Numbering Code	U-ENG29 39031 LJ55 U-ENG29 39031 LJ10	Year/Term	2022 ・ 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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