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Calculus with Analytic Geometry I
Course: MAT220

First Term: 2022 Fall
Lecture   5.0 Credit(s)   5.0 Period(s)   5.0 Load  
Subject Type: Academic
Load Formula: S - Standard Load

Description: Limits, continuity, differential and integral calculus of functions of one variable.

MCCCD Official Course Competencies
1. Analyze the behavior and continuity of functions using limits. (I)
2. State the definition and explain the significance of the derivative. (II)
3. Compute the derivative using the definition and associated formulas for differentiation. (II)
4. Solve application problems using differentiation. (II)
5. State and explain the significance of the Fundamental Theorem of Calculus. (III)
6. Compute anti-derivatives, indefinite and definite integrals of elementary functions. (III)
7. Read and interpret quantitative information when presented numerically, analytically or graphically. (I, II, III)
8. Compare alternate solution strategies, including technology. (I, II, III)
9. Justify and interpret solutions to application problems. (I, II, III)
10. Communicate process and results in written and verbal formats. (I, II, III)
MCCCD Official Course Outline
I. Limits and Continuity
   A. Definitions
   B. Computations with limits
      1. Algebraic
      2. Numerical
      3. Graphical
   C. Infinite limits
   D. Limits at infinity
II. The Derivative
   A. Definition
   B. Techniques of differentiation
   C. Extrema of a function
   D. First and second derivative test
   E. Applications of the derivative
III. The Integral
   A. Anti-derivatives and the indefinite integral
   B. Evaluate the definite integral
   C. Properties of the definite integral
   D. Fundamental theorem of calculus
   E. Elementary applications of the integral
MCCCD Governing Board Approval Date: March 22, 2022

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.