Vector and Multivariable Calculus
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General
Prefix
MATH
Course Number
321
Course Level
Undergraduate
Department/Unit(s)
College/School
College of Science and Engineering
Description
Vectors, functions of several variables, gradients, multiple integrals, vector fields, Green's & Stokes' theorems, applications.
Prerequisites
Credits
Min
4
Max
4
Goals and Diversity
Learning Outcomes
Outcome
Analyze functions of several variables and interpret their properties in various contexts.
Outcome
Perform vector operations and recognize their applications.
Outcome
Describe and visualize 3D lines, curves, planes, and fundamental surfaces and analyze geometrical properties of each.
Outcome
Determine extrema of functions of several variables.
Outcome
Depict and interpret vector fields and compute curl, divergence, and flux.
Outcome
Model a written description of a physical situation graphically, numerically, analytically, or verbally using vectors, curves, surfaces, derivatives, and integrals in rectangular, polar, cylindrical, and spherical coordinate systems in R^2 and R^3.
Outcome
State the Fundamental Theorem of Line Integrals, Green's Theorem, Stoke's Theorem, and the Divergence Theorem in their own words.
Outcome
Compare and contrast several generalizations of the Fundamental Theorem of Calculus.
Outcome
Illustrate multivariable concepts by hand and with appropriate technology.
Outcome
Use technology to help solve problems and illustrate solutions.
Outcome
Communicate concepts both orally and in well-written sentences and explain solutions to problems.
Dependencies
Courses
MATH321
is a
prerequisite
for:
Programs
MATH321
is a
completion requirement
for: