SCI 211 Mathematical Methods

Content

SCI211 is the second course in the Mathematics track. The course starts with a detailed discussion on vector differential calculus. This topic continues the discussion on linear algebra. The nabla operator will be introduced and formalizes the concept of vector differentiation. Vector integral calculus is the next topic in this course combining the techniques for integration studied in the first mathematics course in this track and the knowledge on vectors gained so far. The course continues with addressing Fourier Transforms and application of these techniques to partial differential equations, specifically the wave equation and the heat equation. This course limits the discussion to the one-dimensional forms of these equations. The third and final topic of this course is complex analysis. Complex numbers, introduced in SCI111, are reviewed and this knowledge is extended with the concepts of algebraic functions and conformal mapping. These techniques are used to study complex integration, which will finally be used to complex analysis applied to potential theory. 

Instructor

Dr. Ir. Richard van den Doel

Track

Mathematics

Period

Spring / 2009

Course Material

• Advanced Engineering Mathematics, 9th edition (2007), written by Erwin Kreyszig and published by John Wiley and Sons, Inc., ISBN-number is 0-471-72897-7.

Prerequisites

The following course is required in order to take this course:

• SCI 111 Mathematical Ideas and Methods in Contexts

Required for

This course is required in order to take the following course:

• SCI 311 Signals and Systems
• SCI 312 Advanced Mathematics