Differential Equations with Linear Algebra
General
Prefix
MATH
Course Number
327
Course Level
Undergraduate
Department/Unit(s)
College/School
College of Science and Engineering
Description
Matrices and matrix operations, Gaussian elimination, determinants, Euclidean n-space and subspaces, dependence, eigenvalues, eigenvectors, diagonalization. Separable and first-order linear equations, second-order linear equations having constant coefficients, applications, systems of linear ODE's with constant coefficients, nonhomogenous linear systems, Laplace transforms.
Prerequisites
Credits
Min
4
Max
4
Repeatable
No
Goals and Diversity
MN Goal Course
No
Cultural Diversity
No
Learning Outcomes
Outcome
Perform elementary row operations on matrices; determine and analyze solutions of a system of linear equations.
Outcome
Perform matrix arithmetic, calculate determinants, and determine inverses to given matrices.
Outcome
Compute the eigenvalues and eigenvectors of a matrix and diagonalize matrices.
Outcome
Identify Euclidean spaces and subspaces.
Outcome
Distinguish between dependent and linearly independent sets of vectors.
Outcome
Recognize various types of differential equations and execute an appropriate method to arrive at an analytical or approximate solution.
Outcome
Solve systems of linear first-order differential equations.
Outcome
Use Laplace transforms to solve differential equations.
Outcome
Apply appropriate technology to analyze differential equations.
Outcome
Communicate quantitative ideas clearly and accurately.
Dependencies
Courses
MATH327
is a
completion requirement
for:
MATH327
is a
prerequisite
for:
Programs
MATH327
is a
completion requirement
for: