This is the current syllabus for Math 395. Like all plans, it is subject
to change. At any given time, we will probably be either a little ahead of or
a little behind the point where the syllabus says we "should" be.
| Week | Starts | Sections | Topic |
|---|---|---|---|
| 1 | Sept. 6 | 1.1 | Statements, Propositions, and Theorems |
| 1.2 | Connectives and Truth Tables | ||
| 1.3 | Conditional Statements | ||
| 2 | Sept. 12 | 1.4 | Strategies for Proofs |
| 1.5 | Logical Equivalence | ||
| 2.1 | Fundamentals of Sets | ||
| 3 | Sept. 19 | 2.2 | Russell's Paradox |
| 2.3 | Quantifiers and their Negations | ||
| 2.4 | Set Inclusion | ||
| 4 | Sept. 26 | 2.5 | Union, Intersection, and Complement |
| 2.6 | Indexed Sets | ||
| 5 | Oct. 3 | 2.7 | Power Sets |
| 2.8 | Cartesian Products | ||
| 2.9 | Partitions and Relations | ||
| 6 | Oct. 10 | 2.10 | Mathematical Induction and Recursion |
| 3.1 | Introduction to Functions | ||
| 7 | Oct. 17 | 3.2 | Injections, Surjections, and Sequences |
| 3.3 | Composition of Functions | ||
| 8 | Oct. 24 | 4.1 | Counting Principles |
| 4.2 | Comparing Sets | ||
| 9 | Oct. 31 | 4.3 | Countable and Uncountable Sets |
| 10 | Nov. 7 | 4.4 | More about Infinity |
| 5.1 | Combinatorics | ||
| 5.2 | Addition and Product Rules | ||
| 5.3 | Permutations | ||
| 11 | Nov. 14 | 5.4 | Geometric Symmetry |
| 5.5 | Cycle Decomposition | ||
| 12 | Nov. 21 | 5.5 (continued) | Cycle Decomposition |
| 13 | Nov. 28 | 5.6 | Order of a Permutation |
| 5.7 | Odd and Even Permutations | ||
| 14 | Dec. 5 | 5.8 | Binomial and Multinomial Coefficients |
| 15 | Dec. 12 | Catch-up Day |
We will be discussing mathematical problems on the following Fridays: September 30,
October 21, November 4, November 18 and December 9.
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