Linear Algebra
General
Prefix
MATH
Course Number
312
Course Level
Undergraduate
Department/Unit(s)
College/School
College of Science and Engineering
Description
Matrices, matrix operations, systems of linear equations, determinants, geometry of R-n, vector spaces, subspaces, linear transformations, inner products, eigenvalues.
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
Identify Euclidean spaces and subspaces and other vector spaces.
Outcome
Identify spans and spanning sets.
Outcome
Distinguish between linearly dependent and linearly independent sets of vectors.
Outcome
Identify bases and dimensions of vector spaces.
Outcome
Calculate characteristic polynomials, eigenvalues and eigenvectors, and diagonalize matrices.
Outcome
Identify and calculate with orthogonal vectors, orthogonal bases, and orthonormal bases.
Outcome
Orthogonally diagonalize symmetric matrices.
Dependencies
Courses
MATH312
is a
completion requirement
for:
MATH312
is a
prerequisite
for:
Programs
MATH312
is a
completion requirement
for: