## Introduction to Theoretical Math;

PITT Math 413, Summer 2008

# Suggested topics for the Term Paper

Complex numbers and trigonometry

Euclid's fifth postulate

The Axiom of Choice

The Continuum Hypothesis

The notion of curvature for curves

The binomial theorem and generalizations

The algebra of quaternions

Construction of the real numbers by Dedekind cuts

Algebraic and transcendental numbers

Conic sections

Minimal surfaces and soap bubbles

Orientable and non-orientable surfaces

Elliptic curves

The Projective plane