Course alpha,
number, title
MTH 234 Multivariable Calculus
Required or elective
Required
Course (catalog)
description
Vectors in space. Functions of several variables and partial differentiation. Multiple
integrals. Line and surface integrals. Green's and Stokes's theorems.
Prerequisite(s)
MTH 133 or MTH 153H or LBS 119
Textbook(s)
and/or other
required material
Calculus-Alternate Edition by Thomas
Class/Lab schedule:
4 credit hours (3 lectures per week and 1 recitation)
Topics covered
1.Vectors and their properties
2.Equations of lines and planes
3. Arc Length of curves in space
4. Functions of several variables and their limits
5. Partial derivatives
6. Extrema of functions of 2 or 3 variables
7. Lagrange multipliers
8. Double and triple integrals and their applications
9.Integrals in polar form and in cylindrical and spherical coordinates
10. line and surface intefrals
11. Conservative fields and potential functions
12. Green’s Theorem, Stokes’ Theorem and the Divergence Theorem
Course learning
objectives
For the student to be able to:
1. Work with functions of several variables
2. Use partial derivatives and multiple integrals in applications
3. Use line integrals and surface integrals in applications
4. Understand Green’s Theorem, Stokes’ Theorem and the Divergence Theorem
Relationship of
course to XXX
program
outcomes
The following measurement standard is used to evaluate the relationship between the course
outcomes and the educational-program outcomes:
3 = Strong Emphasis, 2 = Some Emphasis, 1 = Little or No Emphasis.
(a) an ability to apply knowledge of mathematics, science, and engineering—3
(b) an ability to design and conduct experiments, as well as to analyze and interpret data—1
(c) an ability to design a system, component, or process to meet desired needs—1
(d) an ability to function on multi-disciplinary teams—1
(e) an ability to identify, formulate, and solve engineering problems—1
(f) an understanding of professional and ethical responsibility—1
(g) an ability to communicate effectively—1
(h) the broad education necessary to understand the impact of engineering solutions in a
global/societal context—1
(i) a recognition of the need for and the ability to engage in life-long learning—1
(j) a knowledge of contemporary issues—1
(k) an ability to use the techniques, skills, and modern engineering tools necessary for
engineering practice—1
(l) design, build, and test in mechanical systems area—1
(m) design, build, and test in thermal/fluids area—1
(n) application of advanced mathematics—3
(o) capstone design experience—1
Contribution to
professional
component:
100% Mathematics and Basic Science
Person(s) who
prepared this
description
Gerald Ludden
Date of
Preparation
January 23, 2004