COURSE SYLLABUS Course Number: MATH6050 Course Title: MATRIX THEORY AND APPLICATIONS Credit Hours: 3 Prerequisites: MATH2660 Corequisite: Objectives: To present topics in linear algebra and matrix theory that are important because of their applications in other areas of mathematics and the sciences and to discuss those applications. Schedule and Outline of Course Content: Review material: Linear equations and matrix algebra. Discussion of eigenvalues and eigenvectors, including multiplicity and diagonalizability. (9 days) The Jordan Canonical Form: Applications include the solution and stability of linear constant coefficient homogeneous systems, both continuous and discrete. (9 days) The spectral theorem for symmetric matrices: This may include the singular value decomposition, with application to psuedo-inverses and the solution to least squares problems. (9 days) Nonegative matrices: Perron-Frobenius Theory and its application to Markov Chains. (6 days) Linear Programming: Use of the theory of linear equations to solve linear optimization problems, with applications. (6 days) Possible textbook: Applied Linear Algebra 3rd ed., Ben Noble and James Daniel, Prentice Hall. Grading and Evaluation Procedures: Quizzes, tests, final exam, as well as projects which involve computer use, at the discretion of the instructor. Statement related to policies on unannounced quizzes and class attendance and participation: Individual instructors have different policies concerning pop quizzes, class participation, homework grades, and attendance, which are announced at the beginning of the semester.