Maricopa Community Colleges  MAT212   20046-20065 
Official Course Description: MCCCD Approval: 02/24/04
MAT212 20046-20065 LEC 3 Credit(s) 3 Period(s)
Brief Calculus
Introduction to the theory, techniques and applications of the differential and integral calculus of elementary functions with problems related to business, life, and the social sciences. Prerequisites: Grade of "C" or better in MAT150, or MAT151, or MAT152, or MAT187 or equivalent, or satisfactory score on District placement exam.
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MCCCD Official Course Competencies:
 
MAT212   20046-20065 Brief Calculus
1. Find derivatives of functions using both the definition and theorems. (I)
2. Use the derivative to solve and analyze application problems related to business, life, and the social sciences. (II)
3. Use technology to model, solve, and analyze problems related to real-world applications. (II, IV)
4. Find the integral of elementary functions using theorems. (III)
5. Use the integral to solve and analyze application problems related to business, life, and the social sciences. (IV)
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MCCCD Official Course Outline:
 
MAT212   20046-20065 Brief Calculus
    I. Derivatives
        A. Limits
        B. Slope and rate of change
        C. Definition of the derivative
        D. Rules of differentiation
          1. Product
          2. Quotient
          3. Chain rules
      II. Applications of the Derivative
          A. Increasing and decreasing functions
          B. Extrema and first-derivative test
          C. Concavity and second-derivative test
          D. Optimization problems
          E. Applications to business, life, and social sciences, including velocity and marginals
        III. Integration
            A. Antiderivatives and indefinite integrals, including substitution
            B. Definite integrals and the fundamental theorem of calculus
          IV. Applications of Integration
              A. Area under a curve
              B. Area between two curves
              C. Applications related to business, life, and the social sciences
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