MATH 737 - Multilinear Algebra

(3 units)

Multilinear Algebra is a fundamental subject in mathematics with applications in various areas in mathematics. It studies functions of several variables that are linear in each entry separately, thereby generalizing linear algebra. This one-semester course gives a mathematically rigorous treatment of Multilinear Algebra, which leads to an advanced understanding of the subject. Writing mathematical proofs is required.

Maximum units a student may earn: 3

Prerequisite(s): MATH 731 with a “B” or better or MATH 735 with a “B” or better.

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Fall - Odd Years

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. apply finite group representation theory to research problems in mathematics.
2. describe when multilinear algebra techniques are applicable to research problems in mathematics such as generalized matrix inequalities and combinatorics.
3. critically assess published results based on multilinear algebra.

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