MAT 120

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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.

TITLE OF COURSE:

Mathematics for the Liberal Arts

PREFIX/NUMBER:

MAT 120

CREDIT HOURS:

4

2.

PREREQUISITE:

Successful completion of MAT 090 with a S/C or better or ACCUPLACER Math Test score of 85 – 120 (EA)

3.

RESOURCES NEEDED:

TEXT:

Mathematics All Around Us, 4^th edition with MML+ Student Access Kit by Thomas L. Pirnot

ISBN: 9780558972530

SUPPLIES:

MyLabsPlus Student Access Kit (packaged with new textbook or may be purchased online), paper, pencil and scientific calculator.

4.

COURSE DESCRIPTION:

Develops mathematical and problem-solving skills. Appropriate technological skills are included. Content is selected to highlight connections between mathematics and the society in which we live. Topics include set theory and logic, mathematical modeling, probability and statistical methods, and consumer mathematics. Additional content will include one topic in geometry, numeration systems, decision theory, or management science.

5.

COURSE OBJECTIVES :

A.      Solve problems involving principles of set theory and logic.

B.      Solve problems involving mathematical modeling.

C.      Solve problems involving probability.

D.     Solve problems involving statistics.

E.      Solve problems involving consumer mathematics.

F.       AT LEAST ONE OF THE FOLLOWING TOPICS IS ALSO REQUIRED

A.      Solve problems involving Euclidean geometry.

B.      Solve problems involving varying numeration systems.

C.      Solve problems involving mathematics of social choice.

D.     Solve problems involving management science

6.

EVALUATION PROCEDURES:

The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout.

Grading Scale:
The following Grading Scale will be used:

90% – 100% - A
80% – 89% - B
70% – 79% - C
60% - 69% - D
0% - 59% - F

7.

COURSE OUTLINE:

Textbook Chapters 1 – 15 (Chapters 1 – 3, 6, 7, 9, 10, 15 required; At least one of Chapters 4, 5, 8, 11 – 14 must be covered)

