in question, discussing the incident with other students, literary or document research, requesting additional information or supporting documents. This investigation must be done in a timely fashion but has no limits based on the nature of the investigation. If the instructor concludes that an offense has occurred, the instructor will determine an appropriate penalty using his or her judgment as to the severity and intention of the infraction. Because the instructor will typically not be aware of a student’s behavior or violations to CCC policy in previous or concurrent courses, the penalty will be assessed by the instructor based on the student’s activity and conduct in this

course alone.

Examples of penalties include, but are not limited to the following:

• Receiving a verbal warning

• Receiving a written warning

• Partial grade out of the total possible for the assignment

• Recreate or retake an assignment or assessment activity

• Receiving a zero or F on an assignment or assessment activity

• Expulsion from and receiving an F grade for the course

Documentation of the academic dishonesty violation should be forwarded to the Office of the Vice President and Dean of Academic Affairs. If a student disagrees with an instructor’s findings regarding a violation to the Academic Honesty policy, he or she may follow the steps outlined for disputing a grade under Grading Practices. This process is intended to allow the student to address the dispute in an organized manner and through several levels of CCC’s organization. If, after proceeding through this process, the matter has not been resolved to the satisfaction of the student, he or she may request a hearing before the Student Judiciary Board through the Vice President and Dean of Student Development. The process is detailed under the Student Judiciary Process.

Tentative Test/Quiz List: This is subject to change

Pre Test

PreCalc Review

Precalculus Test Review

Chapter P Take home

Chapter 1

1.2 dhq delta epsilon Proof

1.3 dhq Evaluating Limits Analytically

1.4 dhq Continuity and 1-Sided Limits

1.5 dhq Infinite Limits

1.4 dhq Continuity and 1-Sided Limits

Chapter 1 Test

Chapter 1 Test –Take home

Competency 1

Chapter 2

2.1 dhq The Derivative and the Tangent Line Problem

2.2 dhq Basic Differentiation Rules and Rates of Change

2.3 dhq 1Product and Quotient Rules and Higher Order

2.3 dhq 2 Product and Quotient Rules and Higher Order

2.4 The Chain Rule

2.1-2.4 Test

2.5 dhq Implicit Differentiation

Chapter 2 Test

Chapter 2 Test –Take home

Competency 2

Chapter 3

3.1 dhq Extrema on an Interval

3.2 dhq Rolle’s Theorem and Mean Value Theorem

3.3 dhq Increasing & Decreasing Functions, 1st Derivative Test

3.4 dhq Concavity and 2nd Derivative Test

Test 3.1-3.5

3.6 dhq 1 A Summary of Curve Sketching

3.6 dhq 2 A Summary of Curve Sketching

3.6-3.9 Test

Chapter 3 Test

3.7 Optimization problems

3.8 dhq Newton’s Method

3.9 dhq Differentials

Chapter 4

4.1 dhq 1 Antiderivatives and Indefinite Integration

4. 1 dhq 2 Antiderivatives and Indefinite Integration

4.2 dhq 1 Area Under the Curve

4.2 dhq 2 Area Under the Curve

4.2 dhq 3 Area Under the Curve

4.3 dhq The Definite Integral

4.4 dhq 1 The Fundamental Theorem

4.4 dhq 2 The Fundamental Theorem

4.5 dhq 1 Change of Variables

4.5 dhq 2 Change of Variables

4.5 dhq 3 Change of Variables

4.6 dhq Trapezoid and Simpson Rule

Competency 3

Chapter 7

7.1 dhq 1 Area Between Curves

7.1 dhq 2 Area Between Curves

7.2 dhq 1 Volumes– Disks

7.2 dhq 2 Volumes– Disks

7.2 dhq 3 Volumes– Disks

7.3 dhq 1 Volumes – Shells

7.3 dhq 2 Volumes – Shells

Test 7.1-7.4

WolframAlpha: At least 7 labs will be assigned

Grade Sample lab with rubric – Required prior to stating the first writing exercise

