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MAT 200 Sections 101 & 102 Fall 2012 1 Syllabus Chesapeake College MAT 200 – Fundamentals of Mathematics Sections 101 & 102 Syllabus INTRODUCTION: This course is a survey course in mathematics. A variety of interesting and timely topics have been selected as a course designed for a student who is not a mathematics or science major. The purpose of such a course is to present students with an overview and very basic understanding of various mathematical topics. Chapters do not necessarily “build” upon one another, but present students with an exposure to several different areas of mathematics. COURSE DESCRIPTION: A survey course in mathematics for non-mathematics majors. Course covers an introduction to many topics including problem-solving, calculators and computes, consumer mathematics, sets and logic, number theory, algebra, geometry, probability, and statistics. COURSE PREREQUISITE: Appropriate score on placement test or MAT 031 (alternative pathway). Students who have not successfully completed or placed out of MAT 032 have met the prerequisite for this class via the alternative pathway to credit level math courses (MAT 200 or MAT 204). As such, they are required to supplement their learning through the tutoring resources available through either the Academic Support Center or Student Support Services. MAT 200 will be taught at the level of a typical student who has successfully completed the developmental math sequence through Intermediate Algebra (MAT 032). If you have only taken MAT 031 and are having problems keeping up with the course, it is your responsibility to supplement your classroom learning. INSTRUCTOR: Sarah Sewell e-mail: [email protected] 122 Kent Humanities Building phone: 410-822-5400 ext. 2296 Chesapeake College fax: 410-827-5814 Attn: Sarah Sewell 1000 College Circle P.O. Box 8 Wye Mills, MD 21679 OFFICE HOURS: 1:00 – 2:15 pm on Mondays & Wednesdays (HUM 122), 5:30 – 6:30pm on Mondays (CAMB 202), and Tuesdays & Thursdays from 3:00 – 4:00 pm (HUM 112), Also by appointment. TEXT/SUPPLIES: 1. Thinking Mathematically by Robert Blitzer. 5 th ed. Prentice Hall. 2011 ISBN # 0-321-64585-5 2. MyMathLab (MML) is an on-line homework program and is a REQUIRED purchase. An access code for this online program can be purchased either separately or packaged with the textbook at the bookstore. Use the Course ID found on Angel and the college’s zip code 21679 when registering. The MML Registration Tutorial can be found at: http://pearsonmylabandmastering.com/students/tours/ 3. A scientific calculator will be necessary for this course, such as a TI-30 or TI-30X. A graphing calculator (TI-83 or TI-84) is recommended, but not required. You are responsible for understanding how to use your calculator and for making sure that it works on test days. COURSE STRUCTURE: 1. Lectures: The class will meet two times per week for lectures on: Section 101: Mondays & Wednesdays from 11:30am – 12:45pm in HUM-114 Section 102: Tuesdays & Thursdays from 10:00am – 11:15am in HUM-114 New topics will be discussed in lecture. Reading assignments are to be completed BEFORE the lecture for which they are given allowing us to move quickly from topic to topic. Students, who regularly fall behind in the reading assignments, will find it hard to keep up with the pace of the class. In completing a reading assignment, students are simply expected to have been exposed to the material – not gain a complete understanding of the material.

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Page 1: Chesapeake College MAT 200 Fundamentals of Mathematics ...info.chesapeake.edu/faculty/syllabi/MAT-200-101-12Fa.pdf · many topics including problem-solving, calculators and computes,

MAT 200 Sections 101 & 102

Fall 2012 1 Syllabus

Chesapeake College

MAT 200 – Fundamentals of Mathematics Sections 101 & 102

Syllabus

INTRODUCTION: This course is a survey course in mathematics. A variety of interesting and timely topics have been selected as a course designed for a student who is not a mathematics or science major. The purpose of such a course is to present students with an overview and very basic understanding of various mathematical topics. Chapters do not necessarily “build” upon one another, but present students with an exposure to several different areas of mathematics.

COURSE DESCRIPTION: A survey course in mathematics for non-mathematics majors. Course covers an introduction to many topics including problem-solving, calculators and computes, consumer mathematics, sets and logic, number theory, algebra, geometry, probability, and statistics.

COURSE PREREQUISITE: Appropriate score on placement test or MAT 031 (alternative pathway).

Students who have not successfully completed or placed out of MAT 032 have met the prerequisite for this class via the alternative pathway to credit level math courses (MAT 200 or MAT 204). As such, they are required to supplement their learning through the tutoring resources available through either the Academic Support Center or Student Support Services. MAT 200 will be taught at the level of a typical student who has successfully completed the developmental math sequence through Intermediate Algebra (MAT 032). If you have only taken MAT 031 and are having problems keeping up with the course, it is your responsibility to supplement your classroom learning.

