Teaching Notes

Sets. Notes discussing the basic axioms and assumptions on sets used in mathematics, as well as standard notations, definitions and theorems related to sets. Intended for students in an introductory mathematical reasoning course. Used when I was a teaching assistant for Math 33A at UCLA in Winter 2011, and as a graduate instructor in Fall 2012.

Induction. Introductory notes on Induction proofs. Intended for students in an introductory mathematical reasoning class. Includes examples of induction proofs, and when to use them.Used when I was a teaching assistant for Math 33A at UCLA in Winter 2011, and as a graduate instructor in Fall 2012.

Contradiction. Notes intended for students learning introductory mathematical reasoning and proofs. I address how and when to use a contradiction method of proof, including discussing concrete exmaples.Used when I was a teaching assistant for Math 33A at UCLA in Winter 2011, and as a graduate instructor in Fall 2012.

Common Proof Mistakes. These notes describe standard logical fallacies typically commited. Intended as words of caution for students first learning mathematical proofs. Used when I was the graduate instrcutor for Math 32AH at UCLA.

Functions. Notes discussing the abstraction definition of a function and its use in mathematics. Includes examples of natural sets defined in terms of functions and proofs of standard notions which are used everywhere in mathematics.Used when I was a teaching assistant for Math 33A in Winter 2011 at UCLA, and as a graduate instructor at UCLA in Fall 2012.