Applied Algebra

Numbering Code U-ENG29 39031 LJ10
U-ENG29 39031 LJ55
Year/Term 2021 ・ Second semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Mon.2
Instructor name TSUJIMOTO SATOSHI (Graduate School of Informatics Associate Professor)
Outline and Purpose of the Course An introduction with application to basic algebra in informatics.
Course Goals To understand basic ideas and some applications of algebras (mainly group theory).
Schedule and Contents Introduction to group theory,2-3times,Definition and examples of group: symmetric group, permutation group, cyclic group, general linear group and so on.
Structure of groups,4-5times,Subgroup, coset, normal subgroup, quotient group, the isomorphism theorems.
Symmetric group and enumeration problem,3-4times,Action of the symmetric group on a finite set. Enumeration problem.
Group representation,3-4times,Groups in terms of linear transformations of vector space.
Summary and assessment,1time,Summary and supplement of this course. Measure the progress of students in acquiring knowledge and skills.
Evaluation Methods and Policy Evaluation depends mainly on marks of examination, but marks of exercises are taken into account when needed.
Course Requirements Linear algebra
References, etc. T. Hiramatsu: Joho no suri oyo daisugaku (Shokabo) isbn{}{4785315040}
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