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Oct 23, 2026
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MATH 2201 - Introductory Linear Algebra
Credits: 2
Catalog Description
Intended for students in the areas of engineering, sciences, or mathematics who only need an introduction to linear algebra. This course serves these students with both practical applications of mathematics and as a bridge between lower-level mathematics courses and higher-level mathematics courses that are often more theoretical. Topics include matrix operations, systems of linear equations, Gaussian elimination, determinants, matrix inverses, vectors, vector spaces, subspaces, linear independence, linear transformations, matrix transformations, dimension, eigenvalues, eigenvectors, and diagonalization.
Prerequisite(s) (must have a grade of C or better): MATH 1401 with a grade of C or better, or equivalent
Additional fee to student: No
Learner Outcomes
- Apply linear algebra techniques in order to solve a wide variety of problems encountered in the mathematical and engineering areas.
- Perform various matrix operations including addition, subtraction, and multiplication (of matrices and by a scalar).
- Find the inverse of a non-singular matrix.
- Perform Gaussian elimination in order to find the solution set for a given system of linear equations.
- Find the determinant of a given n by n matrix.
- Determine whether a set of vectors is a subspace or just a subset of the vector space of a given vector space.
- Determine whether a set of vectors is linearly independent.
- Find the eigenvalues and the corresponding eigenvectors for a given n by n matrix.
- Diagonalize an n by n matrix with n linearly independent eigenvectors.
- Determine whether a transformation is a linear transformation.
- Use eigenvalues and eigenvectors to understand discrete dynamical systems.
- Student should use technology as appropriate in the above learner outcomes.
Major Areas of Course Content
- Matrix operations
- Systems of linear equations
- Eigenvalues and eigenvectors
- Determinants
- Vectors and vector spaces
- Linear Transformations
Credit for Prior Learning Options
Course-Specific Exam
Credit for Prior Learning Option Procedure(s)
- The student should contact an instructor currently teaching or scheduled to teach the desired course.
- The instructor will provide and schedule an exam date.
- The student is to bring the Credit by Exam form to the scheduled exam.
- The faculty member will notify the student and Records Office of the results.
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