This calendar is extremely tentative, but should give a general idea of what topics we will cover.
Course Textbooks:
Date | Tentative class plan: |
Mon, Jan 31 | Welcome! § 0.1: What is Discrete Mathematics? § 0.2: Mathematical Statements |
Wed, Feb 2 | Finish § 0.2: Mathematical Statements |
Mon, Feb 7 | § 0.3: Sets Start § 0.4: Functions |
Wed, Feb 9 | Finish § 0.4: Functions |
Mon, Feb 14 | Begin Chapter 1: Counting § 1.1: Additive and Multiplicative Principles |
Wed, Feb 16 | § 1.2: Binomial Coefficients |
Mon, Feb 21 | College closed |
Wed, Feb 23 | § 1.3: Combinations and Permutations |
Mon, Feb 28 | § 1.4: Combinatorial Proofs Start § 1.5: Stars and Bars |
Wed, Mar 2 | Finish § 1.5: Stars and Bars Review |
Mon, Mar 7 | First midterm. |
Wed, Mar 9 | Begin Chapter 2: Sequences § 2.1: Describing Sequences |
Mon, Mar 14 | Start § 2.2: Arithmetic and Geometric Sequences § 2.3: Polynomial Fitting |
Wed, Mar 16 | § 2.4: Solving Recurrence Relations |
Mon, Mar 21 | § 2.4: Solving Recurrence Relations § 2.5: Induction |
Wed, Mar 23 | Midterm problem redo. § 2.5: Induction |
Mon, Mar 28 | § 2.5: Induction |
Wed, Mar 30 | § 1.6: Advanced Counting Using PIE |
Mon, Apr 4 | Brief discussion of the Pigeonhole Principle (which appears in § 3.2) Begin Chapter 4: Graph Theory § 4.1: Definitions |
Wed, Apr 6 | Finish § 4.1: Definitions |
Mon, Apr 11 | Review |
Wed, Apr 13 | Second midterm. |
Mon, Apr 18 | Spring Break |
Wed, Apr 20 | Spring Break |
Mon, Apr 25 | § 4.2: Trees |
Wed, Apr 27 | Start § 4.3: Planar Graphs |
Mon, May 2 | Start § 4.4: Coloring |
Wed, May 4 | Start § 4.5: Euler Paths and Circuits |
Mon, May 9 | Start § 4.6: Matching in Bipartite Graphs |
Wed, May 11 | Begin Chapter 5: Additional Topics § 5.1: Generating Functions |
Mon, May 16 |