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Official Course
Description: MCCCD Approval: 3-28-2006 |
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MAT226 1996
Fall - 2006 Summer I |
LEC 3.0 Credit(s) 3.0 Period(s) 3.0 Load Acad |
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Technical Calculus II |
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Differential, and integral calculus of trigonometric, exponential, and logarithmic functions including partial derivatives, double integrals, and polar coordinates. Prerequisites: Grade of "C" or better in MAT216. 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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MAT226 1996 Fall - 2006 Summer I |
Technical Calculus II |
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1. |
Differentiate the trigonometric and inverse trigonometric functions and apply them to solve problems related to technological applications. (I) |
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Differentiate the exponential and logarithmic functions and apply them to solve problems related to technology. (II) |
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Perform integration by various methods, including the use of tables. (III) |
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Find partial derivatives. (IV) |
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Perform double integration. (IV) |
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Graph polar equations and apply them to solve problems related to technological applications. (V) |
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Go to Description Go to top of
Competencies
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MCCCD Official Course Outline: |
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MAT226 1996 Fall - 2006 Summer I |
Technical Calculus II |
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I. Trigonometric and Inverse Trigonometric Functions A. Derivatives of trigonometric functions B. Derivatives of inverse trigonometric functions C. Applications II. Exponential and Logarithmic Functions A. Derivatives of exponential functions B. Derivatives of logarithmic functions C. Applications III. Integration Methods A. The general power formula B. Logarithmic and exponential forms C. Trigonometric forms D. Integration by parts E. Trigonometric substitutions F. Use of tables IV. Partial Derivatives and Double Integrals A. Definitions 1. Curves in three dimensions 2. Surfaces in three dimensions B. Applications 1. Centroids 2. Moments of inertia V. Polar Coordinates A. Graphs B. Applications 1. Differentiation in polar coordinates 2. Integration in polar coordinates |