COURSE GUIDELINES
Course Title: _Topics in Finite Mathematics
Course No. __MAT 210 No. of Credits _3-4____ Associate Degree Designation: MS
Contact hrs/wk: Lecture _3-4_____ Lecture/Discussion_________ Lab_________
Course Prerequisites: A grade of C or better in MAT 110 or MAT 124 or equivalent, or placement based on placement test score.
Catalog description:
Matrices, linear programming and applications, probability, Markov chains and mathematics of finance.
Course content (list of topics normally covered):
1) Matrices and systems of linear equations; Gauss-Jordan elimination; inverse matrices; applications of linear systems.
2) Linear programming and the simplex method; nonstandard linear programming problems and dual problems.
3) Mathematics of Finance; annuities and their applications.
4) Finite sets; counting via permutations and combinations.
5) Probability for finite sample spaces; relative frequencies; rules of probability; conditional probability and Bayes’ Theorem; expected value.
6) Stochastic processes and Markov chains; absorbing Markov chains (optional).
Content-based department proficiencies:
· Be able to formulate and solve applications as systems of linear equations or linear inequalities.
· Be able to formulate and solve applications of linear systems in matrix form; be able to interpret and solve applications using matrix operations.
· Be able to distinguish standard and nonstandard linear programming problems; be able to use the simplex method; and be able to interpret and solve practical applications as linear programming problems.
· Be able to recognize simple annuities; be able to distinguish present and future values in practical applications.
· Be able to count large finite sets.
· Be able to construct probability models; be able to distinguish the relative frequency model from the uniform probability model; be able to distinguish a Markov chain from an arbitrary stochastic process.
Colleges-wide proficiencies assigned to course:
Students should be able to demonstrate the following:
A. Analytical skills Performance Indicators: Students should be able to:
1. Interpret and synthesize information and ideas.
4. Select and apply scientific and other appropriate methodologies.
B. Quantitative skills Performance Indicators: Students should be able to:
1. Solve quantitative and mathematical problems.
2. Interpret graphs, tables, and diagrams.
Representative textbooks used for the courses: (editions change over time)
Finite Mathematics for the Managerial, Life, and Social sciences, 6th ed. S.T. Tan
Finite Mathematics and its Applications, 7th ed. Goldstein, Schneider, and Siegel.
Finite Mathematics, 6th ed. Lial, Miller, and Greenwall
Approved April 22, 2006