Math 36
Mathematical Models in the Social Sciences

General Information

Syllabus

Homework

Syllabus

The following is a tentative syllabus for the course.

Monday	Tuesday	Wednesday	Thursday	Friday
Jan. 3	Jan. 4	Jan. 5 Introduction to mathematical modeling Single variable differential equations Exponential and logistic models	Jan. 6 No Class	Jan. 7 Systems of differential equations Slope fields Arms race model
Jan. 10 Arms race model (cont.) Predator-prey ecosystem model	Jan. 11	Jan. 12 Deterministic epidemic model	Jan. 13 Problem Session Differential Equations	Jan. 14 Introduction to game theory Two-player zero-sum games HW Due Differential Equations
Jan. 17 No Class Martin Luther King Day	Jan. 18	Jan. 19 Minimax theorem Solving 2-by-n games Basic poker endgame	Jan. 20 Basic poker endgame (cont.) Introduction to Linear Algebra	Jan. 21 More on Linear Algebra Solving nonsingular matrix games
Jan. 24 Impartial combinatorial games	Jan. 25	Jan. 26 Two-player general-sum noncooperative games	Jan. 27 Two-player general-sum cooperative games Nash barganing axioms	Jan. 28 n-player coalitional games
Jan. 31 Problem Session Game Theory	Feb. 2	Feb. 3 Exam 1 Differential Equations Game Theory HW Due Game Theory	Feb. 4 Introduction to Graph Theory	Feb. 5 Probability Stochastic processes Markov chains and applications
Feb. 7 Social networks Graph stability and balance	Feb. 8	Feb. 9 Tournaments	Feb. 10 Problem Session Discrete Mathematics	Feb. 11 No Class Winter Carnival
Feb. 14 Voting Theory HW Due Discrete Mathematics	Feb. 15	Feb. 16 Voting Theory	Feb. 17 No Class	Feb. 18 Voting Theory Project Draft Due
Feb. 21 Voting Theory	Feb. 22	Feb. 23 Voting Theory	Feb. 24 Problem Session Voting Theory	Feb. 25 Exam 2 Discrete Mathematics Voting Theory HW Due Voting Theory
Feb. 28 Student presentations	Mar. 1	Mar. 2 Student presentations	Mar. 3 No Class	Mar. 4 Student presentations
Mar. 7 Student presentations	Mar. 8	Mar. 9 Course Review Last Day of Class	Mar. 10	Mar. 11