Math 412: Advanced Linear Algebra Lecture Notes

Lecture notes Math 4377/6308 – Advanced Linear Algebra I

Lecture Notes in Lie Groups

These lecture notes in Lie Groups are designed for a 1–semester third year or graduate course in mathematics, physics, engineering, chemistry or biology. This landmark theory of the 20th Century mathematics and physics gives a rigorous foundation to modern dynamics, as well as field and gauge theories in physics, engineering and biomechanics. We give both physical and medical examples of Lie gr...

Math 110: Linear Algebra Practice Midterm #2

∗Note The theorems in sections 5.1 and 5.2 each have two versions, one stated in terms of linear operators, one in terms of matrices. The book states most of them in terms of linear operators, whilst in the lecture notes, they are mostly stated in terms of matrices. For example, compare Theorem 5.5 and its corollary in the book with Theorem 5 and its corollary in the lecture notes; also compare...

Homological Algebra - Lecture Notes Lectures by Paul Balmer Notes by Geunho Gim

These notes are based on the course Math 212, Homological Algebra given by professor Paul Balmer on Spring 2014. Most of these notes were live-TEXed in class. The footnotes are added by me.

Lecture Notes for Math 627A Modern Algebra Notes on the Isomorphism Theorems for Groups