Maricopa Community Colleges  MAT215   19886-19945 
Official Course Description: MCCCD Approval: 02/22/94
MAT215 19886-19945 LEC 3 Credit(s) 3 Period(s)
Technical Calculus I
Emphasis on elementary topics in calculus with applications from electrical and mechanical technologies. Intended for students enrolled in a technology program. Prerequisites: MAT 125 with a grade of "C" or better, or equivalent, or satisfactory score on placement exam.
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MCCCD Official Course Competencies:
 
MAT215   19886-19945 Technical Calculus I
1. Identify and graph various equations. (I)
2. Evaluate limits. (II)
3. Define the derivative. (II)
4. Use the formulas for differentiation. (II)
5. Use the derivative to solve problems related to technology. (II)
6. Perform indefinite integration. (III)
7. Evaluate the definite integral. (III)
8. Use the definite integral to solve problems related to technology. (III)
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MCCCD Official Course Outline:
 
MAT215   19886-19945 Technical Calculus I
    I. Analytic geometry
        A. The graph of an equation
        B. Conic sections
          1. Parabola
          2. Ellipse
          3. Hyperbola
        C. Translation of axes
      II. The derivative
          A. Limits
          B. Slope of a tangent to a curve
          C. Definition of the derivative
          D. Techniques of differentiation
            1. Product rule
            2. Quotient rule
            3. Power rule
            4. Chain rule
          E. Implicit differentiation
          F. Applications of the derivative
            1. Tangents
            2. Related rates
            3. Curve sketching
            4. Maximum/minimum problems
        III. Integration
            A. Anti-derivative
            B. Area under a curve
            C. The definite integral: fundamental theorem
            D. Applications
              1. Volumes
              2. Centroids
              3. Moments of inertia
              4. Work
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