Math 285.002 - Fall 2000

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General Course Information

Course Name: Honors Calculus III
Prerequisites: Math 156, 176 or 186 or permission; credit can be earned for only one of Math 215, 255, 285.
Credit: 4 credits. Credit is granted for only one course among Math 215, 255, and 285.
Required Text: Calculus by Stewart, fourth edition, Brooks/Cole, 1999.
Background and Goals: The sequence Math 185-186-285-286 is the honors introduction to calculus. It is taken by students intending to major in mathematics, science, or engineering as well as students heading for many other fields who want a somewhat more theoretical approach. Although much attention is paid to concepts and solving problems, the underlying theory and proofs of important results are also included. This sequence is not restricted to students enrolled in the LS&A Honors Program.
Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation, maximum-minimum problems; line, surface, and volume integrals and applications; vector fields and integration; curl, divergence, and gradient; Green's Theorem and Stokes's Theorem. Additional topics may be added at the discretion of the instructor.
Alternatives: Math 215 (Calculus III) is a somewhat less theoretical course which covers much of the same material.
Subsequent Courses: Math 216 (Introduction To Differential Equations), Math 286 (Honors Differential Equations) or Math 217 (Linear Algebra).

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Bob Megginson, University of Michigan, Department of Mathematics.
Copyright 2000 University of Michigan Department of Mathematics. All rights reserved.
Revised: September 19, 2000