Maricopa Community Colleges  ELE105   19886-20035 
Official Course Description: MCCCD Approval: 03/10/87
ELE105 19886-20035 LEC 5 Credit(s) 5 Period(s)
Algebra-Trigonometry for Technology
Topics from college algebra and trigonometry essential to the study of electronics; polynomials, exponential and logarithmic functions, complex numbers, and trigonometric functions and identities. Prerequisites: A grade of "C" or better in either ELE101 or equivalent, or satisfactory score on a math placement test.
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MCCCD Official Course Competencies:
 
ELE105   19886-20035 Algebra-Trigonometry for Technology
1. Solve linear systems of equations. (I)
2. Evaluate determinants of the second and third order. (I)
3. Solve quadratic equations. (II)
4. Identify and graph exponential and logarithmic functions. (III,IV)
5. Apply the properties of the logarithmic and exponential functions to solve problems. (V)
6. Define and graph trigonometric functions. (VI,VII)
7. Use inverse trigonometric functions to solve problems. (VI, VII)
8. Perform basic operations with complex numbers and apply them to solve problems. (VIII,IX)
9. Identify and verify trigonometric identities. (X)
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MCCCD Official Course Outline:
 
ELE105   19886-20035 Algebra-Trigonometry for Technology
    I. Solving Systems of Linear Equations
        A. Graphical method
        B. Addition or subtraction method
        C. Substitution method
        D. Determinants of the second order
        E. Determinants of the third order
      II. Solving Quadratic Equations
          A. Incomplete quadratics
          B. Complete quadratics
          C. The quadratic formula
          D. Graphing quadratic functions
        III. Exponents, Radicals, and Equations
            A. Laws of exponents
            B. Negative exponents
            C. Fractional exponents
            D. Simplifying radicals
            E. Radical equations
          IV. Logarithmic and Exponential Functions
              A. Common logarithms
              B. Scientific notation
              C. Antilogarithms
              D. Powers and quotients
              E. Natural logarithms
              F. Further properties of logarithms
              G. Semi-log and log-log plots
            V. Applications of Logarithmic and Exponential Equations
                A. The decimel
                B. System calculations
                C. RC and RL transient behavior
              VI. Angles and Triangles
                  A. Points, Lines, and angles
                  B. Special angles
                  C. Triangles
                  D. Right triangles and the Pythagorean theorem
                  E. Trigonometric functions
                  F. Trigonometric function applications
                  G. Inverse trigonometric functions
                VII. Circular functions
                    A. Angles of any magnitude
                    B. Circular functions
                    C. Graphs of circular functions
                    D. Law of sines and law of cosines
                    E. Polar coordinates
                  VIII. Vectors and Phasors
                      A. Scalars and vectors
                      B. The complex plane
                      C. Real and imaginary numbers
                      D. Complex numbers
                      E. Phasors
                      F. Resolving systems of phasors and vectors
                    IX. Mathematics of Phasors
                        A. Addition and subtraction
                        B. Multiplication and division
                        C. Powers and roots
                      X. Additional Trigonometric Functions
                          A. Auxilary trigonometric functions
                          B. Trigonometric identities
                          C. Graphs of the auxiliary trigonometric functions
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