Algebra I 代数学 I
Algebra I 代数学 I
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Course Description
Course Description
Introduction to modern algebra. Includes group theory and ring theory. One period of lecture and two periods of recitation weekly. Prerequisite: Linear Algebra II.
Recommended to be taken after BASIC CONCEPTS IN MATHEMATICS I.
現代代数学の基礎を学ぶ。群論，環論など。 毎週講義1時限，演習2時限。線形代数学 II を既修のこと。
さらに数学通論 I の既修が望ましい。
Contents of Lectures 29 Lectures / 13 Videos
April 9 Lecture 1. Groups
April 9 Lecture 1. Groups
April 11 Lecture 2. Elementary Properties + Recitation
April 11 Lecture 2. Elementary Properties + Recitation
April 13 Recitation of Ex. 2 (Volunteers)
April 13 Recitation of Ex. 2 (Volunteers)
April 16 Lecture 3. Finite Groups; Subgroups
April 16 Lecture 3. Finite Groups; Subgroups
April 18 Recitation of Ex. 3 (Volunteers)
April 18 Recitation of Ex. 3 (Volunteers)
April 20 Lecture 4. Cyclic Groups
April 20 Lecture 4. Cyclic Groups
April 27 Lecture 5. Permutation Groups
April 27 Lecture 5. Permutation Groups
May 2 Recitation of Ex. 5 (Volunteers)
May 2 Recitation of Ex. 5 (Volunteers)
May 4 Lecture 6. Isomorphisms
May 4 Lecture 6. Isomorphisms
May 9 Lecture 7. Cosets and Lagrange’s Theorem
May 9 Lecture 7. Cosets and Lagrange’s Theorem
May 11 Recitation of Ex. 7 (Volunteers)
May 11 Recitation of Ex. 7 (Volunteers)
May 14 Lecture 8. External Direct Products
May 14 Lecture 8. External Direct Products
May 21 Recitation of Supplements 5-8
May 21 Recitation of Supplements 5-8
May 23 Lecture 9. Normal Subgroups and Factor Groups
May 23 Lecture 9. Normal Subgroups and Factor Groups
May 25 Recitation of Ex. 9
May 25 Recitation of Ex. 9
May 28 Lecture 10. Group Homomorphisms
May 28 Lecture 10. Group Homomorphisms
May 30 Recitation of Ex. 10
May 30 Recitation of Ex. 10
June 1 Lecture 11. Fund. Thm of Finite Abelian Groups
June 1 Lecture 11. Fund. Thm of Finite Abelian Groups
June 4 Recitation of Ex. 11 (Volunteers)
June 4 Recitation of Ex. 11 (Volunteers)
June 6 Recitation of Supplements 9-11
June 6 Recitation of Supplements 9-11
June 11 Lecture 12. Sylow Theorems
June 11 Lecture 12. Sylow Theorems
June 13 Recitation of Ex. 12
June 13 Recitation of Ex. 12
June 15 Review and Recitation
June 15 Review and Recitation
June 18 Review and Recitation
June 18 Review and Recitation
Old-Final
June 20 Final
Textbook
Joseph A. Gallian, Contemporary Abstract Algebra — 8th Edition –
International Version — Paperbacks
センゲージ・ラーニング
ISBN-13: 978-1133606758
Instructor: SUZUKI‚ Hiroshi 鈴木寛（ ICU Professor Emeritus 国際基督教大学 名誉教授） | Language of Instruction: E
Major: Mathematics 数学 | Course ID: MTH331 | Course Schedule: 2/M, 2/W, 2/F | Update: 2018.04.23 Category: Major Courses
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