Math 4110: Combinatorics, Math/Stat 1000: Math Communities
Math 4110: MW 1:55-3:10 in John Berry 201B
Math/Stat 1000: Monday 3:45-4:35 in John Berry 201B
Office Hours: by appointment in SAC 378 (or Zoom). Please feel free to come see me. I will be in the office most days.
Resources
Announcements: More information coming soon! Please feel free to email me if you have questions.
Office Hours: by appointment (please feel free to make use of this!)
Virtual spaces: Zoom 971 7120 5697
Syllabus: Math 4110 and Math 1000
Overleaf resources: Overleaf primer and document template. Both of these were generously given to me by the benevolent Dr. Kristin Heysse (expert in combinatorics [spectral graph theory]!)
Lecture notes: here, updated April 2
Math Center Information
First Exam! Schedule a time with me anytime before Thursday March 21. Problems and Rubric
Second Exam! Schedule a time with me sometime between May 1 and May 8: Problems
Schedule Math 4110
January 17: Introduction to course and first counting principles: sequences, the multiplication and summation principles (see also Keller and Trotter sections 2.1-2.3)
January 22 and 24: permutations and combinations, bijections and double counting (see also Keller and Trotter sections 2.4-2.6)
January 29 and 31: Estimation (see also Matousek and Nesetril 3.4-3.5), Inclusion-exclusion (see also Keller and Trotter 7.1-7.3, 7.4-7.5)
February 5 and 7: Inclusion/Exclusion more examples, Intro to graph theory (see also Bondy and Murty 1.1-1.2, 1.4-1.7)
February 12 and 14: Bipartite and planar graphs (see also, Bona 11.1-11.2, 12.1)
February 19 and 21: Coloring planar graphs, homework day
February 26 and 28: Recurrences and generating functions introduction (see also Brualdi chapter 7 and 8)
March 4 and 6: Spring break!
March 11 and 13: generating functions, formal power series and first examples (see also: Wilf Chapter 2 and Keller/Trotter Chapter 8)
March 18 and 20: generating functions sum and product lemma and more examples. Oral exam number 1!
March 25 and 27: generating functions final examples
April 3: (No class April 1 for Easter), Ramsey-type problems and introduction to probabilistic method
April 8 and 10: Ramsey problems, probabilistic preliminaries
April 15 and 17: First moment method, alterations, Markov's inequality
April 22 and 24: Second moment method, Chebyshev's inequality
April 29 and May 1: Applications of first and second moment method
Homework
Homework 1 due Wednesday January 31
Homework 2 due Monday February 12
Homework 3 due Wednesday February 21
Homework 4 due Friday March 1
Homework 5 due Friday March 29
Homework 6 due Friday April 12
Homework 7 due Wednesday May 1
Schedule Math 1000
January 22: Introduction. Homework: exchange contact information!
January 29: Typesetting with LaTeX: homework set
February 5: Data science/careers in data science with Jake Rozran
February 12: Sports analytics with Joshua Mould
February 19: Bayesian methods and college basketball with Jesse Frey
February 26: Actuarial science with Rob Kluge
March 4: Spring Break!
March 11: Resume building, internships, and the career center with John McGranaghan
March 18: schedule building
March 25: Financial math with Klaus Volpert
April 1: Easter Break!
April 8: Colloquium
April 16 (note Tuesday!): lunch with Dr. Mark Taranto
April 22: SET and the capset problem
April 29: Undergraduate research