Multivariable Calculus

Department: 
MATH
Course Number: 
2551
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
2
Hours - Total Credit: 
4
Typical Scheduling: 
Every Semester

Linear approximation and Taylor’s theorems, Lagrange multiples and constrained optimization, multiple integration and vector analysis including the theorems of Green, Gauss, and Stokes.

Prerequisites: 

MATH 1502 OR MATH 1512 OR MATH 1555 OR MATH 1504 ((MATH 1552 OR MATH 15X2 OR MATH 1X52) AND (MATH 1522 OR MATH 1553 OR MATH 1554 OR MATH 1564 OR MATH 1X53))

Equivalent to MATH 2401.

Course Text: 

Thomas, Calculus: Early Transcendentals, (14th ed.)

Flow chart describing textbook choices for Fall 2019.

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