Algebra III

Academic unit or major

Undergraduate major in Mathematics

Instructor(s)

Shohei Ma

Class Format

Lecture (Face-to-face)

Media-enhanced courses

-

Day of week/Period
(Classrooms)

5-6 Tue / 5-6 Fri

Class

-

Course Code

MTH.A331

Number of credits

200

Course offered

2024

Offered quarter

3Q

Syllabus updated

Mar 14, 2025

Language

Japanese

Syllabus

Course overview and goals

The main theme of this course is Field Theory, especially extension of fields entered around the Galois theory. This is basic when learning modern Mathematics.

Course description and aims

Understand various properties about filed extensions; understand the Galois correspondence; get familiar with classical examples of fields

Keywords

Fields, extension of fields, Galois groups

Competencies

• Specialist skills
• Intercultural skills
• Communication skills
• Critical thinking skills
• Practical and/or problem-solving skills

Class flow

Standard lecture course accompanied by discussion sessions

Course schedule/Objectives

Study advice (preparation and review)

preferred, but not duty

Textbook(s)

none in particular

Reference books, course materials, etc.

Serre "A course in Arithmetic"

Evaluation methods and criteria

By exams and reports. Details will be announced in the course.

Related courses

• MTH.A301 ： Algebra I
• MTH.A302 ： Algebra II

Prerequisites

Passion for Mathematics