Differential Equations with Linear Algebra

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General

Prefix

MATH

Course Number

327

Course ID

00156876

Course Level

Undergraduate

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

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: