Fall 2020 Math314/514 Linear Algebra

General Info

Instructor: Julia Hartmann
hartmann@math.upenn.edu
Office Hours TBA
Lecture: MW 10:30-12.
Textbook: Linear Algebra
Kenneth Hoffman and Ray Kunze
Pearson 1971
I am trying to provide online access to the book. If that fails I may have to find a different textbook.
The lectures for this course will be online. All class materials and a zoom link to the lectures will be available on the canvas page.

Course Content

Math 314/514 covers Linear Algebra at the advanced level with a theoretical approach.

Topics include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra.

A preliminary syllabus will be posted here soon.