Maricopa Community Colleges  MAT125   19886-19945 
Official Course Description: MCCCD Approval: 02/22/94
MAT125 19886-19945 LEC 5 Credit(s) 5 Period(s)
Algebra/Trigonometry for Technology
Topics in algebra and trigonometry for students enrolled in a technology program. Includes functions, complex numbers, systems of equations, polynomials, trigonometry, sequences and series. Prerequisites: MAT 077, or higher level algebra with a grade of "C" or better, or satisfactory score on a math placement exam, and either MAT 088 or credit in high school geometry.
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MCCCD Official Course Competencies:
 
MAT125   19886-19945 Algebra/Trigonometry for Technology
1. Identify, graph, and find the inverse of a function. (I)
2. Perform basic operations with complex numbers and apply them to solve problems related to technology. (II)
3. Solve linear systems of equations related to technology. (III)
4. Perform matrix operations, including finding the inverse. (III)
5. Evaluate determinants. (III)
6. Solve polynomial equations. (IV)
7. Identify and graph exponential and logarithmic functions. (V)
8. Apply the properties of the logarithmic and exponential functions to solve problems related to technology. (V)
9. Define and graph trigonometric functions. (VI)
10. Identify and verify trigonometric identities. (VI)
11. Use inverse trigonometric functions to solve problems related to technology. (VI)
12. Identify arithmetic and geometric sequences. (VII)
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MCCCD Official Course Outline:
 
MAT125   19886-19945 Algebra/Trigonometry for Technology
    I. Algebraic functions
        A. Definition
          1. Domain
          2. Range
        B. Graphs
          1. Asymptotes
          2. Inercepts
        C. Inverse functions
      II. Complex numbers
          A. Definitions
          B. Operations with complex numbers
          C. Polar form
          D. Applications: alternating current
        III. Systems of equations and matrices
            A. Solving linear systems
              1. Elimination method
              2. Substitution method
            B. Matrix operations
              1. Cofactor and minor
              2. Multiplication
            C. Inverse matrices: applications
            D. Determinants
              1. Cramer's rule
              2. Properties
          IV. Polynomial equations
              A. Solving quadratic equations
                1. Factoring
                2. Quadratic formula
              B. Synthetic division
              C. Theory of equations
                1. Rational roots theorem
                2. Remainder and factor theorem
              D. Applications
            V. Exponential and logarithmic functions
                A. Definitions
                B. Properties
                C. Exponential equations
                  1. Solving
                  2. Applications
                D. Graphs
              VI. Trigonometry
                  A. Radian measure
                  B. Definition of trigonometric functions
                  C. Right triangle applications
                    1. Industrial problems
                    2. Engineering problems
                  D. Graphs
                    1. Period
                    2. Amplitude
                  E. Laws of sines and cosines: problem solving
                  F. Sinusoids
                  G. Identities
                  H. Inverse trigonometric functions
                    1. Domains
                    2. Graphs
                VII. Sequences and series
                    A. Arithmetic
                    B. Geometric
                    C. Infinite series
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