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Official Course
Description: MCCCD Approval: 3-28-2006 |
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MAT216 1996
Fall - 2006 Summer I |
LEC 3.0 Credit(s) 3.0 Period(s) 3.0 Load Acad |
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Technical Calculus I |
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Analytic geometry, differential, and integral calculus of elementary functions, emphasizing physical interpretation and problem solving. Prerequisites: Grade of "C" or better in MAT187, or (MAT150, or MAT151, or MAT152) and MAT182, or equivalent, or satisfactory score on District placement exam. 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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MAT216 1996 Fall - 2006 Summer I |
Technical Calculus I |
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1. |
Identify and graph various equations. (I) |
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2. |
Evaluate limits. (II) |
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Define the derivative. (II) |
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Use the techniques for differentiation. (II) |
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Use the derivative to solve problems related to technological applications. (II) |
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6. |
Perform indefinite integration. (III) |
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Evaluate the definite integral. (III) |
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8. |
Use the definite integral to solve problems related to technological applications. (III) |
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Go to Description Go to top of
Competencies
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MCCCD Official Course Outline: |
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MAT216 1996 Fall - 2006 Summer I |
Technical Calculus I |
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I. Analytic Geometry A. The graph of an equation B. Conic sections 1. Parabola 2. Ellipse 3. Hyperbola C. Translation of axes II. The Derivative A. Limits B. Slope of a tangent to a curve C. Definition of the derivative D. Techniques of differentiation 1. Product rule 2. Quotient rule 3. Power rule 4. Chain rule E. Implicit differentiation F. Applications of the derivative 1. Tangents 2. Related rates 3. Curve sketching 4. Maximum/minimum problems III. Integration A. Anti-derivative B. Area under a curve C. The definite integral: fundamental theorem D. Applications 1. Volumes 2. Centroids 3. Moments of inertia 4. Work |