# Syllabus 2011

IMPORTANT

Our syllabus can be seen at the website of KULASIS since 2019.

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## 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