This course covers the solution of differential equations that arise from problems in engineering and science, with some numerical methods implemented in the Python programming language. Topics include first-order differential equations, mathematical models and numerical methods, linear equations of higher order, linear systems of differential equations, and nonlinear systems and phenomena.
This course introduces linear programming and its extensions to graduate students, with an emphasis on mathematical formulations, algorithms, and solutions to real-world problems. Specifically, it covers basic concepts, graphical solution for two-variable problems, simplex methods for at least three-variable problems, and other algorithms for special LP problems. In-class lectures and discussions are supplemented by computer hands-on sessions using Python.