INSTRUCTOR: Sarah Sewell e-mail: [email protected] 122 Kent Humanities Building phone: 410-822-5400 ext. 2296 Chesapeake College fax: 410-827-5814 Attn: Sarah Sewell 1000 College Circle P.O. Box 8 Wye Mills, MD 21679

OFFICE HOURS: 1:00 – 2:15 pm on Mondays & Wednesdays (HUM 122), 5:30 – 6:30pm on Mondays (CAMB 202), and Tuesdays & Thursdays from 3:00 – 4:00 pm (HUM 112), Also by appointment.

TEXT/SUPPLIES:

1. Thinking Mathematically by Robert Blitzer. 5th

ed. Prentice Hall. 2011 ISBN # 0-321-64585-5

2. MyMathLab (MML) is an on-line homework program and is a REQUIRED purchase. An access code for this online program can be purchased either separately or packaged with the textbook at the bookstore. Use the Course ID found on Angel and the college’s zip code 21679 when registering. The MML Registration Tutorial can be found at:

http://pearsonmylabandmastering.com/students/tours/

3. A scientific calculator will be necessary for this course, such as a TI-30 or TI-30X. A graphing calculator (TI-83 or TI-84) is recommended, but not required. You are responsible for understanding how to use your calculator and for making sure that it works on test days.

COURSE STRUCTURE:

1. Lectures: The class will meet two times per week for lectures on: Section 101: Mondays & Wednesdays from 11:30am – 12:45pm in HUM-114 Section 102: Tuesdays & Thursdays from 10:00am – 11:15am in HUM-114

New topics will be discussed in lecture. Reading assignments are to be completed BEFORE the lecture for which they are given allowing us to move quickly from topic to topic. Students, who regularly fall behind in the reading assignments, will find it hard to keep up with the pace of the class. In completing a reading assignment, students are simply expected to have been exposed to the material – not gain a complete understanding of the material.

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MAT 200 Sections 101 & 102

Fall 2012 2 Syllabus

2. In addition to lectures, the average student should spend six hours outside of class each week (two hours for every hour spent in class). Students whose background in mathematics is below average or who normally work at a slower than average pace, will need more time in order to keep up with the course materials.

MAT 200 WEBPAGE: go to http://www.chesapeake.edu and click on “Log on to Angel” in the menu at the bottom left side of the webpage. Or, go to:

https://angel.chesapeake.edu/default.asp

All relevant information will be available via Angel. If you have questions about things like course policies or due dates, check the course webpage in Angel! If you do not have access to the MAT 200 webpage in Angel, please email me ASAP with your name and section number.

MyMathLab WEBPAGE: Go to http://pearsonmylabandmastering.com/ and:

For initial registration, click the “Student” button under “Register” in the top right of the screen. Follow the directions given on Angel. Run the “Browser Check” in MML to make sure you have the appropriate plug-ins. The “Browser Check” is located on the bottom left hand side of the MML course page screen.

For subsequent use, click on the “Sign in” button in the box at the top right of the webpage.

All homework assignments and several quizzes will be available via MML. If you have questions about due dates for homework assignments, check the calendar in MML. If you experience any technical difficulties with MML, please contact MML’s Technical Support at 1-800-677-6337.

GRADING POLICY: This course consists of all or parts of chapters 1 – 3, 5 – 8, & 10 – 12 of the assigned textbook. Some chapters and/or sections will be skipped because the material is beyond the scope of this course. Also, some of the material is considered review in nature. The Course Outline on page 6 lists the sections, which will be presented from each of the chapters, and the intended order of presentation. All grades will be posted on Angel. The numerical final course grade will be computed as indicated in the following distribution and letter grades will be assigned as follows:

Components of Final Grade Letter Grade Homework ........................................ 10% A: 90% or more Quizzes .............................................. 10% B: 80% up to but less than 90% Projects .............................................. 5% C: 70% up to but less than 80% Tests ……………………………………………….. 55% D: 60% up to but less than 70% Final Exam ............................................ 20% F: Less than 60%

*** Note: I do NOT round up! An 89.9999% is a B not an A!

CALCULATING YOUR GRADE: To calculate your grade in the class, use the following formula:

Homeworks from Earned Points Total Pts Hwk

Quizzes from Earned Points Total Pts Quiz

Proj Pts = Total Points Earned from Projects

Tests from Earned Points Total Pts Test

Exam Final from Earned Points Total Pts Final

20%pts Final total

Pts Final%55

ptsTest total

PtsTest %5

pts Proj total

Pts Proj10%

pts Quiz total

Pts Quiz10%

ptsHwk total

PtsHwk %

Grade

Final

NOTES REGARDING GRADING:

1. Reading Assignments: The section material is to be read BEFORE the class period in which it will be covered. See the schedule at the end of the syllabus to know when a new section should be read. Reading a section ahead of time prepares you for class, homework assignments, quizzes, projects, tests, and the final exam.

