COMPUTATIONAL MATHEMATICS (4 SCU)

Learning Outcomes:

Upon successful completion of this course, students are expected to be able to aggregate quantities using methods of integration, and analyze dynamic models formulated as differential equations; linearize nonlinear models; formulate linear models in a compact notation, manipulate them in an efficient manner, and solve linear equations algorithmically using the theory on linear algebra; describe and manipulate vector spaces, subspaces, and their bases; and use appropriate and relevant, fundamental, and applied mathematical and statistical knowledge, methodologies, and modern computational tools.

Topics:

This course involves the study of methods of computing numerical data. Topics covered in this course include interpolations, approximations, numerical differentiation, and integration techniques, and numerical solutions of ordinary and partial differential equations. It also introduces some key ideas and techniques associated with the numerical solution of differential equations, ranging from theoretical questions about the accuracy of finite difference schemes and the efficiency of algorithms, until its implementation in computer codes.

Pre-requisite(s): None