First order differential equations, linear differential equations with constant coefficients, and applications, Laplace transforms, systems of linear...
A survey of important mathematical techniques used to model processes in a variety of fields. Topics include multivariable calculus and optimization,...
The purpose of the course is to provide an introduction to abstract algebraic systems, and to illustrate the concepts with applications to...
The course will discuss the application of linear differential equations with constant coefficients, and systems of linear equations within the realm...
Review of multiple integrals. Differentiation and integration of vectors; line, surface and volume integrals; gradient, divergence and curl;...
Complex arithmetic, complex plane. Differentiation, analytic functions. Elementary functions. Elementary functions. Contour integration, Cauchy's...
Introduction to ordinary differential equations and their applications to the physical and social sciences. Topics may include: numerical solutions,...
Topics include models for dynamical systems, classification of differential equations, methods for solving differential equations, variation of...
An introductory course on the effective use of computers in science and engineering. Topics include: solving linear and nonlinear equations,...
Limits, Continuity, C', and linear approximations of functions of several variables. Multiple integrals and Jacobians, Line and surface integrals. The...
Taylor's theorem, optimization, implicit and inverse function theorems. Elementary topology of Euclidean spaces. Sequences and series of numbers and...
Complex numbers, analytic functions, harmonic functions. Cauchy's theorem. Taylor and Laurent series. Calculus of residues. Rouche's theorem....
Modeling control systems, linearization around an equilibrium point. Block diagrams, impulse response, transfer function, frequency response....
This laboratory introduces the use of motion control devices such as optical encoders, pulse width amplifiers and armature controlled DC servo motors....
Motivation for signal spaces. Banach and Hilbert spaces of continuous- and discrete-time signals. Spaces of continuous and not necessarily continuous...
Linear input/output systems and their stability.
Formulation and solution of some industrial and business problems using mathematical models. Review of probability. Markov chains and applications to...