2. Homework Assignments: Homework problems are given during the semester for the purpose of testing students’ comprehension and are assigned through an online program called MyMathLab (MML). This program

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MAT 200 Sections 101 & 102

Fall 2012 3 Syllabus

allows students to receive immediate feedback upon completing a problem. It also provides students with step-by-step assistance on how to solve problems. An access code for MML is located in your textbook. If you don’t have one, you will need to purchase one at the Bookstore or online. To get registered in MML, follow the instructions given in the “Getting Started with MML” handout on Angel and use the provided Course ID found on Angel and 21679 (zip code).

Registration Tutorial: http://pearsonmylabandmastering.com/students/tours/

Homework assignments are worth 10% of the final course grade. A homework assignment will be given for every section of the book covered during the course of the semester. Due dates for each section are listed on the calendar in MML. Students must copy and work each computational homework assignment on notebook paper using proper problem solving techniques. Homework assignments need to be kept in your notebook for use in studying for tests and the cumulative final exam.

3. Quizzes: A number of quizzes will be given during the semester. Some quizzes will be administered on MML. Other quizzes will be pop-quizzes and as such are not announced ahead of time. Quizzes are to be worked independently by the student and are given for the purpose of testing students' understanding of concepts covered during lecture. Quizzes are worth 10% of the final course grade. Illegible handwriting on the students’ part will result in the question being marked incorrect. Students that are not present in class when a quiz is administered will NOT be allowed to make up the quiz.

4. Tests: There will be 4 to 7 tests given during the course of the semester. Tests are worth 55% of the final course grade. Test dates will be announced during class at least one week in advance. NO test grade(s) will be dropped!

There are NO make-up tests! If you know ahead of time that you will be unable to be in class on a test day, you will need to email me at least one week in advance to set up a time to take the test early. Early tests can be taken no more than two weekdays before the test is administered in class.

At the end of the semester, I will use a student’s grade on the final exam as a replacement grade for his/her lowest test grade (provided the final exam grade is higher).

Note: Using a cell phone or other electronic device (except an appropriate calculator) during a test is prohibited and will result in a zero on that test.

5. Final Exam: There will be a final exam given during the last week of the semester. This final exam is worth 20% of the final course grade. It is a required exam and IS cumulative. The date, time, and location of the final exam are located on the last page of the syllabus.

6. Computer down time is NOT a valid reason for tardiness on assignments. Computers and computer programs do sometimes experience down time, so plan ahead. If you wait until the last day to complete your homework, you may face a long line at the computer lab or a computer problem. Procrastinate at your own risk!

7. Grading Disputes: Any grading dispute must be submitted in writing to me within one week after the assignment is returned. No changes will be made after this deadline. If your grading dispute cannot be received by me, you can slip it under my door (HUM-122) or email it to me. It is the responsibility of the student to check his or her grades for discrepancies on Angel.

8. MyMathLab Assignments: Be aware, you will not succeed in this class if you procrastinate with or do not complete the MML assignments. The various types of MML assignments are worth a total of 20% of the course grade. Failure to do MML assignments will mean that the best you can do in this class is an 80%, which is extremely unlikely as the MML assignments help prepare you for pop-quizzes, tests, and the final exam.

9. Extra Credit: There will be NO opportunities for extra credit.

POLICY REGARDING LATE ASSIGNMENTS: No late assignments will be accepted.

POLICY REGARDING ACADEMIC HONESTY: Conceptual discussion of homework assignments between students can be helpful and is encouraged. However, copying or sharing solutions is not allowed, as plagiarism is a form of cheating. This means that you can discuss questions in general, not in specifics!!! Each student must complete the homework questions on their own. Cheating includes representing the ideas of anybody except

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MAT 200 Sections 101 & 102

Fall 2012 4 Syllabus

yourself as your own ideas. Helping somebody else cheat is a form of academic dishonesty. Students are responsible for completing all quizzes, tests and the final exam without assistance (either voluntary or involuntary) from other students. If you have a question regarding the wording of a problem on a quiz, test, or the final exam, you may ask me to assist you with the wording. No communication among students during quizzes, tests or the final exam is allowed. Any form of academic dishonesty will be given the most severe penalty possible. As described in the Student Code of Conduct, “If based on substantial evidence, a student is deemed guilty of academic dishonesty, the College may initiate disciplinary action as follows:

1. The student may be required to repeat the assignment or the examination.

2. The student may be given a failing grade for the assignment or the examination.

3. The student may be given a failing grade for the course.

4. The student may be suspended or dismissed from the college.

POLICY REGARDING ATTENDANCE: Students are required to attend each class meeting. If you are unable to attend class, it is your responsibility to get the notes from another student and check the announcements on Angel. E-mail or talk to me immediately regarding any work missed.

