Maricopa Community Colleges  MAT162   19996-20064 
Official Course Description: MCCCD Approval: 02/28/06
MAT162 19996-20064 LEC 3 Credit(s) 3 Period(s)
University Mathematics
Overview of contemporary and applicable mathematics. Graphical analysis, growth and decay models, probability, statistics, geometric proportions, and dimensional analysis. Prerequisites: MAT150, or MAT151, or MAT152, or satisfactory score on District placement exam, or equivalent.
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MCCCD Official Course Competencies:
 
MAT162   19996-20064 University Mathematics
1. Find the average rate of change of an arbitrary function. (I)
2. Fit a curve to a set of data points and use the model to make predictions. (I)
3. Use algebraic and graphical approaches to solve problems of exponential growth and decay. (II)
4. Calculate the future value and the present value of an annuity. (II)
5. Solve problems involving amortized mortgage loans. (II)
6. Use the multiplication principle, permutations, and combinations to solve counting problems. (III)
7. Solve probability problems involving compound events and conditional probability. (III)
8. Compute the expected value for a given experiment. (III)
9. Construct, read, and interpret various statistical graphs. (IV)
10. Compute the mean, median, and standard deviation of a given data set. (IV)
11. Use the properties of a normal distribution to make statistical inferences about a given data set. (IV)
12. Convert from one compound unit of measure to another. (V)
13. Use technology to solve some applied math problems. (I, II, III, IV, V, IX)
14. Find the derivative of a polynomial function. (VI)
15. Compute the sum of an arithmetic or geometric sequence. (VII)
16. Find the fractal dimension of a fractal. (VIII)
17. Determine if a network has an Euler circuit. (X)
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MCCCD Official Course Outline:
 
MAT162   19996-20064 University Mathematics
    I. Graphical analysis
        A. Distance vs. time graphs
        B. Linear vs. non-linear graphs
        C. Average rates of change (secant lines)
      II. Growth and decay models
          A. Arithmetic growth
          B. Exponential growth
          C. Applications to finance
            1. annuities
            2. amortized loans
            3. depreciation and inflation
        III. Probability
            A. Independent and dependent events
            B. Conditional probability
            C. Counting techniques with combinations and permutations
            D. Expected value and odds
          IV. Descriptive statistics
              A. Statistical graphs
              B. Measures of central tendency
              C. Measures of dispersion
              D. Normal distribution and z-scores
            V. Geometric proportion and dimensional analysis
                A. Geometric proportions in one, two, and three dimensions
                B. Compound unit conversion and dimensional analysis
              VI. Introductory calculus topics
                VII. Sequences and series
                  VIII. Geometry
                      A. Fractals
                      B. Perspective projections and 3D geometry
                      C. Geometry in art and design
                    IX. Mathematical applications involving computers, CBL, or other technology
                      X. Topics in discrete mathematics
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