MATH 240 - Topics in Linear Algebra
Study of systems of linear equations, vector spaces, matrices and matrix equations, eigenvalues and eigenvectors, linear transformations, and applications. Graphing calculator required.
Enrollment Requirement: MATH& 153 with a grade of 2.0 or higher; or appropriate math placement.
Satisfies Requirement: Natural Science and Quantitative Skills
Students who successfully complete this class will be able to:
- Describe the solution set of a system of linear equations.
- Apply Gaussian and Gauss-Jordan elimination.
- Find the inverse of an invertible matrix.
- Apply equivalent properties of matrix invertibility.
- Identify vector spaces.
- Find a basis for a vector space.
- Normalize a set of vectors.
- Find and apply the eigenvalues and eigenvectors of a matrix.
- Find the least squares approximation of a system of linear equations.
- Identify and apply linear transformations.
Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
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.
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