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Official Course
Description: MCCCD Approval: 12-13-05 |
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MAT213
2006 Fall – 2009 Fall |
LEC |
4.0 Credit(s) |
4.0 Period(s) |
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Brief
Calculus |
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Introduction
to the theory, techniques, and applications of the differential and integral
calculus of 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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Go to Competencies Go to Outline
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MCCCD
Official Course Competencies: |
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MAT213 2006
Fall – 2009 Fall |
Brief Calculus |
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1.
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Find derivatives of functions using both the definition
and theorems. (I) |
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2.
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Use the derivative to solve and analyze application
problems related to business, life, and the social sciences. (II) |
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3.
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Use technology to model, solve, and analyze problems
related to real-world applications. (II, IV) |
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4.
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Find the integral of functions using theorems. (III) |
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5.
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Use the integral to solve and analyze application problems
related to business, life, and the social sciences. (IV) |
Go to Description Go to top of
Competencies
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MCCCD
Official Course Outline: |
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MAT213 2006
Fall – 2009 Fall |
Brief Calculus |
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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 4. Implicit 5. Related rates 6. Higher order 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 and integration by parts B. Definite integrals and
the fundamental theorem of calculus C. Improper integrals IV. Applications of
Integration A. Area under a curve B. Area between two curves C. Applications to
business, life, and the social sciences |
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