NMTH 6201 Ordinary Differential Equations (3 sem. cr.)
This course is a study of the applications, methods of solution, and basic theory of ordinary differential equations (ODE). Topics include classification of differential equations (e.g., order, linearity); solution of linear, exact, separable, and homogenous first-order ODE; numerical methods for solving ODE; solution of second-order and higher-order linear ODE with constant coefficients; series solutions of linear ODE with variable coefficients; Laplace transform methods; solution of systems of linear ODE; and qualitative analysis of nonlinear ODE.

 

NMTH 6701 Probability and Statistics for Scientists and Engineers (3 sem. cr.)
The use of probability models and statistical methods for analyzing data has become common practice in virtually all scientific disciplines. This course provides a comprehensive introduction to those models and methods most likely to be encountered and used by students in their careers in engineering and the natural sciences. Topics include basic concepts and rules of probability; random variables; probability distributions; expectation and variance; sampling and sampling distributions; statistical inference estimation; tests of hypothesis, correlation, and regression; and analysis of variance.