Computer software will be used to aid in understanding these topics. An introduction to the principles and methods for solving first order 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. This course is a study of the basic concepts and methods of probability and an introduction to statistics. Topics covered include the fundamental concepts of probability and families of discrete and continuous random variables. Also included are the central limit theorem, and estimation and tests of hypotheses of parameters for a single population.