Departmental Outline for MATH 2215
Multivariate Calculus
Description: Real-valued functions of several variables, limits, continuity, differentials, directional derivatives, partial derivatives, chain rule, multiple integrals, applications.
Prerequisite: MATH 2212 Calculus of One Variable II or equivalent.
Calculator: Students may have a scientific calculator. It is up to each instructor as to how much the students can use a calculator on tests.
Texts: (Required) Calculus: One and Several Variables, 9 th Edition by Salas & Hille & Etgen, Wiley, 2003, ISBN 0-471-23120-7.
Syllabus
Chapter 12
Sections 12.1 - 12.7
Vectors
Chapter 13
Sections 13.1 - 13.5
Vector Calculus
Chapter 14
Sections 14.1 - 14.6
Functions of Several Variables
Chapter 15
Sections 15.1 - 15.9
Gradients and Extremes
Chapter 16
Sections16.1 - 16.10
Double & Triple Integrals
Chapter 17
Sections 17.1 - 17.2
Line Integrals