POL 502: Mathematics for Political Science



In the last 20 years, political science research has come to increasingly rely on quantitative and formal methods. Having a solid foundation in the underlying mathematical concepts will help you do better research in these areas. You may not know the direction of your research. However, you will find the mathematical skills and intuition you gain from this course useful to understand and conduct applied research in the discipline. Download the syllabus.


Foundations : Sets, Functions, Real Numbers.
Sequences : Limits of Sequences, Cauchy Sequences, Subsequences and Monotone Sequences.
Limits of Functions and Continuity : Limits of Functions, Continuous Functions, Uniform Continuity and Compact Sets, Properties of Continuous Functions.
Differential and Integral Calculus : Derivatives, The Mean Value Theorem and Its Applications, The Riemann Integral, The Fundamental Theorem of Calculus and Its Applications.
Linear Algebra : Matrix and System of Linear Equations, Determinant and Inverse of Matrix, Real Vector Spaces, Linear Independence and Eigenvalues.
Multi-variable Calculus : Differential Calculus with Multiple Variables, Integral Calculus with Multiple Variables.
See POL 571 website for the handouts on probability theory.
© Kosuke Imai
  Last modified: Fri Feb 17 09:24:59 EST 2006