Topics in Mathematics and its Engineering Applications

Keizo MIYAHARA (Center for International Education and Exchange)

Course Objective
   By the end of this undergraduate-level course, successful students should be able to:
     Demonstrate ones' understanding of the importance of engineering mathematics;
     Explain the key concepts of mathematics introduced in the class;
     Explorer "mathematics world" with own interest.

Requirement / Prerequisite
   Curiosity about mathematics/engineering

Course Content
   This course covers the following topics: Induction method, Complex number, Graph theory, Laplace transform. There are group works and individual projects over the topics.
   No former experience in mathematics/engineering classes is required.

Class Plan
   Introduction to engineering/mathematics;
   Induction method: proofing is believing;
   Complex number: strange but useful;
   Graph theory: essential for mobile phones;
   Laplace transform: computation helper;

* Detailed class plan would be announced at the class

Textbooks
   Handouts will be distributed. For engineering mathematics basics, although which is not required for this course, the following books are recommended (by John Wiley & Sons, Inc. New York):
     "Introduction to Engineering Math, Preliminary Edition," Kuldip S. Rattan, Nathan Klingbeil;
     "Introductory Mathematics for Engineering Applications," Kuldip S. Rattan, Nathan W. Klingbeil;
     "Advanced Engineering Mathematics," Erwin Kreyszig.

Grading Policy

• Group work 40%
• Individual assignment 40%
• Class participation 20%