1. Problem Solving

1.1 Problem Solving

1.2 Inductive and Deductive Reasoning

1.3 Estimation

2. Set Theory

2.1 The Language of Sets

2.2 Comparing Sets

2.3 Set Operations

2.4 Survey Problems

2.5 Looking Deeper: Infinite Sets

3. Logic

3.1 Statements, Connectives, and Quantifiers

3.2 Truth Tables

3.3 The Conditional and Biconditional

3.4 Verifying Arguments

3.5 Using Euler Diagrams to Verify Syllogisms

3.6 Looking Deeper: Fuzzy Logic

4. Graph Theory (Networks)

4.1 Graphs, Puzzles, and Map Coloring

4.2 The Traveling Salesperson Problem

4.3 Directed Graphs

4.4 Looking Deeper: Scheduling Projects Using PERT

5. Numeration Systems

5.1 The Evolution of Numeration Systems

5.2 Place Value Systems

5.3 Calculating in Other Bases

5.4 Looking Deeper: Modular Systems

6. Number Theory and the Real Number System

6.1 Number Theory

6.2 The Integers

6.3 The Rational Numbers

6.4 The Real Number System

6.5 Exponents

6.6 Looking Deeper: Sequences

7. Algebraic Models

7.1 Linear Equations

7.2 Modeling with Linear Equations

7.3 Modeling with Quadratic Equations

7.4 Exponential Equations and Growth

7.5 Proportions and Variations

7.6 Functions

7.7 Looking Deeper: Dynamical Systems

8. Modeling with Systems of Linear Equations and Inequalities

8.1 Systems of Linear Equations

8.2 Systems of Linear Inequalities

8.3 Looking Deeper: Linear Programming

9. Consumer Mathematics

9.1 Percent Change and Taxes

9.2 Interest

9.3 Consumer Loans

9.4 Annuities

9.5 Amortization

9.6 Looking Deeper: Annual Percentage Rate

10. Geometry

10.1 Lines, Angles, and Circles

10.2 Polygons

10.3 Perimeter and Area

10.4 Volume and Surface Areas

10.5 The Metric System and Dimensional Analysis

10.6 Geometric Symmetry and Tessellations

10.7 Looking Deeper: Fractals

11. Apportionment

11.1 Understanding Apportionment

11.2 The Huntington-Hill Apportionment Principle

11.3 Applications of the Apportionment Principle

11.4 Other Paradoxes and Apportionment Methods

11.5 Looking Deeper: Fair Division

12. Voting

12.1 Voting Models

12.2 Defects in Voting Methods

12.3 Weighted Voting Systems

12.4 Looking Deeper: The Shapely-Shubik Index

13. Counting

13.1 Introduction to Counting Methods

13.2 The Fundamental Counting Principle

13.3 Permutations and Combinations

13.4 Looking Deeper: Counting and Gambling

14. Probability

14.1 The Basics of Probability Theory

14.2 Complements and Unions of Events

14.3 Conditional Probability and Intersections of Events

14.4 Expected Value

14.5 Looking Deeper: Binomial Experiments

15. Descriptive Statistics

15.1 Organizing and Visualizing Data

15.2 Measures of Central Tendency

15.3 Measures of Dispersion

15.4 The Normal Distribution

15.5 Looking Deeper: Linear Correlation

8.

METHODS OF INSTRUCTION:

To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities.

Special Note for Pueblo Campus: This course uses MyLabsPlus for all assignments and exams and requires active participation in the use of the online software program. All Assignments and Exams must be done in MyLabsPlus.

Special Note for Online Section (01W): This course requires active participation in using computer software to view demonstrations, hear lectures, and respond to assignments on the web. Class meetings will be delivered on the web. YOU ARE NOT REQUIRED TO ATTEND ONSITE CLASSES; ALL WORK IS COMPLETED ONLINE. The examinations will be given via MyMathLab. You must have access to a computer that allows access to the internet, if you do not have such access, you MUST drop from the course immediately.

The instructor may assign point values to such activities.

9.

ACADEMIC INTEGRITY:

The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.

10.

DISABILITY STATEMENT:

Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.

11.

SPECIAL REMARKS:

Homework: Homework will be assigned and evaluated as determined by the instructor.

Attendance: Attendance will be taken and students may be withdrawn from the class when they have missed 20% of the total class time. Missed exams will result in a zero for that exam unless prior arrangements have been made.

Special Note for Online Section (01W): You are not required to attend on campus classes. All coursework is completed online. Your first login to Desire2Learn (D2L) and/or MyLabsPlus (MLP) is considered attending class for the first time. Subsequent logins constitutes attending class. Your last date of attendance will be recorded based on your last login to either D2L or MLP.

Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class.

Use of Electronics in the Classroom: Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.

