Math 43900 Problem Solving

$University of Notre Dame - College of Science$

Math 43900 Problem Solving (Fall 2017)
Problem solving

Instructor: Andrei Jorza, Hurley 275.

The course meets on Tuesdays at 3:30pm in Hayes-Healy 229. Office hours Tuesdays 2-3:30.

Date	Lecture	Topics	Handout	Exercises	Due	Challenge
August 22	1	Overview	Exercises
August 29	2	Proof by contradiction and induction	Exercises	Homework	9/5
September 5	3	Induction and the pigeonhole principle	Exercises	Read AG, write 2, look over lecture 4 problems.	9/12
September 12	4	Polynomials	Exercises	Read AG, write 2, look over lecture 5 problems.	9/19
September 19	5	Calculus	Exercises	Read AG, write 2, look over lecture 6 problems.	9/26
September 26	6	Invariants	Exercises	Read AG, write 2, look over lecture 7 problems.	10/3
October 3	7	Number Theory	Exercises	Read AG, write 2, look over lecture 8 problems.	10/10
October 10	8	Combinatorics	Exercises	Read AG, write 2, look over lecture 9 problems.	10/24	Challenge
October 21	Virginial Tech Regional Math Competition
October 24	9	Matrices	Exercises	Read AG, write 2, look over lecture 10 problems.	10/31
October 31	10	Sequences and series	Exercises	Read AG, write 2, look over lecture 11 problems.	11/7
November 7	11	Inequalities	Exercises	Read AG, write 2, look over lecture 12 problems.	11/14
November 14	12	Functional equations	Exercises	Work on Mock Putnam (2 hours)	11/21
November 21	13	Brainstorming	Exercises Suggestions	Thanksgiving!
November 28	14	Which problems do I choose?	Exercises	Putnam is coming.
December 2	William Lowell Putnam Math Competition
December 5	15	What just happened?

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