MATH 105

                 COURSE OUTLINE

Textbook: Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences, Ernest F. Hauessler Jr., Richard S.Paul (11th Edition)

CHAPTER 1: Applications of Equations and Inequalities

1.1. Applications of Equations

1.2. Linear Inequalities

1.3. Applications of Inequalities

1.4. Absolute Value

1.5. Review

CHAPTER 2: Functions and Graphs

2.1. Functions

2.2. Special Functions

2.3. Combinations and Functions

2.5. Graphs in Rectangular Coordinates

2.6. Symmetry

2.7. Translations and Reflections

2.8. Review

CHAPTER 3: Lines, Parabolas and Systems

3.1. Lines

3.2. Applications and Linear Functions

3.3. Quadratic Functions

3.4. Systems of Linear Equations

3.5. Nonlinear Systems

3.7. Review

CHAPTER 4: Matrix Algebra

6.1. Matrices

6.2. Matrix Addition and Scalar Multiplication

6.3. Matrix Multiplication

6.4. Solving Systems by Reducing Matrices

6.5. Solving Systems by Reducing Matrices (continued)

6.6. Inverses

6.8. Review

CHAPTER 5: Linear Programming

7.1. Linear Inequalities in Two Variables

7.2. Linear Programming

7.3. Multiple Optimum Solutions

CHAPTER 6: Introduction to Probability and Statistics

8.1. Basic Counting Principle and Permutations

8.2. Combinations and Other Counting Principles

8.3. Sample Spaces and Events

8.4. Probability

8.5. Conditional Probability and Stochastic Processes

8.6. Independent Events

8.7. Bayes’ Formula

8.8. Review

CHAPTER 7: Additional Topics in Probability

9.1. Discrete Random Variables and Expected Value

9.2. The Binomial Distribution

9.4. Review

CHAPTER 8: Continuous Random Variables

16.1. Continuous Random Variables

16.2. The Normal Distribution

16.3. The Normal Approximation to the Binomial Distribution

16.4. Review

CHAPTER 9: Mathematics of Finance

5.1 Compound Interest

5.2 Present Value

5.3 Annuities