Computer software will be used to aid in understanding these topics. An introduction to the principles and methods for solving first order, first degree differential equations, and higher order linear differential equations. Includes a study of the Laplace transform and its application to the solution of differential equations. Also included is an introduction to Fourier series. Existence and uniqueness theorems for ODEs are also discussed.
Topics covered include counting techniques, laws of probability, and conditional probability.
Families of discrete and continuous random variables are considered. The central limit theorem is emphasized along with an introduction to sampling theory. Proof techniques, mathematical induction and principle of diagonalization. Set operations, relations, functions. Introduction to graphs and trees and their applications to computer science.