Teaching assistant: Nguyen Chi Dung nguyendung (AT) math (DOT) columbia (DOT) edu, Office Hours ... Classification of (finitely-generated) modules over PIDs. Semisimple rings. Basics of category ...

Fundamental Theorem of Algebra. Applications of finite fields. If time allows: Modules over rings and representation theory. Classification of (finitely-generated) modules over PIDs. Semisimple rings.

Elementary set theory and solution sets of systems of linear equations. An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear ...

intended for students who have already taken a previous course in linear algebra or have some experience with vectors and matrices. The goal of the review is to highlight basic notation, operations, ...

The plus symbol (+) signifies addition. It's the most basic math symbol in the world. When adding two or more numbers, use the plus symbol to indicate that you are combining them. For example ...