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Master
Course Outline
MATH& 153
Calculus III
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| Credits: 5 |
Clock Hours per Quarter: 50
AA Discipline: [Quantitative] [Natural Sciences]
Lecture Hours:50
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Description
Continuance of MATH& 152, topics include differential equations, infinite sequences and series, parametric curves, vectors, and surfaces. Prerequisite: Grade of C- or higher in MATH& 152 or permission of Mathematics Department. Formerly MATH 126, Calculus with Analytic Geometry III. |
Intended Learning Outcomes
Optional (to be included in either MATH 125 or 126 but not both): Successfully solve first-order differential equations graphically (slope fields), numerically (Euler's method), analytically (separation of variables), all in the context of substantial applications.
Determine convergence (divergence) of infinite sequences and series using the Nth term test, integral test, P-series test, comparison and limit comparison tests, absolute comparison test, ratio and root tests.
Develop an understanding of power series and their applications.
a. Radius and interval of convergence.
b. Termwise differentiation and integration.
c. Approximating values of functions and integrals.
d. Binomial series.
Develop an understanding of R3.
Plot and analyze both functions and parametric surfaces in R3 using appropriate technological tools.
Graph and analyze both two and three-dimensional parametric curves using appropriate technological tools.
Perform integral computations with parametric curves.
Successfully graph and analyze two and three-dimensional vector-valued functions in the context of motion of a point in the plane or space using appropriate technological tools.
Technological skills integrated into the course include, but are not limited to, the following:
evaluation antiderivatives graphically using computer or calculator programs involving slope fields, plotting parametric equations in the plane and in space, plotting polar equations in the plane, plotting surfaces described by either functions of x and y or parametric equations.
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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& 153 |
Spring 2011 |
1494 |
Julianne Sachs |
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| MATH& 153 |
Spring 2010 |
1490 |
Eric Schulz |
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Two Year Projected Schedule
| Year
One* |
Year
Two** |
Fall |
Winter |
Spring |
Summer |
Mini |
Fall |
Winter |
Spring |
Summer |
Mini |
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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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