Maricopa Community Colleges  ELE201   19886-20086 
Official Course Description: MCCCD Approval: 07/22/08
ELE201 19886-20086 LEC 3 Credit(s) 3 Period(s)
Technical Calculus I
Concepts of rates of change and limits; derivatives and integrals of polynomials with appropriate applications.
Prerequisites: A grade of C or better in ELE105 or equivalent.
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MCCCD Official Course Competencies:
 
ELE201   19886-20086 Technical Calculus I
1. Identify and graph various equations. (I)
2. Define the concept of an average rate. (II)
3. Evaluate limits. (III)
4. Define the derivative. (IV)
5. Use formulas for differentiation. (V)
6. Use the derivative in applications. (VI, VIII)
7. Define the differential. (VII)
8. Perform indefinite integration. (IX)
9. Evaluate the definite integral. (X)
10. Use the definite integral in applications. (X)
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MCCCD Official Course Outline:
 
ELE201   19886-20086 Technical Calculus I
    I. Functions and Graphs
        A. Independent and dependent variables
        B. Functional notation
        C. Explicit and implicit functions
        D. Graphs of equations
      II. Average rates
          A. The concept of an increment
          B. The concept of a rate
          C. The positive, negative, and zero average rates
          D. Graphical treatment of average rates
        III. Limits
            A. Limits of a function
            B. Left-hand and right-hand limits
            C. The tangent line
            D. Functions without limits
            E. Continuous and discontinuous functions
          IV. Exact Rates
              A. Instantaneous events
              B. The derivative of a function
              C. Graphical treatment of derivatives
            V. Derivatives
                A. The symbols of derivatives and differentiation
                B. Derivative of a constant
                C. Derivative of a linear function
                D. Derivative of a power function
                E. Derivative of a sum
                F. The chain rule
                G. The derivative of a product and a quotient
              VI. Derivatives Applied
                  A. Instantaneous current in a capacitor
                  B. Instantaneous power
                  C. Instantaneous induced voltage
                  D. Mutual inductance
                VII. Differentials
                    A. The concept of a differential
                    B. Applications of differentials
                    C. Approximate increments
                    D. Differential notation
                  VIII. Maxima and Minima
                      A. Ordinary maxima and minima
                      B. Locating maxima and minima
                      C. The second-derivative test
                      D. Applications
                    IX. Integrals
                        A. The concept of an integral
                        B. The integral of a power function
                        C. The integral of a sum
                        D. The constant of integration
                        E. Integration terms and symbols
                      X. Definite Integral's
                          A. The definite integral
                          B. Area under a curve
                          C. The fundamental theorem of integration
                          D. Graphical integration
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