Math 181: A Mathematical World, Spring 2016
University of Illinois at Urbana-Champaign
Class time: 2:00-2:50 MWF
Class location: 145 Altgeld
Instructor: Sarah Yeakel
Office: 169 Altgeld
Office hours: 3-3:50 MW or by appointment
Email: yeakel2(at)illinois(dot)edu
Topics
Weeks 1-5: Graph theory (Euler circuits, Hamiltonian circuits, chromatic number)
Weeks 6-7: Voting theory (preference ballots, properties of different methods)
Weeks 8-9: Geometry (scaling, crushing strength)
Weeks 10-11 : Tessellations (platonic solids, archimedean solids, duality)
Weeks 12-13, 15: Topology (multiplying spaces, knots, gluing diagrams, games on surfaces)
Week 14: (substitute) sizes of infinity
Required Homework
due at the beginning of class
Homework 1 Due Friday, January 22
Homework 2 Due Wednesday, January 27
Homework 3 Due Wednesday, February 3
Homework 4 Due Friday, February 12
Homework 5 Due Friday, February 26
Homework 6 Due Monday, March 7
Homework 7 Due Monday, March 16
Homework 8 Due Wednesday, April 6
Homework 9 Due Monday, April 18
Homework 10 Due Monday, April 25
Homework 11 Due Wednesday, May 4
Suggested homework
(from the book)
Chapter 1: skills check: 2, 7, 9, 11, 14, 17, 19, 20-21, 24, 29
exercises: 2-4, 7, 9, 12, 16, 23-25, 27, 28, 30, 38, 40, 42
Chapter 2: skills check: 5, 7, 13, 17, 21
exercises: 1-3, 5-6, 11, 14-17, 18b, 21, 27, 28, 30 , 39, 44a-c, 46-50, 54-55, 57, 59-61, 67-68
Chapter 3: skills check: 25, 26, 29, 30
exercises: 71-72, 76, 85-86
Chapter 9: skills check: 11, 13, 15, 19, 27
exercises: 5, 9-13, 15-20, 21a, 28, 36, 38
Chapter 18: skills check: 1-6, 10, 16, 19-20, 24
exercises: 2-5, 15-18, 32-33, 36, 41, 48
Infinity and tic-tac-toe(notice the worksheet for May 2 has more tic-tac-toe type problems.)
Exams
Exams are given during class, in the usual classroom, so no conflict exams will be given. Please refer to the syllabus for the policy on missed exams or quizzes.
Exam 1: Friday, February 19 blank exam solutions
Exam 2: Friday, March 18 blank exam solutions
Exam 3: Wednesday, April 20 solutions
Final Exam: Monday, May 9, 7:00PM-10:00PM in our classroom