|
Official Course
Description: MCCCD Approval: 6-27-06 |
|||
|
MAT221 2007
Spring – 2009 Fall |
LEC |
4.0 Credit(s) |
4.0 Period(s) |
|
Calculus with Analytic Geometry I |
|||
|
Limits, continuity, differential and integral calculus of functions of one variable. 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. |
|||
|
|
|||
|
Course Note: Student may receive credit for only one of the following: MAT220 or MAT221. |
|||
Go to Competencies Go to Outline
|
MCCCD Official Course Competencies: |
|
|
|
|
|
MAT221 2007 Spring – 2009 Fall |
Calculus with Analytic
Geometry I |
|
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) |
|
|
|
Go to Description Go to top of Competencies
|
MCCCD Official Course Outline: |
||
|
|
|
|
|
MAT221 2007 Spring – 2009 Fall |
Calculus with Analytic
Geometry I |
|
|
|
|
|
|
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 |
|
|
Go to Description Go to top of Competencies Go to top of Outline