Spring 2023 Math3140/5140 Advanced Linear Algebra

General Info

Instructor:	Julia Hartmann
	hartmann@math.upenn.edu
	Office Hours on zoom Wednesdays 9.15-10.15am
Lecture:	MF 10:15-11.44. BENN 419
	Note that the first lecture is on Wednesday, January 11 which is a Monday on the university schedule.
Textbook:	Linear Algebra
	Kenneth Hoffman and Ray Kunze
	Pearson 1971

All class materials will be available on the canvas page.

Course Content

Math 3140/5140 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.

Notes: Lecture 1, 1/11
Lecture 2, 1/13
Homework: Homework Set 1, due 1/23
If you do not have access to Canvas by 1/23, you can submit the homework by email (to me).
TA office hours this week: Thursday, January 19, 3:30-4:30, DRL 3N4A.