GOV 380R • Math Methods for Pol Analysis
11:00 AM-12:30 PM
This course introduces the mathematical concepts and methods essential for multivariate statistical analysis and formal political theory. Mathematical topics include reviews of basic calculus and linear algebra, eigenvalues and eigenvectors, quadratic forms, vector and matrix differentiation, unconstrained optimization, constrained optimization, and difference and differential equations. Applications in multivariate statistical analysis include multiple regression, principal component analysis, factor analysis, etc., and their estimation in matrix form. Applications in formal political theory include equilibrium analysis, dynamic analysis, and spatial analysis.
1. Homework Assignments: 30% 2. Midterm Exam: 30% 3. Final Exam or Project: 30% 4. Attendance: 10%
1. Alpha C. Chiang and Kevin Wainwright. 2004. Fundamental Methods of Mathematical Economics, 4th ed. McGraw-Hill/Irwin. 2. J. Douglas Carroll and Paul E. Green. 1997. Mathematical Tools for Applied Multivariate Analysis. Revised ed. Academic Press. 3. Samuel Goldberg. 1986. Introduction to Difference Equations: With Illustrative Examples from Economics, Psychology, and Sociology. Dover. 4. (Optional) Jeff Gill. 2006. Essential Mathematics for Political and Social Research. Cambridge.