MATH 264 - Applications in Linear Algebra

For students who wish to focus on the practical applications of Linear Algebra. A wide range of applications are discussed and coursework will rely heavily on technology in order to focus on the applications of concepts and methods. The main topics include matrix calculations and determinants, vector spaces over the real numbers, orthogonality, linear transformations, eigenvalues, eigenvectors, graphical explorations of vectors, and inner products. Applications incorporating problem solving are presented in the context of real-world situations with an emphasis on model creation and interpretation. PREREQUISITE(S): A grade of C or better in MATH 150 or MATH 181 or consent of department. Assessment Level(s): ENGL 101/ENGL 011 or AELW 940, READ 120 or AELR 930. Four hours lecture each week.

4 semester hours

Course Outcomes:
Upon course completion, a student will be able to:

Use computational techniques and algebraic skills essential for the study of systems of linear equations, matrix algebra, vector spaces, eigenvalues and eigenvectors, orthogonality and diagonalization.
Use visualization, spatial reasoning, as well as geometric properties and strategies to model, solve problems, and view solutions, especially in R2 and R3 as well as conceptually extend these results to higher dimensions.
Critically examine, analyze, and construct mathematical arguments that relate to the study of linear algebra.
Utilize technology where appropriate to enhance and facilitate mathematical understanding as well as to aid in solving problems and presenting solutions.
Understand, evaluate, and communicate mathematical statements, ideas and results with the correct use of mathematical definitions, terminology, and symbolism.

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