Maricopa Community Colleges  MAT221   19996-20066 
Official Course Description: MCCCD Approval: 04/27/99
MAT221 19996-20066 LEC 4 Credit(s) 4 Period(s)
Calculus with Analytic Geometry I
Real numbers, limits, continuity, differential and integral calculus of functions of one variable. May receive credit for only one of the following: MAT220 or MAT221. Prerequisites: Grade of "C" or better in (MAT150 or MAT151 or MAT152) and (MAT182 or MAT187 or equivalent), or satisfactory score on district placement exam.
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MCCCD Official Course Competencies:
 
MAT221   19996-20066 Calculus with Analytic Geometry I
1. Identify and graph various functions. (I)
2. Define and evaluate limits. (II)
3. Define and identify continuity. (II)
4. Apply limits to graphing techniques. (II)
5. Define the derivative. (III)
6. Use the formulas for differentiation. (III)
7. Application of the derivative. (III)
8. Evaluate the definite integral. (IV)
9. Use of the definite integral in applications. (IV)
10. Perform indefinite integration. (IV)
11. Define and apply the natural logarithmic function. (IV)
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MCCCD Official Course Outline:
 
MAT221   19996-20066 Calculus with Analytic Geometry I
    I. Function
        A. Definition
        B. Linear and Quadratic Functions
        C. Graphing Functions
      II. Limits and Continuity
          A. Definitions
          B. One-Sided Limits
          C. Infinite Limits
          D. Limits at Infinity
        III. The Derivative
            A. Definition
            B. Techniques of Differentiation
            C. Extremea of a Function
            D. First and Second Derivative Test
            E. Application of the Derivative
              1. Slope of the Tangent Line
              2. Maxi/Mini Problems
              3. Related Rates
              4. Differentials
              5. L'Hospitals' Rule
              6. Newtons' Method
          IV. The Integral
              A. Evaluate the Definite Integral
              B. Area
              C. Properties of the Definite Integral
              D. Fundamental Theorem of Calculus
              E. Indefinite Integral
              F. Natural Logarithmic Function
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