University of Houston
Mathematics Department
Math 1313: Finite Mathematics
Prerequisite: Credit for or placement out of Math 1310. Students with prior credit for MATH 2331 or INDE 2331 will not receive credit for Math 1313. May not apply to a major or minor in Mathematics.
Course Description: Systems of linear equations, introduction to linear programming, mathematics of finance, topics in probability and statistics.
Textbook: College Mathematics
for the Managerial, Life, and Social Sciences, 5th edition,
S.T. Tan; Brooks/Cole Pub. Available online at http://casa.uh.edu
Course Policies (pdf)
Course Syllabus
Chapter 1: Straight Line and Linear
Functions
1.2 Straight Lines
1.3 Linear Functions and Mathematical Models
1.4 Intersection of Straight Lines
1.5 The Method of Least Squares
Chapter 2: System of Linear Equations and Matrices
2.2 Solving Systems of Linear Equations I
2.3 Solving Systems of Linear Equations II
2.4 Matrices
2.5 Multiplication of Matrices
2.6 The Inverse of a Square Matrix
Chapter 3: Linear Programming: A Geometric Approach
3.1 Graphing Systems of
Linear Inequalities in Two Variables
3.2 Linear Programming Problems
3.3 Graphical Solution of Linear Programming Problems
Chapter 5: Mathematics of Finance
5.1 Compound Interest
5.2 Annuities
5.3 Amortizations and Sinking Funds
Chapter 6: Sets and Counting
6.1 Sets and Set Operations
6.2 The Number of Elements in a Finite Set
6.3 The Multiplication Principle
6.4 Permutations and Combinations
Chapter 7: Probability
7.1 Experiments, Sample Spaces, and Events
7.2 Definition of Probability
7.3 Rules of Probability
7.4 Use of Counting Techniques in Probability
7.5 Conditional Probability and Independent Events
7.6 Bayes'Theorem
Chapter 8: Probability Distributions and Statistics
8.1 Distributions of Random Variables
8.2 Expected Value
8.3 Variance and Standard Deviation
8.4 The Binomial Distribution
8.5 The Normal Distribution
8.6 Applications of the Normal Distribution