Math 43900 Problem Solving (Fall 2016)
Instructor: Andrei Jorza, Hurley 275.
The course meets on Tuesdays at 3:30pm in Hayes-Healy 127. Office hours Tuesdays 2-3:30.
Date | Lecture | Topics | Handout | Exercises | Due | Solutions |
August 23 | 1 | Overview | Exercises | Questionnaire | 8/30 | |
August 30 | 2 | Proof by contradiction and induction | Exercises | Write out two problems from the handout that we didn't do in class. | 9/6 | Solutions |
September 6 | 3 | Induction and the pigeonhole principle | Exercises | Write out exercise 2 from the first induction section and a pigeonhole exercise that we didn't do in class. | 9/13 | Solutions |
September 13 | 4 | Polynomials | Exercises | Write out two problems from the handout that we didn't do in class, one from each section. | 9/20 | Solutions |
September 20 | 5 | Invariants | Exercises | Write out two problems from the handout that we didn't do in class, one from each section. | 9/27 | |
September 27 | 6 | Number theory | Exercises | Write out two problems from the handout that we didn't do in class, one from each section. | 10/4 | |
October 4 | 7 | Combinatorics | Exercises | Write out two problems from the handout that we didn't do in class, each from a different section. | 10/11 | |
October 11 | 8 | Matrices | Exercises | Write out two problems from the handout that we didn't do in class, each from a different section. | 10/25 | |
October 22 | Virginial Tech Regional Math Competition (or at a later date if you're not around) | |||||
October 25 | 9 | Sequences and series | Exercises | 11/1 | ||
November 1 | 10 | Calculus | Exercises | Write out two problems from the handout that we didn't do in class, each from a different section. | 11/8 | |
November 8 | 11 | Functional equations | Exercises | Write out two problems from the handout, at least ONE that we didn't do in class, each from a different section. | 11/15 | |
November 15 | 12 | Inequalities | Exercises | Write out two problems from the handout, at least ONE that we didn't do in class, each from a different section. | 11/29 | |
November 22 | 13 | Which problems do I choose? | Exercises | Write out two problems from the handout, at least ONE that we didn't do in class, each from a different section. | ||
November 29 | 14 | Brainstorming | Exercises | No homework | ||
December 3 | William Lowell Putnam Math Competition | |||||
December 6 | 15 |
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