Maricopa Community Colleges  MAT151   19992-20015 
Official Course Description:   MCCCD Approval:  12/08/98
MAT151      19992-20015 LEC 4 Credit(s) 4 Period(s)
College Algebra/Functions
A study of quadratic equations, relations and functions, theory of equations, systems of equations and inequalities, matrices and determinants, binomial theorem, sequences, series, permutations, combinations and probability. May receive credit for only one of the following: MAT150, MAT151, MAT152, or MAT187. Prerequisites: Grade of "C" or better in MAT120 or MAT121 or MAT122 or equivalent, or satisfactory score on District placement exam.
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MCCCD Official Course Competencies:
MAT151   19992-20015 College Algebra/Functions
1. Determine symmetries with respect to X axis, Y axis, or origin when given an equation. (I)
2. State the vertical line test for a function. (I)
3. Apply functional notation. (I)
4. Determine if a function is even, odd, or neither. (I)
5. Graph functions. (I)
6. Explain the relationship between the slopes of parallel and perpendicular lines. (I)
7. Compute the composition and inverses of functions. (I)
8. Utilize the remainder and factor theorem. (II)
9. State the fundamental theorem of algebra. (II)
10. Utilize Descartes' rule of signs. (II)
11. Find or approximate zeros of a polynomial. (II)
12. Decompose a reduced proper fraction into the sum of partial fractions.(II)
13. Solve equations involving logarithms and exponents. (III)
14. Solve a system of linear equations in two and three variables, using eliminations and matrix methods. (IV)
15. Solve nonlinear systems of equations and inequalities. (IV)
16. Graph the solution to a system of linear inequalities. (IV)
17. Compute determinants of square matrices and inverses of non-singular matrices. (V)
18. Explain the difference between sequences and series. (VI)
19. State and use the principle of mathematical induction. (VI)
20. Find the sum of the terms of a finite arithmetic or infinite geometric sequence. (VI)
21. Use the binomial formula. (VI)
22. State and use the fundamental principle of counting. (VII)
23. Distinguish and evaluate combinations and permutations. (VII)
24. Define sample spaces and events for an experiment. (VII)
25. Assign probabilities to events in a finite sample space. (VII)
26. Distinguish between empirical and theoretical probabilities. (VII)
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MCCCD Official Course Outline:
MAT151   19992-20015 College Algebra/Functions
    I. Graphs of relations and functions
        A. Relations and functions
        B. Graphing functions
      II. Theory of equations
          A. Synthetic division
          B. Remainder and factor theorems
          C. Fundamental theorem of algebra
          D. Isolating real zero
          E. Finding rational zeros
        III. Exponential and logarithmic functions
            A. Exponential functions
            B. Logarithmic functions
            C. Properties of logarithmic functions
            D. Logarithms to various bases
            E. Exponential and logarithmic equations
          IV. Systems of equations and inequalities
              A. Systems and augmented matrices
              B. Gauss Jordan elimination
              C. Systems involving second degree equations
              D. Systems of linear inequalities
            V. Matrices and determinants
                A. Matrix operations
                B. Inverse of a square matrix
                C. Matrix equations
                D. Determinant function
              VI. Sequences and series
                  A. Definition and example of sequences and series
                  B. Arithmetic sequences and series
                  C. Geometric sequences and series
                  D. Mathematical induction
                  E. Binomial formula
                VII. Probability
                    A. Fundamental principle of counting
                    B. Permutations, combinations, set partitioning
                    C. Sample spaces and probability functions
                    D. Empirical probability
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