Topics in Mathematics and its Engineering Applications (II)

Keizo MIYAHARA (Center for International Education and Exchange)

Capacity
   N/A

Cource Objective
   By the end of this introductory undergraduate-level course, successful students should be able to:
   demonstrate ones' understanding of the importance of mathematics in engineering field;
   explain the key concepts of the topics introduced in the class;
   continue further self-study of the topics with own interest.

Requirement / Prerequisite
   No prerequisite subjects in university-level classes.
   Basic knowledge of the following fields is preferable, but not required:
     proving methods (ex. induction, contradiction);
     linear algebra (ex. matrix multiplication);
     discrete math (ex. set theory, mapping, binary operator).

Course Content
   This course would focus on the topics from group theory, which is one of the active mathematics subfields.
   The course contents are introductory / undergraduate-level.

Class Plan
   This course covers the topics listed below:
     Introduction: Fundamental concepts for studying group theory;
     Definition and principle characteristics;
     Classes of group;
     Homeomorphism and Isomorphism;
     Coset, Direct product;
     Examples of groups important in engineering.

Textbooks
   Course materials will be distributed in the class and/or via CLE.
   No specific books are required for this course.
  
   For self-study of group theory, the following books are recommended:
   "Group theory I" and "Group theory II," Michio Suzuki, Springer-Verlag.
  
   For engineering mathematics basics the following books are recommended, although these are not required for this course:
   "Introductory Mathematics for Engineering Applications," Kuldip S. Rattan, Nathan W. Klingbeil, John Wiley & Sons, Inc. New York;
   "Advanced Engineering Mathematics," Erwin Kreyszig, John Wiley & Sons, Inc. New York.

Grading Policy

• Individual assignment 50%
• Group work 30%
• Class participation 20%