Calculus III

Department: 
MATH
Course Number: 
2401
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
2
Hours - Total Credit: 
4
Typical Scheduling: 
Not offered after Summer 2015
Description: 
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

Flow chart describing textbook choices for fall 2014.

Topic Outline: 
TopicText SectionsLectures
Vectors and Geometry of Space12.2-12.6 3
Vector Valued Functions, Vector Calculus,
Tangents, Arclength, Motion in Space
13.1-13.68
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 integrals15.1-15.810
Vector analysis -- line integrals,
surface integrals, and the theorems of
Green, Gauss, and Stokes
16.1-16.8 10