Maricopa Community Colleges  MAT172   19966-20045 
Official Course Description: MCCCD Approval: 06/27/95
MAT172 19966-20045 LEC 3 Credit(s) 3 Period(s)
Finite Mathematics
An introduction to the mathematics required for the study of social and behavioral sciences. Includes sets, combinatorics, probability, matrix algebra, linear programming and mathematics of finance. Prerequisites: Grade of "C" or better in MAT150, or MAT151, or MAT152, or equivalent, or satisfactory score on District placement exam.
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MCCCD Official Course Competencies:
 
MAT172   19966-20045 Finite Mathematics
1. Solve linear systems with two and three equations. (I)
2. Solve systems of linear inequalities using linear programming. (II)
3. Compute simple and compound interest. (III)
4. Calculate the cost of repaying a loan using the amortization method. (III)
5. Solve counting problems using permutations and combinations. (IV)
6. Use Markov chains, Bayes' formula, or binomial experiments to determine the probability of an event. (V, VI)
7. Develop a frequency distribution for a series of scores. (VII)
8. Calculate the mean, median, and standard deviation for a series of scores. (VII)
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MCCCD Official Course Outline:
 
MAT172   19966-20045 Finite Mathematics
    I. Systems of linear equations and matrices
        A. Linear systems with two and three equations
        B. Elementary operations and the Gauss-Jordan method
        C. The Gauss-Jordan and Gaussian elimination methods
        D. Introduction to matrices
        E. Matrix inverses
        F. The Leontief input-output model
      II. Linear programming
          A. Systems of linear inequalities
          B. Linear programming in two dimensions
          C. Applications of linear programming
          D. Slack variables and the simplex tableau
          E. The Simplex method
          F. Duality and postoptimal analysis
        III. The mathematics of finance
            A. Simple interest
            B. Compound interest
            C. Annuities
            D. The amortization method for repaying loans
          IV. Sets and counting
              A. Introduction to the algebra of sets
              B. Four counting techniques
              C. Permutations and combinations
            V. Probability
                A. The probability experiment and sample spaces
                B. The concept of probability
                C. Conditional probability and independence of events
                D. Random variables and their probability distributions
              VI. Applications of probability
                  A. Bayes' formula
                  B. |Binomial experiments
                  C. Simulation
                VII. Introduction to statistics
                    A. Frequency distributions and polygons
                    B. Measures of central tendency and dispersion
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