Overview
Description
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.
Requirements
Prerequisites
- MATH 731 with a “B” or better
- MATH 735 with a “B” or better
MATH 731MATH 735
Original catalog text
Prerequisites
Prerequisite(s): MATH 731 with a “B” or better or MATH 735 with a “B” or better.
Units
Lecture3
Catalog Details
Offering
Offered: Every Fall - Odd Years
Terms
fall
Attributes
Standard
Learning Outcomes
- apply finite group representation theory to research problems in mathematics.
- describe when multilinear algebra techniques are applicable to research problems in mathematics such as generalized matrix inequalities and combinatorics.
- critically assess published results based on multilinear algebra.