MATH 175(F) Mathematical Politics: Voting, Power, and Conflict (Same as INTR 160) (Q)

Who should have won the 2000 Presidential Election? Do any two senators really have equal power in passing legislation? How can marital assets be divided fairly? While these questions are of interest to many social scientists, a mathematical perspective can offer a quantitative analysis of issues like these and more. In this course, we will discuss the advantages and disadvantages of various types of voting systems and show that, in fact, any such system is flawed. We will also examine a quantitative definition of power and the principles behind fair division. Along the way, we will enhance the critical reasoning skills necessary to tackle any type of problem mathematical or otherwise. Format: lecture/discussion. Evaluation will be based primarily on projects, homework assignments, and exams. Prerequisites: Mathematics 100 /101/102(or demonstrated proficiency on a diagnostic test) or permission of instructor. No enrollment limit (expected: 25).