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Master
Course Outline
MATH& 254
Calculus IV
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| Credits: 5 |
Clock Hours per Quarter: 50
AA Discipline: [Quantitative] [Natural Sciences]
Lecture Hours:50
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Description
Introduction to multi-variable calculus. Topics include vector-valued functions, partial derivatives, directional derivatives, multiple integration, vector analysis, line and surface integrals, Green's and Stoke's theorems. Prerequisite: Grade C- or higher in MATH& 153 or permission of the Mathematics Department. Formerly MATH 224, Calculus & Analytical Geometry IV. |
Intended Learning Outcomes
Work with two and three-dimensional vectors algebraically and geometrically: magnitudes, directions, dot products, vector products.
Graph, analyze, and perform calculus operations on two and three-dimensional parametric functionis of a single variable.
Graph, analyze, and perform calculus operations on two and three-dimensional vector-valued functions of a single variable. Understand the connections between vectors representing position, velocity, and acceleration.
Analyze completely, and be able to read, generate, and interpret graphs for functions of two or more variables: surface plots, contour plots, evaluate partial derivatives, find extremums, evaluate directional derivatives, and gradients.
Setup and evaluate multiple integrals over generalized domains of integration described in rectangular, polar coordinates, cylindrical, and spherical coordinates.
Setup, evaluate and interpret line integrals and surfact integrals.
Green's Theorem, the Divergence Theorem, and Stoke's Theorem.
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Syllabi
Listing
See ALL Quarters
| Course |
Year
Quarter
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Item
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Instructor |
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| MATH& 254 |
Fall 2011 |
1477 |
Eric Schulz |
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| MATH& 254 |
Fall 2010 |
1477 |
Julianne Sachs |
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| MATH& 254 |
Fall 2009 |
1477 |
Eric Schulz |
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Two Year Projected Schedule
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One* |
Year
Two** |
Fall |
Winter |
Spring |
Summer |
Mini |
Fall |
Winter |
Spring |
Summer |
Mini |
X
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X
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*If fall quarter starts on an odd year (2003, 2005, etc.), it's Year One.
**If fall quarter starts on an even year (2002, 2004, etc.), it's Year Two.
printable version
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