Students who attend class sporadically often do not do well because of the nature of the course. In addition, since quizzes are given in-class and constitute 10% of the student’s final grade (a letter grade), it is in the best interest of each student to be present at every class session. Most students need guidance in understanding the procedures involved in developing a new mathematical process. If you find yourself unable to keep up with the class, see me during office hours or make an appointment to see me outside of class time.

POLICY REGARDING CLASSROOM ETIQUETTE: I expect all of my students to behave in an adult, respectful and polite manner towards both the instructor and their fellow classmates. As such, students are expected to respect each other’s rights to fully participate in the discussion of the day. The classroom tends to be fairly crowded, and discussions among students can be quite distracting to other students. To that end, it is expected that students will not engage in behaviors that distract the instructor and/or fellow classmates such as talking to each other, talking on cell phones, text messaging, leaving class for non-emergency needs, etc. If you need to ask your neighbor for clarification, please do so in a whisper. Or you can ask me, as questions asked for the benefit of the entire class are welcomed and encouraged. College policy prohibits young children from accompanying parents to class. I will give one warning to individuals that are disrupting the class. Individuals that continue to be disruptive will be asked to leave the classroom.

POLICY REGARDING CELL PHONES: Cell phones must be placed on the desk in front and to the side of each student such that the display is face down on the desk. ALL cell phones must be put on SILENT mode for the duration of the class. Students found to be texting in class or otherwise abusing their cell phones during class will be asked to leave.

POLICY REGARDING COURSE ATTEMPT LIMIT: Effective Spring 2008, students may only attempt a course a maximum of three times. Both Audits (L) and Withdrawals (W) count as an attempt at a course.

TRANSFERABILITY OF THIS COURSE: Students should check with their receiving institution as to the transferability of this course as well as what letter grades will transfer successfully.

SUPPORT SERVICES AVAILABLE:

Student Services:

Any student in this course who has a disability that may prevent him or her from fully demonstrating his or her abilities should contact Ms. Judy Gordon in Student Services (ext. 5805). Ms. Gordon can discuss the possibility of an accommodation plan with you to insure full participation and achievement of your educational goals.

For help with or information about advising, registration, career planning, financial aid, or the many other aspects of your life as a student at Chesapeake College, consult the Student Success and Enrollment Services office at http://www.chesapeake.edu/studentsuccess/default.asp

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MAT 200 Sections 101 & 102

Fall 2012 5 Syllabus

Academic Support Center: The Academic Support Center offers free math tutoring in room 105 of the Learning Resources Center. Find out more at http://www.chesapeake.edu/asc/index.asp

Project Mainstay Student Support Services Program: This is a federally funded TRIO program which offers free scheduled tutoring up to 2 hours per week to qualifying students in room 105 of the Learning Resources Center. To qualify, students must either be a first generation college student, be economically disadvantaged, have a physical disability, or have a learning disability.

ACADEMIC INSTRUCTION EMERGENCY MANAGEMENT PLAN: In the event that Chesapeake College needs to close for an extended period of time due to a flu pandemic, severe weather event, or other emergency situation, consideration will be given to the timing and duration of the closure as follows:

1. Closure during the semester for up to one week – there will be an opportunity to make up work missed without significant alteration to the semester calendar.

2. Closure extending beyond one week (or in situations where classes are cancelled on the same days/evenings over multiple weeks) – the College may extend the length of the semester. Depending on the timing of the closure, scheduled breaks, end of semester dates, and/or the processing of final grades might be impacted.

Students can acquire information about closures on the College website or by calling 410-822-5400 or 410-228-4360. Chesapeake College courses held at off campus sites will follow the protocol of the host facility.

COMMUNICATION WITH OTHER CLASSMATES: Experience has shown that when students form study groups and spend time discussing course topics with other students, their understanding of many of the difficult concepts greatly increases, and exam scores improve as a consequence. Therefore, students are encouraged to work on homework and study for exams with other students. Please take the time to get to know the students around you and to ask if they would like to exchange email addresses and/or phone numbers. This is optional, of course, but will help a great deal if you must be absent from class for some reason, and need to get notes and/or handouts from a classmate.

Chesapeake College Course Outcomes

Course Number and Title: MAT 200, Fundamentals of Mathematics Chesapeake College General Education Competencies The course material in this class should contribute to the development of many of the College’s general education objectives. This course should increase a student’s skills and knowledge to:

1. Communicate in oral and written English

Write clearly, correctly, logically, and ethically

Express their own ideas coherently, as well as work collaboratively with others in a responsible manner.

