MATH 240 - Topics in Linear Algebra

Credits: 5
Study of systems of linear equations, vector spaces, matrices and matrix equations, eigenvalues and eigenvectors, linear transformations, and applications. Graphing calculator required.

Prerequisite: MATH& 153  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Describe the solution set of a system of linear equations.
2. Apply Gaussian and Gauss-Jordan elimination.
3. Find the inverse of an invertible matrix.
4. Apply equivalent properties of matrix invertibility.
5. Identify vector spaces.
6. Find a basis for a vector space.
7. Normalize a set of vectors.
8. Find and apply the eigenvalues and eigenvectors of a matrix.
9. Find the least squares approximation of a system of linear equations.
10. Identify and apply linear transformations.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.