Math 1332 College Mathematics for Liberal Arts Information

Catalog Description
College Mathematics for Liberal Arts is a course designed for liberal arts and other nonmathematics, non-science, and nonbusiness majors, emphasizing an appreciation of the art, history, beauty, and applications of mathematics. Topics may include, but are not limited to, sets, logic, number theory, measurement, geometric concepts, and an introduction to probability and statistics.

Course Learning Outcomes
The student will:
• Demonstrate a mastery of the language of sets.
• Solve counting applications using permutation and combinations.
• Compute probabilities, including conditional probabilities, using principles of sets and counting.
• Identify the use and misuse of statistics in the real world.
• Create and interpret various methods of statistical display.

Contact Hour Information
Credit Hours:  3
Lecture Hours:  3
Lab Hours:  0
External Hours:  0
Total Contact Hours:  48

Prerequisites
MATH 0310 or placement by testing;
ENGL 0305 or ENGL 0365 OR higher level course (ENGL 1301), OR placement by testing

Corequisite
ENGL 0307

Required Materials

Textbook:
Blitzer, Robert; Thinking Mathematically, 5th ed. with MyMathLab access;  Pearson; ISBN Numbers:
          Textbook Plus MyMathLab Portal Access:  9780558645793
          Textbook Only:  9780321645852
          MyMathLab Portal Access Only:  9780558357603
 

Calculator:
Graphing Calculator required.  TI 83, TI 84 or TI 86 series calculators recommended. 
Calculators capable of symbolic manipulation will not be allowed on tests.  Examples include, but are not limited to, TI 89, TI 92, and Nspire CAS models and HP 48 models. 
Neither cell phones nor PDA’s can be used as calculators.  Calculators may be cleared before tests.

Textbook Sections

(Note: This course is designed to be very flexible to meet the needs of a wide variety of students.  There are certain topics that must be covered to meet the required outcomes of the course and the catalog description; these are listed below.  The instructor is then free to pick and choose topics from the remainder of the text to fill out the semester. The chapters are largely independent of one another.)

Chapter 2.  Set Theory

2.1 Basic Set Concepts

2.2 Subsets

2.3 Venn Diagrams and Set Operations

2.4 Set Operations and Venn Diagrams with Three Sets

2.5 Survey Problems

Chapter 3.  Logic

3.1 Statements, Negations and Quantified Statements

3.2 Compound Statements and Connectives

3.3 Truth Tables for Negation, Conjunction and Disjunction

3.4 Truth Tables for the Conditional and Biconditional

3.5 Equivalent Statements and Variations of Conditional Statements

3.6 Negations of Conditional Statements and De Morgan's Laws

3.7 Arguments and Truth Tables

3.8 Arguments and Euler Diagrams

Chapter 11.  Counting Methods and Probability Theory

11.1 The Fundamental Counting Principle

11.2 Permutations

11.3 Combinations

11.4 Fundamentals of Probability

11.5 Probability with the Fundamental Counting Principle, Permutations and Combinations

11.6 Events Involving Not and Or, Odds

11.7 Events Involving And; Conditional Probability

Chapter 12. Statistics

12.1 Sampling, Frequency Distributions and Graphs

12.2 Measures of Central Tendency

12.3 Measures of Dispersion