Study of concepts of probability leading to discussion of the binomial, poisson, and normal distributions, as a foundation for statistical inference. Introduction of the concept of algebraic structures with particular reference to the properties of groups and rings. Systematic treatment of the foundation of Euclidean Geometry with an introduction to other geometries. Study of limit processes applied to continuous or differentiable real-valued functions. Careful definitions and rigorous methods of proof are emphasized.
Topology is introduced as the proper framework for continuous functions.
Advanced calculus techniques are reviewed.