Algebra
Summary
This is an introduction to modern algebra: groups, rings and fields.
Content
Integer numbers, Bezout's theorem. Groups, dihedral and symmetric groups. General structure results. Classification of finite abelian groups. Rings, ideals. Polynomial rings. Integral domains and Euclidean domains. Finite fields.
Learning Prerequisites
Required courses
Linear algebra
Learning Outcomes
By the end of the course, the student must be able to:
- Detect properties of algebraic objects
- Analyze finite groups
- Formulate structure of a finite abelian group in terms of cyclic groups
- Analyze structure of a ring, in particular polynomial rings
Assessment methods
Written homework assignment (15% of the grade)
Written exam (85 % of the grade)
Supervision
| Forum | Yes |
In the programs
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Algebra
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Algebra
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Algebra
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Algebra
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Algebra
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
Reference week
| Mo | Tu | We | Th | Fr | |
| 8-9 | |||||
| 9-10 | |||||
| 10-11 | |||||
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| 21-22 |
Légendes:
Lecture
Exercise, TP
Project, other