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2343Syllabus - Math 2343 Calculus IV Instructor Dr Thomas...

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Math 2343 - Calculus IV Fall 2011 Instructor: Dr. Thomas Milligan Email: [email protected] Office Hours: MWF 10 - 11 am, Office: MCS 140 TTh 10:45-11:30 am and by appointment Phone: 974-5262 Text: Calculus (7th Edition), by Anton, Bivens and Davis. We will cover chapters 14-16. Prerequisites: Math 2333 - Calculus III or equivalent. Course Objectives: 1. Introduce and explore the theory and applications of partial derivatives. 2. Investigate the theory of multiple integration and some important applications. 3. Explore the properties and applications of line integrals and surface integrals. Course Outline: 1. Partial Derivatives: functions, limits, partial derivatives, chain rule, directional deriva- tives, extrema and Lagrange multipliers 2. Multiple integrals: double and triple integrals using rectangular, polar, cylindrical and spherical coordinates; Jacobian 3. Vector calculus: vector fields, line integrals, Green’s theorem, surface integrals, flux, Divergence and Stokes’ Theorems Homework and Quizzes: Homework will be assigned according to the accompanying schedule.
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