

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.

Multivariable Calculus
: Differential Calculus with Multiple Variables, Integral Calculus
with Multiple Variables.

See POL 571 website for
the handouts on probability theory.
