Course Title : Applied Algebra

Code 90310
Course Year 3rd year
Term 2nd term
Class day & Period
Location
Credits 2
Restriction No Restriction
Lecture Form(s) Lecture
Language
Instructor Tsujimoto

Course Description

An introduction with application to basic algebra in informatics.

Grading

Evaluation depends mainly on marks of examination, but marks of exercises are taken into account when needed.

Course Goals

To understand basic ideas and some applications of algebras (mainly group theory).

Course Topics

Theme Class number of times Description
Introduction to group theory 2 Definition and examples of group: symmetric group, permutation group, cyclic group, general linear group and so on.
Structure of groups 4 subgroup, coset, normal subgroup, quotient group, the isomorphism theorems.
Symmetric group and enumeration problem 3 Action of the symmetric group on a finite set. Enumeration problem.
Group representation 3 Groups in terms of linear transformations of vector space.

Textbook

Textbook(supplemental)

T. Hiramatsu: Joho no suri oyo daisugaku (Shokabo)

Prerequisite(s)

Linear algebra

Web Sites

Additional Information