2. Read with comprehension

Summarize key concepts, make inferences, and draw conclusions.

Use appropriate reading strategies to analyze and understand different types of texts. 3. Think critically; reason abstractly

Identify, assess, and interpret relevant information.

Apply critical thinking skills to the solution of complex problems. 4. Apply technology to learning

Use current technology to communicate effectively with others in writing, presentations, and electronic communications.

5. Understand and interpret numerical data using quantitative method and literacy

Recognize mathematical problems in a variety of contexts, including their individual academic program, and apply mathematical skills in order to solve them.

Demonstrate the mathematical reasoning skills required in problem-solving and decision-making situations.

Interpret results and draw conclusions.

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MAT 200 Sections 101 & 102

Fall 2012 6 Syllabus

Interpret mathematical models such as formulas, graphs, tables, and schematics, and draw inferences from them.

Communicate mathematical information symbolically, visually, numerically, and verbally.

Demonstrate knowledge and interpretation of mathematical relationships, facts, concepts, and theories and show how they apply to their academic, professional, and personal lives.

Evaluate mathematical information and concepts.

MAT 200 Common Core Learning Outcomes: At the completion of this course, the student will be able to: 1. Apply the mathematical skills required in performing operations and problem-solving related to number theory,

linear equations and inequalities, percent applications, geometric formulas, counting methods, probability, and statistical formulas.

2. Analyze mathematical models such as formulas, equations, functions, sets, graphs, and tables and draw inferences from them.

3. Communicate mathematical information conceptually, symbolically, visually by graphing functions, using set and logic notation, and numerically using appropriate terminology.

4. Evaluate and/or interpret mathematical information, relationships, facts, concepts, and theories related to solving and graphing equations, set theory, logic, and geometric and statistical procedures.

MAT 200 Common Core Learning Objectives: At the completion of this course, the student will be able to:

1. Use critical thinking skills. 2. Understand and use basic skills involving set theory, logic, number theory, and the real number system. 3. Solve problems using algebra, graphs, functions, and geometry. 4. Solve systems of linear equations and inequalities. 5. Solve problems involving consumer mathematics. 6. Use probability and statistics to understand and solve problems.

Course Outline:

Chapters Topics Textbook Sections

1 Problem Solving and Critical Thinking 1.1, 1.3 5 Number Theory and the Real Number System 5.1 6 Algebra: Equations and Inequalities 6.1 – 6.4 7 Algebra: Graphs, Functions, and Linear Systems 7.1 – 7.5 2 Set Theory 2.1 – 2.4 3 Logic 3.1 – 3.5 11 Counting Methods and Probability Theory 11.1 – 11.7 12 Statistics 12.1 – 12.4 10 Geometry 10.1 – 10.5 8 Consumer Mathematics and Financial Management 8.1 – 8.3, 8.5

CHAPTER OBJECTIVES AND HOMEWORK ASSIGNMENTS: After completing each chapter, you should be able to accomplish the indicated objectives.

You will also need to complete the homework assignments and quizzes for that chapter on MyMathLab.

Chapter 1 – Problem Solving and Critical Thinking:

1. Understand and use inductive reasoning.

2. Understand and use deductive reasoning.

3. Solve problems using the organization of the four-step problem solving process.

Chapter 5 – Number Theory and the Real Number System:

1. Determine divisibility.

2. Write the prime factorization of a composite number.

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MAT 200 Sections 101 & 102

Fall 2012 7 Syllabus

3. Find the greatest common divisor of two numbers.

4. Solve problems using the greatest common divisor.

5. Find the least common multiple of two numbers.

6. Solve problems using the least common multiple.

Chapter 6 – Algebra: Equations and Inequalities:

1. Evaluate algebraic expressions.

2. Use mathematical models.

3. Understand the vocabulary of algebraic expressions.

4. Simplify algebraic expressions.

5. Solve linear equations.

6. Solve linear equations containing fractions.

7. Solve proportions.

8. Solve problems using proportions.

9. Identify equations with no solution or infinitely many solutions.

10. Use linear equations to solve problems.

11. Solve a formula for a variable.

12. Graph subsets of real numbers on a number line.

13. Solve linear inequalities.

14. Solve applied problems using linear inequalities.

Chapter 7 – Algebra: Graphs, Functions, and Linear Systems:

