Calculus III

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Not offered after Summer 2015

Being replaced by MATH 2551. Multivariable calculus: Linear approximation and Taylor's theorems, Lagrange multiples and constrained optimization, multiple integration and vector analysis including the theorems of Green, Gauss and Stokes.

Course Text: 

At the level of Thomas' Calculus, Early Transcendentals, by Thomas, Weir and Haas (Twelfth Edition); Addison Wesley, Inc., 2009

Topic Outline: 
Topic Text Sections Lectures
Vectors and Geometry of Space 12.2-12.6  3
Vector Valued Functions, Vector Calculus, Tangents, Arclength, Motion in Space 13.1-13.6 8
Functions of several variables, Partial Derivatives, Gradients, Extreme Values, Lagrange Multipliers, Taylor's theorem in several variables 14.1-14.10  12
Double and triple integrals 15.1-15.8 10
Vector analysis -- line integrals, surface integrals, and the theorems of Green, Gauss, and Stokes 16.1-16.8 10