1.	TITLE OF COURSE:	Mathematics for the Liberal Arts
	PREFIX/NUMBER:	MAT 120	CREDIT HOURS:	4
2.	PREREQUISITE:	Successful completion of MAT 090 with a S/C or better or ACCUPLACER Math Test score of 85 – 120 (EA)
3.	RESOURCES NEEDED:
	TEXT:	Mathematics All Around Us, 4^th edition with MML+ Student Access Kit by Thomas L. Pirnot ISBN: 9780558972530
	SUPPLIES:	MyLabsPlus Student Access Kit (packaged with new textbook or may be purchased online), paper, pencil and scientific calculator.
4.	COURSE DESCRIPTION:	Develops mathematical and problem-solving skills. Appropriate technological skills are included. Content is selected to highlight connections between mathematics and the society in which we live. Topics include set theory and logic, mathematical modeling, probability and statistical methods, and consumer mathematics. Additional content will include one topic in geometry, numeration systems, decision theory, or management science.
5.	COURSE OBJECTIVES :	A. Solve problems involving principles of set theory and logic. B. Solve problems involving mathematical modeling. C. Solve problems involving probability. D. Solve problems involving statistics. E. Solve problems involving consumer mathematics. F. AT LEAST ONE OF THE FOLLOWING TOPICS IS ALSO REQUIRED A. Solve problems involving Euclidean geometry. B. Solve problems involving varying numeration systems. C. Solve problems involving mathematics of social choice. D. Solve problems involving management science
6.	EVALUATION PROCEDURES:	The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout. Grading Scale: The following Grading Scale will be used: 90% – 100% - A 80% – 89% - B 70% – 79% - C 60% - 69% - D 0% - 59% - F
7.	COURSE OUTLINE:	Textbook Chapters 1 – 15 (Chapters 1 – 3, 6, 7, 9, 10, 15 required; At least one of Chapters 4, 5, 8, 11 – 14 must be covered) 1. Problem Solving 1.1 Problem Solving 1.2 Inductive and Deductive Reasoning 1.3 Estimation 2. Set Theory 2.1 The Language of Sets 2.2 Comparing Sets 2.3 Set Operations 2.4 Survey Problems 2.5 Looking Deeper: Infinite Sets 3. Logic 3.1 Statements, Connectives, and Quantifiers 3.2 Truth Tables 3.3 The Conditional and Biconditional 3.4 Verifying Arguments 3.5 Using Euler Diagrams to Verify Syllogisms 3.6 Looking Deeper: Fuzzy Logic 4. Graph Theory (Networks) 4.1 Graphs, Puzzles, and Map Coloring 4.2 The Traveling Salesperson Problem 4.3 Directed Graphs 4.4 Looking Deeper: Scheduling Projects Using PERT 5. Numeration Systems 5.1 The Evolution of Numeration Systems 5.2 Place Value Systems 5.3 Calculating in Other Bases 5.4 Looking Deeper: Modular Systems 6. Number Theory and the Real Number System 6.1 Number Theory 6.2 The Integers 6.3 The Rational Numbers 6.4 The Real Number System 6.5 Exponents 6.6 Looking Deeper: Sequences 7. Algebraic Models 7.1 Linear Equations 7.2 Modeling with Linear Equations 7.3 Modeling with Quadratic Equations 7.4 Exponential Equations and Growth 7.5 Proportions and Variations 7.6 Functions 7.7 Looking Deeper: Dynamical Systems 8. Modeling with Systems of Linear Equations and Inequalities 8.1 Systems of Linear Equations 8.2 Systems of Linear Inequalities 8.3 Looking Deeper: Linear Programming 9. Consumer Mathematics 9.1 Percent Change and Taxes 9.2 Interest 9.3 Consumer Loans 9.4 Annuities 9.5 Amortization 9.6 Looking Deeper: Annual Percentage Rate 10. Geometry 10.1 Lines, Angles, and Circles 10.2 Polygons 10.3 Perimeter and Area 10.4 Volume and Surface Areas 10.5 The Metric System and Dimensional Analysis 10.6 Geometric Symmetry and Tessellations 10.7 Looking Deeper: Fractals 11. Apportionment 11.1 Understanding Apportionment 11.2 The Huntington-Hill Apportionment Principle 11.3 Applications of the Apportionment Principle 11.4 Other Paradoxes and Apportionment Methods 11.5 Looking Deeper: Fair Division 12. Voting 12.1 Voting Models 12.2 Defects in Voting Methods 12.3 Weighted Voting Systems 12.4 Looking Deeper: The Shapely-Shubik Index 13. Counting 13.1 Introduction to Counting Methods 13.2 The Fundamental Counting Principle 13.3 Permutations and Combinations 13.4 Looking Deeper: Counting and Gambling 14. Probability 14.1 The Basics of Probability Theory 14.2 Complements and Unions of Events 14.3 Conditional Probability and Intersections of Events 14.4 Expected Value 14.5 Looking Deeper: Binomial Experiments 15. Descriptive Statistics 15.1 Organizing and Visualizing Data 15.2 Measures of Central Tendency 15.3 Measures of Dispersion 15.4 The Normal Distribution 15.5 Looking Deeper: Linear Correlation
8.	METHODS OF INSTRUCTION:	To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities. Special Note for Pueblo Campus: This course uses MyLabsPlus for all assignments and exams and requires active participation in the use of the online software program. All Assignments and Exams must be done in MyLabsPlus. Special Note for Online Section (01W): This course requires active participation in using computer software to view demonstrations, hear lectures, and respond to assignments on the web. Class meetings will be delivered on the web. YOU ARE NOT REQUIRED TO ATTEND ONSITE CLASSES; ALL WORK IS COMPLETED ONLINE. The examinations will be given via MyMathLab. You must have access to a computer that allows access to the internet, if you do not have such access, you MUST drop from the course immediately. The instructor may assign point values to such activities.
9.	ACADEMIC INTEGRITY:	The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.
10.	DISABILITY STATEMENT:	Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.
11.	SPECIAL REMARKS:	*Homework: Homework will be assigned and evaluated as determined by the instructor. Attendance: Attendance will be taken and students may be withdrawn from the class when they have missed 20% of the total class time. Missed exams will result in a zero for that exam unless prior arrangements have been made. Special Note for Online Section (01W):* You are not required to attend on campus classes. All coursework is completed online. Your first login to Desire2Learn (D2L) and/or MyLabsPlus (MLP) is considered attending class for the first time. Subsequent logins constitutes attending class. Your last date of attendance will be recorded based on your last login to either D2L or MLP. *Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE* in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class. *Use of Electronics in the Classroom:* Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.