1. Plot points in the rectangular coordinate system.

2. Graph equations in the rectangular coordinate system.

3. Use function notation.

4. Graph functions.

5. Use the vertical line test.

6. Obtain information about a function from its graph.

7. Use intercepts to graph a linear equation.

8. Calculate slope.

9. Use the slope and y-intercept to graph a line.

10. Graph horizontal or vertical lines.

11. Interpret slope as a rate of change.

12. Use slope and y-intercept to model data.

13. Decide whether an ordered pair is a solution of a linear system.

14. Solve linear systems by graphing.

15. Solve linear systems by substitution.

16. Solve linear systems by addition.

17. Identify systems that do not have exactly one ordered-pair solution.

18. Solve problems using systems of linear equations.

19. Graph a linear inequality in two variables.

20. Use mathematical models involving linear inequalities.

21. Graph a system of linear inequalities.

22. Write an objective function describing a quantity that must be maximized or minimized.

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MAT 200 Sections 101 & 102

Fall 2012 8 Syllabus

23. Use inequalities to describe limitations in a situation.

24. Use linear programming to solve problems.

Chapter 2 – Set Theory:

1. Use three methods to represent sets.

2. Define and recognize the empty set.

3. Use the symbols and .

4. Apply set notation to a set of natural numbers.

5. Determine a set’s cardinal number.

6. Recognize equivalent sets.

7. Distinguish between finite and infinite sets.

8. Recognize equal sets.

9. Recognize subsets and use the notation .

10. Recognize proper subsets and use the notation .

11. Determine the number of subsets of a set.

12. Apply concepts of subsets and equivalent sets to infinite sets.

13. Understand the meaning of a universal set.

14. Understand the basic ideas of a Venn diagram.

15. Use Venn diagrams to visualize relationships between two sets.

16. Find the complement of a set.

17. Find the intersection of two sets.

18. Find the union of two sets.

19. Perform operations with sets.

20. Determine sets involving set operations from a Venn diagram.

21. Understand the meaning of and and or.

22. Use the formula for BAn .

23. Perform set operations with three sets.

24. Use Venn diagrams with three sets.

25. Use Venn diagrams to prove equality of sets.

Chapter 3 – Logic:

1. Identify English sentences that are statements.

2. Express statements using symbols.

3. Form the negation of a statement.

4. Express negations using symbols.

5. Translate a negation represented by symbols into English.

6. Express quantified statements in two ways.

7. Write negations of quantified statements.

8. Express compound statements in symbolic form.

9. Express symbolic statements with parentheses in English.

10. Use the dominance of connectives.

11. Use the definition of negation, conjunction, and disjunction.

12. Construct truth tables.

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MAT 200 Sections 101 & 102

Fall 2012 9 Syllabus

13. Determine the truth value of a compound statement for a specific case.

14. Understand the logic behind the definition of the conditional.

15. Construct truth tables for conditional .

16. Understand the definition of the biconditional.

17. Construct truth tables for biconditional statements.

18. Determine the truth value of a compound statement for a specific case.

19. Use truth tables to show that statements are equivalent.

20. Write the contrapositive for a conditional statement.

21. Write the converse and inverse of a conditional statement.

Chapter 11 – Counting Methods and Probability Theory:

1. Use the Fundamental Counting Principle to determine the number of possible outcomes in a given situation.

2. Use the Fundamental Counting Principle to count permutations.

3. Evaluate factorial expressions.

4. Use the permutations formula.

5. Find the number of permutations of duplicate items.

6. Distinguish between permutation and combination problems.

7. Solve problems involving combinations using the combination formula.

8. Compute theoretical probability.

9. Compute empirical probability.

10. Compute probabilities with permutations.

11. Compute probabilities with combinations.

12. Find the probability that an event will not occur.

13. Find the probability of one event or a second event occurring.

14. Understand and use odds.

15. Find the probability of one event and a second event occurring.

16. Compute conditional probabilities.

Chapter 12 – Statistics:

1. Describe the population whose properties are to be analyzed.

2. Select an appropriate sampling technique.

3. Organize and present data.

4. Identify deceptions in visual displays of data.

5. Determine the mean for a data set.

6. Determine the median for a data set.

7. Determine the mode for a data set.

8. Determine the midrange for a data set.

9. Determine the range for a data set.

10. Determine the standard deviation for a data set.

11. Recognize characteristics of normal distributions.

12. Understand the 68-95-99.7 Rule.

13. Find the scores at a specified standard deviation from the mean.

14. Use the 68-95-99.7 Rule.

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MAT 200 Sections 101 & 102

Fall 2012 10 Syllabus

15. Convert a data item to a z-score.

16. Understand percentiles and quartiles.

17. Use and interpret margins of error.

18. Recognize distributions that are not normal.

Chapter 10 – Geometry:

