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Official Course
Description: MCCCD Approval:
11-24-09 |
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MAT212 2010 Spring - 9999 |
LEC 3.0 Credit(s) 3.0 Period(s) 3.0 Load Acad |
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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 appropriate Math
placement test score. Course Notes: Students may receive
credit for only one of the following: MAT212 or MAT213. Course
Attribute(s): General
Education Designation: Mathematics - [MA] |
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Go to Competencies Go to Outline
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MCCCD
Official Course Competencies: |
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MAT212 2010
Spring - 9999 |
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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MAT212 2010
Spring - 9999 |
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 related to
business, life, and the social sciences |
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