1610 Lab 1: Introduction to WolframAlpha (1.1)

1610 Lab 2: Evaluating Limits Graphically and Numerically (1.2)

1610 Lab 3: Falling Parachute (2.2 &2.3)

1610 Lab 9: Related Rates OR Related Rates Shadow Box (2.6)

1610 Lab 6: Roots and Tangent Lines to Cubic Polynomials (2.1)

1610 Lab 7: The Tour de France

1610 Lab 11: Applied Optimization (3.7)

1610 Lab 12: Newton’s Method (3.8)

1610 Lab 14: Integration and Area (4.4-4.5)

1610 Lab 15: The Trapezoidal and Simpson’s Rules (4.6)

1610 Lab 18: Volume of a Decoration (7.1-7.3)

Journals: All Journals are required

Journal 1: How to be Successful in College (1.1)

Journal 2: Explain the Chain Rule (2.4)

Journal 3: Applied Related Rates Twice (2.6)

Journal 4: Related Rates Shadow Box and Story (2.6) – 1610 Lab 9 is the other option

Journal 5: Analyze Graphically First and Second Derivative Tests (3.3-3.4)

Journal 6: Explain Integrating Absolute Value (4.4)

Practice Finals:

Practice Final A

Practice Final B

Practice Final C

Practice Final D

It is expected that you read each section covered, preferably before it is covered in class.

1. This is a tentative list of homework exercises for each section in the course.

1. Different homework sections should be done on separate paper.

1. Homework must be done in order, stapled, written neatly in pencil and complete.

1. All work needs to be done algebraically unless specified. Answers obtained from a calculator without justification will not be accepted.

Text: Calculus of a Single Variable, 9th edition, Larson, Edwards

Topic

Page

Assignment

Writing about Concept

P.1 Graphs and Models

Take-Home Test

P.2 Linear Models

Take-Home Test

P.3 Functions and Their Graphs

Take-Home Test

P.4 Fitting Models to Data

Take-Home Test

Topic

Page

Assignment

Writing about Concept

1.1 A Preview of Calculus

47

2-10E

11

1.2 Graphic and Numeric limits

54

2-20E, 26-34E,

1.2 Day 2

40-54E

61-63

1.3 Evaluating Limits Analytically

67

2-44E, 46-80E

1.3 Day 2

97-100

1.4 Continuity and 1-Sided Limits

78

2, 6, 10, 14, 18, 22, 26-38E, 46-54E

1.4 Day 2

70-94E

95-97

1.5 Infinite Limits

88

2-50E, 56

Day 2

69

59-63

Review

Test

Topic

Page

Assignment

Writing about Concept

2.1 The Derivative and the Tangent Line Problem

103

2-36E, 39-42

45-48

2.1 Day 2

54, 62, 74, 80, 84, 86, 88

49-52

2.2 Basic Differentiation Rules and Rates of Change

115

2, 6-38E

2.2 Day 2

40-66E, 70, 94, 98

73-76

Extra Day for 2.2 and 2.3

2.3 Product and Quotient Rules and Higher Order

126

2-38E

2.3 Day 2

40, 42, 48, 60 ,64, 66, 70, 76, 82,

94-102E, 130

109-112

2.4 The Chain Rule

137

2, 6, 10, 14, 18, 22, 26, 30, 34, 44, 46, 50, 54, 58, 62, 66

2.4 Day 2

70, 74 , 92, 98, 100

101-106

2.4 Day 3

Review (Extra)