1. Understand points, lines, and planes as the basis of geometry.

2. Solve problems involving angle measures.

3. Solve problems involving angles formed by parallel lines and transversals.

4. Solve problems involving angle relationships in triangles.

5. Solve problems involving similar triangles.

6. Solve problems using the Pythagorean Theorem.

7. Name certain polygons according to the number of sides.

8. Recognize the characteristics of certain quadrilaterals.

9. Solve problems involving a polygon’s perimeter.

10. Find the sum of the measures of a polygon’s angles.

11. Understand tessellations and their angle requirements.

12. Use area formulas to compute the areas of plane regions and solve applied problems.

13. Use formulas for a circle’s circumference and area.

14. Use volume formulas to compute the volumes of three-dimensional figures and solve applied problems.

15. Compute the surface area of a three-dimensional figure.

Chapter 8 – Consumer Mathematics and Financial Management:

1. Express a fraction as a percent.

2. Express a decimal as a percent.

3. Express a percent as a decimal.

4. Solve applied problems involving sales tax and discounts.

5. Compute income tax.

6. Determine percent increase or decrease.

7. Investigate some of the ways percent can be abused.

8. Calculate simple interest.

9. Use the future value formula.

10. Use the simple interest formula on discounted loans.

11. Use compound interest formulas.

12. Calculate present value.

13. Understand and compute effective annual yield.

14. Compute the monthly payment and interest costs for a mortgage.

15. Prepare a partial loan amortization schedule.

16. Compute payments and interest for other kinds of fixed installment loans.

17. Find the interest, the balance due, and the minimum monthly payment for credit card loans.

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MAT 200 Sections 101 & 102

Fall 2012 11 Syllabus

MAT 200 TENTATIVE* Class Schedule

*This schedule is subject to change.

Day Sec./Assign. Suggested Practice Exercises

1 Intro., MML, 1.1 1.1--p. 9 #’s 1, 9, 11, 15, 17, 21, 23, 31, 33, 41, 43, 45, 49, 55, 59

2 1.3, 5.1 1.3--p. 33 #’s 1, 3, 7, 9, 11, 17, 19, 21, 23, 25, 27, 31, 33, 37, 39, 41, 47 5.1--p. 235 #’s 9, 21, 31, 41, 55, 61, 63, 69, 73, 75, 79, 85, 87, 91, 97

3 6.1, 6.2 6.1--p. 314 #’s 3, 9, 17, 23, 25, 37, 43, 47, 51, 53, 57, 63, 67 6.2--p. 328 #’s 5, 13, 23, 31, 33, 39, 43, 51, 57, 67, 69, 75, 83, 85, 95, 97

4 6.3, 6.4 6.3--p. 338 #’s 1, 3, 5, 9, 11, 16, 19, 21, 23, 27, 33, 35, 39, 41, 43, 55, 61 6.4--p. 348 #’s 3, 5, 9, 15, 19, 21, 23, 37, 53, 65, 69, 71, 75, 89

5 Test 1: 1.1, 1.3, 5.1, 6.1, 6.2, 6.3, 6.4

6 7.1, 7.2 7.1--p. 380 #’s 23, 27, 29, 31, 33, 39, 41, 43, 49, 55, 59, 63, 67, 71, 75, 79 7.2--p. 391 #’s 5, 9, 11, 15, 19, 23, 27, 35, 39, 43, 47, 49, 53, 57, 59, 61

7 7.3, 7.4 7.3--p. 405 #’s 1, 5, 7, 13, 17, 21, 25, 27, 31, 37, 39, 41, 55, 61, 63 7.4--p. 414 #’s 3, 5, 11, 17, 19, 23, 25, 29, 31, 33, 37, 39, 41, 47, 49, 51

8 7.5 7.5--p. 420 #’s 1, 5, 7, 9, 11, 13, 15, 17

9 Test 2: 7.1, 7.2, 7.3, 7.4, 7.5

10 2.1, 2.2 2.1--p. 53 #’s 1, 9, 13, 17, 21, 25, 31, 37, 41, 55, 61, 63, 69, 71, 73, 75, 77, 81, 85, 87, 91, 95, 99, 105 2.2--p. 62 #’s 1, 5, 13, 15, 17, 19, 23, 27, 29, 31, 35, 39, 45, 49, 53, 57, 59, 61, 67, 71, 73, 75, 97

11 2.3, 2.4 2.3--p. 74 #’s 1, 7, 11, 17, 19, 21, 25, 27, 29, 33, 35, 37, 39, 41, 47, 49, 51, 55, 75, 91, 103, 107, 113 2.4--p. 83 #’s 1, 3, 9, 11, 15, 17, 21, 23, 25, 29, 31, 33, 41, 43, 45, 49, 57, 61, 65, 69, 77, 81, 95, 101

12 Test 3: 2.1, 2.2, 2.3, 2.4

13 3.1, 3.2 3.1--p. 109 #’s 1, 7, 19, 21, 23, 25, 31, 33, 35, 39, 47, 49, 51, 57, 59 3.2--p. 120 #’s 3, 5, 7, 11, 17, 19, 21, 23, 25, 27, 29, 31, 35, 37, 39, 41, 47, 49, 51, 61, 73, 85, 95

