E261A: Basic Modeling and Simulation Tools for Industrial Research Applications

To enable students to model and simulate industrial systems- Coverage of the modeling and simulation of modern engineering systems and their synthesis. The goal of this course is to provide students with the general multipurpose tools needed for successful industrial research. The course will help students develop intuition about modeling physical systems and strengths and weaknesses of a variety of numerical methods. Instructor’s class notes will be used. Some commonly recurring mathematical tools needed are • Modeling of complex physical systems,

• Discretization of differential equations,

• Formulation of optimal systems,

• Gradient methods for convex optimization and

• Machine learning algorithms for nonconvex optimization