COURSE INFO

SCHEDULE

SYLLABUS

HOMEWORK

OFFICE HOURS


Math 358

Combinatorics and Graph Theory

Schedule


The week before Spring break there will be no class and the time will be devoted to working on the take-home midterm. Fridays after Spring Break are devoted to student presentations.

Wednesday, 1/17: Chapter 2: Introduction, Counting, and the Integers
Friday, 1/19: Chapter 2: Induction, Counting, and Orders of Magnitude
Monday, 1/22: Chapter 3: Subsets, the Binomial Theorem, and Pascal's Triangle
Wednesday, 1/24: Chapter 3: Permutations and Factorials
Friday, 1/26: Chapter 3: Selections, Equivalences, and Relations
Monday 1/29: Chapter 4: Fibonacci Numbers and Recurrence Relations
Wednesday, 1/31: Chapter 4: Derangements and Involutions, Catalan and Bell Numbers
Friday 2/2: Chapter 4: Solving Recurrence Relations
Monday, 2/5: Chapter 5: The Principle of Inclusion and Exclusion
Wednesday, 2/7: Chapter 5: Stirling numbers and more PIE
Friday, 2/9: Catch-up Day
Monday, 2/12: Chapter 6: Latin Squares
Wednesday, 2/14: Chapter 6: SDR's and Hall's Condition
Friday, 2/16: Chapter 6: Combinatorial Structures
Wednesday, 2/21: Chapter 7: Families of Sets
Friday, 2/23: Chapter 7: More Families of Sets
Monday, 2/26: Chapter 8: Steiner Triple Systems
Wednesday, 2/28: Chapter 10: Ramsey's Theorem
Friday, 3/2: Review Day
Monday, 3/26: Graph Theory: Basic Definitions
Wednesday, 3/28: Operations on Graphs, Graph Complements, Families of Graphs
Monday, 4/2: Graph Isomorphisms, Trees and Forests
Wednesday, 4/4: Eulerian and Hamiltonian Graphs
Monday, 4/9: Weighted Graphs and Travelling Salesperson Problems
Wednesday, 4/11: Algorithms, Spanning Trees, Minimal Connectors
Monday, 4/16: Planarity and Euler's Characterisitc
Wednesday, 4/18: Topologican Graph Theory and the Genus of a Graph
Monday, 4/23: Crossing Numbers, Graph Duality
Wednesday, 4/25: Coloring Graphs and the Four-Color Theorem
Monday, 4/30: Connectivity and Max-Min Theorems
Wednesday, 5/2: The game of SET
Monday, 5/7: Course Recap
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