MATH 340

“The course continues the study of linear algebra from MATH 225 or MATH 230/231. It discusses several aspects of linear algebra that are of crucial importance for the subject and its applications to abstract algebra, geometry and number theory. Topics include generalized eigenspaces and Jordan normal form theorem, dual vector spaces, bilinear and hermitian forms, symmetric and hermitian operators, Hom spaces and tensor products.”

Time: MW 2:30–3:45 PM

Place: WTS (Watson Center Sachem St), Room A74

pdf Syllabus

pdf Midterm Study Guide (Wednesday, 2/26)

pdf Notes on linear operators and Jordan canonical form

• 1. Vector Spaces and Linear Maps
• 2. Eigenvectors and the Jordan Decompositon
• 3. Tensors and Multilinear Forms
• 4. Inner Products and the Spectral Theorem

Problem Sets