14 3.3, 3.4 3.3--p. 135 #’s 1, 7, 9, 13, 15, 21, 23, 25, 27, 29, 33, 35, 39, 51, 61, 65, 69, 79, 85 3.4--p. 146 #’s 1, 9, 15, 19, 25, 29, 31, 35, 37, 39, 41, 45, 49, 53, 55, 63, 73

15 3.5 3.5--p. 155 #’s 1, 5, 7, 9, 15, 17, 19, 21, 25, 29, 31, 33, 35

16 Test 4: 3.1, 3.2, 3.3, 3.4, 3.5

17 11.1, 11.2, 11.3 11.1--p. 606 #’s 1, 3, 5, 7, 9, 19, 21 11.2--p. 613 #’s 1, 3, 5, 7, 11, 29, 41, 47, 51, 55 11.3--p. 619 #’s 1, 9, 13, 19, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 49, 51, 53, 55

Page 12: Chesapeake College MAT 200 Fundamentals of Mathematics ...info.chesapeake.edu/faculty/syllabi/MAT-200-101-12Fa.pdf · many topics including problem-solving, calculators and computes,

MAT 200 Sections 101 & 102

Fall 2012 12 Syllabus

18 11.4, 11.5 11.4--p. 627 #’s 1, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, 35, 39, 47, 53 11.5--p. 634 #’s 1, 5, 7, 11, 13, 15, 17

19 11.6, 11.7 11.6--p. 644 #’s 1, 5, 7, 11, 15, 17, 19, 21, 23, 25, 29, 33, 39, 47, 51, 59, 65 11.7--p. 656 #’s 1, 3, 5, 7, 11, 17, 19, 25, 27, 35, 41, 47, 55, 59, 71

20 Test 5: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7

21 12.1, 12.2 12.1--p. 683 #’s 1, 5, 7, 9, 11, 13, 15, 20, 23, 27, 35 12.2--p. 696 #’s 3, 9, 13, 17, 27, 31, 33, 37, 45, 49, 53, 63

22 12.3, 12.4 12.3--p. 705 #’s 5, 9, 13, 17, 23, 27, 29, 31, 33, 37 12.4--p. 717 #’s 3, 9, 11, 15, 19, 29, 33, 41, 47, 51, 57, 63, 67, 73

23 Test 6: 12.1, 12.2, 12.3, 12.4

24 10.1, 10.2 10.1--p. 537 #’s 1, 5, 9, 11, 13, 15, 23, 25, 27, 29, 31, 33, 35, 39, 43, 55 10.2--p. 546 #’s 1, 3, 5, 7, 9, 13, 15, 17, 21, 25, 27, 33, 35, 39, 41

25 10.3, 10.4, 10.5 10.3--p. 555 #’s 1, 5, 11, 17, 21, 25, 29, 31, 33, 35, 37, 39, 43, 47 10.4--p. 564 #’s 5, 9, 13, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 41, 45, 47 10.5--p. 573 #’s 3, 7, 9, 13, 19, 21, 25, 27, 29, 31, 33, 39, 47

26 Test 7: 10.1, 10.2, 10.3, 10.4, 10.5

27 8.1, 8.2 8.1--p. 452 #’s 5, 13, 15, 21, 25, 27, 21, 35, 39, 43, 47, 51, 55, 61, 67 8.2--p. 458 #’s 1, 5, 7, 9, 13, 17, 25, 27, 35, 39

28 8.3, 8.5 8.3--p. 466 #’s 1, 3, 5, 7, 9, 13, 17, 23, 29, 33, 39, 41, 47, 51, 55 8.5--p. 491 #’s 1, 3, 7, 9, 15, 19, 21

29 Final Exam** Final Exam Review will be provided

**Final Exam Time

MAT 200-101 -- Wed., Dec. 5 from 11:00am-1:00pm -- HUM-114 MAT 200-102 -- Thurs., Dec. 6 from 9:30am-11:30am -- HUM-114

Important Dates: Labor Day, September 3, No Class, Campus Closed Mid-term Grades Due Mon., October 22 Last day to Withdraw from or Audit a Class is Thurs., November 1 Online Registration for currently enrolled students, Wed., Nov. 7 College-wide advising and registration for currently enrolled students, Nov. 7 – Dec. 3 Open registration, Dec. 3 – Jan. 21, 2013 Thanksgiving Break, No classes, Wed., Nov. 21 – Sun., Nov. 25 Final Exams, Tues., Dec. 4 – Mon., Dec. 10 Final Grades Due, Thurs., Dec. 13