Listed in: Mathematics and Statistics, as MATH-275
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Amalia V. Culiuc (Section 01)
This course is a continuation of the material in MATH 271 and 272, providing more insight into abstract vector spaces and operator theory. Topics may include least squares estimates, singular value decompositions, Jordan canonical forms, inner product spaces, linear functionals and duals, orthogonal polynomials, vector and matrix norms, the spectral theorem, eigenvalue inequalities, and error-correcting codes. Time permitting, applications to graph theory and discrete dynamical systems may be explored. Four class hours per week.
Requisites: MATH 271, MATH 272, or consent of the instructor. Spring semester. Limited to 25 students.
How to handle overenrollment: Preference is given to math majors.
Students who enroll in this course will likely encounter and be expected to engage in the following intellectual skills, modes of learning, and assessment: Problem sets, In-class group work, Take-home exams.