Test 2.1-2.4

2.5 Implicit Differentiation

146

2-38E

2.5 Day 2

48, 50, 54, 66

69, 70

2.6 Related Rates

2.6 Day 2

Topic

2.6 Day 3

Test

Topic

Page

Assignment

Writing about Concept

3.1 Extrema on an Interval

169

2-40E

3.1 Day 2

55-60

3.2 Rolle’s Theorem and Mean Value Theorem

176

2-24E, 32, 34

3.2 Day 2

40-46E, 68, 70

55-58

3.3 Increasing & Decreasing Functions, 1st Derivative Test

186

2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50

3.3 Day 2

59-64, 66, 68, 70, 80, 94

71-77

3.4 Concavity and 2nd Derivative Test

195

2-18E, 20, 24, 28, 32, 36

3.4 Day 2

40, 44, 48, 52, 62, 63, 66, 68

57-60

Test 3.1-3.4

3.5 Limits at Infinity

205

1-6, 14, 16, 18, 20-38E, 44, 46, 60, 64, 68, 72, 76, 90, 94

53-57

3.6 A Summary of Curve Sketching

215

1-4, 6, 10, 14, 18, 22, 26, 30, 38, 42, 46

3.6 Day 2

68, 70

47-50, 52-60E

3.7 Optimization problems

223

2, 4, 6, 8, 9, 11, 14, 16, 18

3.7 Day 2

22, 24, 40

37

3.7 Day 3

3.8 Newton’s Method

233

2-14E, 22, 24, 34

29-31

3.9 Differentials

240

2, 4, 8, 10, 12, 18, 22-30E

3.9 Day 2

49-51

Review

Test 3.6-3.9

Topic

Page

Assignment

Writing about Concept

4.1 Antiderivatives and Indefinite Integration

255

2-10E, 14, 18, 22, 26, 30, 34, 38, 42, 46

4.1 Day 2

50, 52, 56-64E,

67-69

4.2 Area Under the Curve

267

2, 6, 10, 14, 16-22E, 28-40E

4.2 Day 2

42-54E 58, 62, 66, 70

81-84

4.3 The Definite Integral

278

6, 10, 14, 18, 22, 26, 28, 34, 38, 42, 44

4.3 Day 2

48, 60

53-56

4.4 The Fundamental Theorem

293

6, 10, 14, 18, 22, 26, 28, 30, 36-54E

4.4 Day 2

74-88E, 98

59-60

4.5 Change of Variables

306

1-6, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 58, 64, 66

4.5 Day 2

68, 72, 76-84E, 88, 92, 104, 106

111-113

Extra for 4.4 or 4.5

4.6 The Trapezoid Rule

316

2, 6, 10, 12, 16, 24, 26, 28, 30, 34, 52

4.7 Simpson’s Rule

316

2, 6, 10, 12, 16, 24, 26, 28, 30, 34, 52

21, 22

Review

Test Chapter 4

Topic

Page

Assignment

Writing about Concept

7.1 Area Between Curves

454

1-6, 8, 10, 16, 17, 18, 20, 22, 24, 48, 68

7.1 Day 2

70, 74,

77-81

7.2 Volumes – Disks

465

2-16E, 20, 21, 23, 24, 32

7.2 Day 2

51-54

7.3 Volumes – Shells

474

2-12E, 16, 20, 22, 24, 27-30

7.3 Day 2

39-43

7.4 Arc Length

7.4 Surface Area

7.4 Day 3

Review

Test 7.1-7.4

7.6 Moments and Center of Mass

TBA

7.5 Work

TBA

7.7 Fluid Pressure

TBA

Chapter 1 Practice Quizzes

1.2 dhq practice delta epsilon Proof

1.3 dhq practice Evaluating Limits Analytically

1.4 dhq practice Continuity and 1-Sided Limits

1.5 dhq practice Infinite Limits

1.4 dhq practice Continuity and 1-Sided Limits

Chapter 1 Practice test

Practice Competency 1

HW:

1.1 A Preview of Calculus

1.2 Graphic and Numeric limits

1.2 Day 2

1.3 Day 1 Evaluating Limits Analytically

1.3 Day 2

1.4 Continuity and 1-Sided Limits

1.4 Day 2

1.5 Day 1 Infinite Limits

1.5 Day 2

Chapter 2 Practice Quizzes

2.1 dhq practice The Derivative and the Tangent Line Problem

2.2 dhq practice Basic Differentiation Rules and Rates of Change

2.3 dhq practice 1 Product and Quotient Rules and Higher Order

2.3 dhq practice 2 Product and Quotient Rules and Higher Order

2.4 dhq practice The Chain Rule

2.1-2.4 Practice test

2.5 dhq practice Implicit Differentiation

Chapter 2 Practice test

Practice Competency 2

HW:

