Math 145. Problem solving. Fall 2003.
Tentative class schedule with homework assignments
This schedule is subject to change.
| Date | Topic (theory and problems to be done in class) | Homework (problems and solutions) | ||
|---|---|---|---|---|
| Aug 25 | Introduction - First class | |||
| Dirichlet's box principle (also called pigeonhole principle) |
Problems | |||
| Aug 27 | ||||
| Aug 29 | Principle of mathematical induction | Problems | ||
| Sep 1 | Labor Day - no classes | |||
| Sep 3 | Mathematical induction continued | |||
| Sep 5 | homework 1 (Dirichlet's principle) due | Solutions | ||
| Sep 8 | Logic and types of proofs
Larry Cusick's tutorial on proof writing |
Problems | ||
| Sep 10 | ||||
| Sep 12 | homework 2 (Mathematical induction) due | Solutions | ||
| Sep 15 | Number theory | Problems | ||
| Sep 17 | ||||
| Sep 19 | homework 3 (Logic and types of proofs) due | Solutions | ||
| Sep 22 | Finding a pattern | Problems | ||
| Sep 24 | ||||
| Sep 26 | Invariants | Problems | homework 4 (Number theory) due | Solutions |
| Sep 29 | ||||
| Oct 1 | Review: Practice test 1 | Solutions | ||
| Extra office hours: 4-7 pm | ||||
| Oct 2 | Extra office hours: 12-6 pm | |||
| Oct 3 | Test 1 (covers Dirichlet, Induction, Logic, Number theory, Patterns) | Solutions | homework 5 (Finding a pattern) due | Solutions |
| Oct 6 | Invariants contin ued | |||
| Oct 8 | Coloring | Problems | ||
| Oct 10 | ||||
| Oct 13 | homework 6 (Invariants) due | Solutions | ||
| Oct 15 | Case study | Problems | ||
| Oct 17 | ||||
| Oct 20 | homework 7 (Coloring) due | Solutions | ||
| Oct 22 | Graphs | Problems | ||
| Oct 24 | ||||
| Oct 27 | homework 8 (Case study) due | Solutions | ||
| Oct 29 | Symmetry, translations, rotations, and similarity | Problems | ||
| Oct 31 | ||||
| Nov 3 | homework 9 (Graphs) due | Solutions | ||
| Nov 5 | Review: Practice test 2 | Solutions | ||
| Extra office hours: 4-7 pm | ||||
| Nov 6 | Extra office hours: 12-6 pm | |||
| Nov 7 | Test 2 (covers Invariants, Coloring, Case study, Graphs) | Solutions | ||
| Nov 10 | Working backwards | Problems | homework 10 (Symmetry, etc) due | Solutions |
| Nov 12 | ||||
| Nov 14 | ||||
| Nov 17 | Calculus | Problems | ||
| Nov 19 | ||||
| Nov 21 | homework 11 (Working backwards) due | Solutions | ||
| Nov 24 | ||||
| Extra office hours: 11:45-12:45, 2-5 | ||||
| Nov 26 | Thanksgiving recess - no classes, no office hours | |||
| Nov 28 | ||||
| Dec 1 | Extra office hours: 11:45-12:45, 2-5 | |||
| Calculus and absolute values | Problems | homework 12 (Calculus) due | Solutions | |
| Dec 3 | ||||
| Dec 5 | Review: Practice test 3 | Solutions | ||
| Dec 8 | Test 3 (covers Symmetry, etc, Working backwards, Calculus) | Solutions | homework 13 (Calculus and absolute values) due | Solutions |
| Dec 10 | Review - Last class: Practice final Review problems done in class |
Solutions Solutions |
||
| Dec 11 | Consultation day. Office hours: 12-4 | |||
| Dec 12 | Consultation day. Office hours: 10-2 | |||
| Dec 15 | Final exam (cumulative), 1:15-3:15 pm, in our regular room | |||