Maricopa Community Colleges  MAT216   19886-19945 
Official Course Description: MCCCD Approval: 02/22/94
MAT216 19886-19945 LEC 3 Credit(s) 3 Period(s)
Technical Calculus II
Includes derivatives of trigonometric, logarithmic and exponential functions. Methods of integration, partial derivatives and double integrals. Polar coordinates. Prerequisites: MAT 215 with a grade of "C" or better.
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MCCCD Official Course Competencies:
 
MAT216   19886-19945 Technical Calculus II
1. Differentiate the trigonometric and inverse trigonometric functions and apply them to solve problems related to technology. (I)
2. Differentiate the exponential and logarithmic functions and apply them to solve problems related to technology. (II)
3. Perform integration by various methods, including the use of tables. (III)
4. Find partial derivatives. (IV)
5. Perform double integration. (IV)
6. Graph polar equations and apply them to solve problems related to technology. (V)
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MCCCD Official Course Outline:
 
MAT216   19886-19945 Technical Calculus II
    I. Trigonometric and inverse trigonometric functions
        A. Derivatives of trigonometric functions
        B. Derivatives of inverse trigonometric functions
        C. Applications
      II. Exponential and logarithmic functions
          A. Derivatives of exponential functions
          B. Derivatives of logarithmic functions
          C. Applications
        III. Integration methods
            A. The general power formula
            B. Logarithmic and exponential forms
            C. Trigonometric forms
            D. Integration by parts
            E. Trigonometric substitutions
            F. Use of tables
          IV. Partial derivatives and double integrals
              A. Definitions
                1. Curves in three dimensions
                2. Surfaces in three dimensions
              B. Applications
                1. Centroids
                2. Moments of inertia
            V. Polar coordinates
                A. Graphs
                B. Applications
                  1. Differentiation in polar coordinates
                  2. Integration in polar coordinates
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