2.1 Day 1 The Derivative and the Tangent Line Problem

2.1 Day 2

2.2 Day 1 Basic Differentiation Rules and Rates of Change

2.2 Day 2

2.3 Day 1 Product and Quotient Rules and Higher Order

2.3 Day 2

2.4 Day 1 The Chain Rule

2.4 Day 2

2.4 Day 3

2.5 Day 1 Implicit Differentiation

2.5 Day 2

Chapter 3 Practice Quizzes

3.1 dhq practice Extrema on an Interval

3.2 dhq practice Rolle’s Theorem and Mean Value Theorem

3.3 dhq practice Increasing & Decreasing Functions, 1st Derivative Practice test

3.4 dhq practice Concavity and 2nd Derivative Practice test

3.1-3.5 Practice test

3.6 dhq practice 1 A Summary of Curve Sketching

3.6 dhq practice 2 A Summary of Curve Sketching

3.6-3.9 Practice test

Chapter 3 Practice test

3.7 Optimization problems

3.8 dhq practice Newton’s Method

3.9 dhq practice Differentials

HW:

3.1 Day 1 Extrema on an Interval

3.1 Day 2

3.2 Day 1 Rolle’s Theorem and Mean Value Theorem

3.2 Day 2

3.3 Day 1 Increasing & Decreasing Functions, 1st Derivative Test

3.3 Day 2

3.4 Day 1 Concavity and 2nd Derivative Test

3.4 Day 2

3.5 Day 1 Limits at Infinity

3.6 Day 1 A Summary of Curve Sketching

3.6 Day 2

3.7 Day 1 Optimization problems

3.7 Day 2

3.7 Day 3

3.8 Day 1 Newton’s Method

3.9 Day 1 Differentials

3.9 Day 1 Day 2

Chapter 4 Practice Quizzes

4.1 dhq practice 1 Antiderivatives and Indefinite Integration

4. 1 dhq practice 2 Antiderivatives and Indefinite Integration

4.2 dhq practice 1 Area Under the Curve

4.2 dhq practice 2 Area Under the Curve

4.2 dhq practice 3 Area Under the Curve

4.3 dhq practice The Definite Integral

4.4 dhq practice 1 The Fundamental Theorem

4.4 dhq practice 2 The Fundamental Theorem

4.5 dhq practice 1 Change of Variables

4.5 dhq practice 2 Change of Variables

4.5 dhq practice 3 Change of Variables

4.6 dhq practice

Practice Competency 3

HW:

4.1 Day 1 Antiderivatives and Indefinite Integration

4.1 Day 2

4.2 Day 1 Area Under the Curve

4.2 Day 2

4.3 Day 1 The Definite Integral

4.3 Day 2

4.4 Day 1 The Fundamental Theorem

4.4 Day 2

4.5 Day 1 Change of Variables

4.5 Day 2

4.6 Day 1 The Trapezoid Rule

4.7 Day 1 Simpson’s Rule

Chapter 7 Practice Quizzes

7.1 dhq practice 1 Area Between Curves

7.1 dhq practice 2 Area Between Curves

7.2 dhq practice 1 Volumes– Disks

7.2 dhq practice 2 Volumes– Disks

7.2 dhq practice 3 Volumes– Disks

7.3 dhq practice 1 Volumes – Shells

7.3 dhq practice 2 Volumes – Shells

Practice test 7.1-7.4

HW:

7.1 Day 1 Area Between Curves

7.1 Day 2

7.2 Day 1 Volumes – Disks

7.2 Day 1 Day 2

7.3 Day 1 Volumes – Shells

7.3 Day 2