Maricopa Community Colleges  MAT150   19992-20015 
Official Course Description:   MCCCD Approval:  12/08/98
MAT150      19992-20015 LEC 5 Credit(s) 5 Period(s)
College Algebra Concepts
A combination of college algebra and a review of topics prerequisite to college algebra. Study of algebraic equations and inequalities, polynomial, rational, exponential, and logarithmic functions, conics, systems of equations and inequalities, matrices and determinants, mathematical induction, sequences and series, and combinatorics. 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:
MAT150   19992-20015 College Algebra Concepts
1. Solve single variable equations, including linear, absolute value, quadratic, quadratic type, rational, polynomial, radical, exponential, and logrithmetic. (I)
2. Solve quadratic equations by using the following methods: factoring, completing the square, the quadratic formula, and graphing. (I)
3. Solve the following types of single variable inequalities: linear, absolute value, quadratic, and rational. (I)
4. Express the solutions of inequalities using algebraic symbols, a graph, and interval notation. (I)
5. Solve systems of linear and non-linear equations by: graphing, elimination, substitution, Cramer's Rule (optional) and matrices. (I)
6. State domain and range of relations. (II)
7. Determine if a relation is a function. (II)
8. Identify types of functions centered at the origin. (II)
9. Identify types of functions that have been translated. (II)
10. State the composition of two functions and state its domain. (II)
11. Determine whether a function is 1 to 1 and state its domain. (II)
12. Find the inverse of a 1 to 1 function. Graph the inverse. (II)
13. Find the axis of symmetry, vertex and intercepts of a quadratic relation, then draw the graph. (II)
14. Find the irreducible factors and zeros of a polynomial function, then draw the graph. (II)
15. Find the intercepts, asymtotes and additional points of rational functions, then graph. (II)
16. Identify the types of conic section from its equation and graph. (II)
17. Use translations to graph conic sections. (II)
18. Decompose a reduced proper and improper fraction into the sum of partial fractions. (III)
19. Plot the graph of common and natural logarithmic functions. (IV)
20. Find the domain, range, and inverse of logarithmic functions. (IV)
21. Use the properties of logarithms. (IV)
22. Perform the operations of matrices. (V)
23. Evaluate the determinant of a matrix using cofactors and row column operations. (V)
24. Use the principle of mathematical induction. (VI)
25. Find the nth terms of arithmetic, geometric and infinite geometric sequences. (VI)
26. Find the first n terms of arithmetic, geometric and infinite geometric sequences. (VI)
27. Use the binomial formula to expand (a+b)n. (VI)
28. Use combinations and permutations to count. (VI)
29. Solve a variety of application problems. (VII)
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MCCCD Official Course Outline:
MAT150   19992-20015 College Algebra Concepts
    I. Algebraic Equations - Inequalities
        A. Single variable
        B. Quadratic
        C. Expressing
        D. Systems of equations and inequalities
      II. Relations, Functions
          A. Identifying functions
          B. Composition
          C. 1 to 1 functions
          D. Identifying conic sections
          E. Graphing relations and functions
        III. Partial Fractions
            A. Decompose fractions
          IV. Logarithmic - Exponential Functions
              A. Graph
              B. Domain, Range
              C. Inverse
              D. Properties
            V. Matrices
                A. Operations
                B. Evaluate determinant
              VI. Sequence, Series, Counting
                  A. Mathematical induction
                  B. Arithmetic - Geometric sequence and series
                  C. Binomial expansion
                  D. Permutations - Combinations
                VII. Application Problems
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