Welcome to the course SF1678: Groups and Rings!

We are glad to welcome you to SF1678: Groups and Rings. During this course, you will learn about mathematical structures such as groups and rings. In Period 3 we will develop the theory of groups, and in Period 4 we will dive into rings and fields.

Remember that you must have registered to maintain access to your courses after the web registration period.

We hope that you, by the end of this course, will be able to carry out abstract reasoning about algebraic structures and recognize and use such structures in engineering and science subjects and in your forthcoming work.

Course content

In the Syllabus, you can find a link to the Course PM and the course's intended learning outcomes (ILOs).

Here is a course plan that includes topics for the lectures and recommended exercises for the tutorials.

Prerequisites

SF1672 Linear algebra or equivalent, and preferably SF1681 Linear algebra, advanced course.

Literature

The lecture will be (freely) based on Bosch: Algebra. This book is freely available via the KTH library (also online).

In earlier years, we used Judson's "Abstract Algebra: Theory and Applications" (edition 2021) and Frayleigh's "A first course in abstract algebra".

Examination

The examination is based on homework and a final written exam. A collection of earlier exams is found here. Information about registration to exam see https://www.kth.se/student/schema/tenta-och-omtentaperioder-samt-anmalningstider-1.278515Länkar till en externa sida.

Homework sets

The course will have four sets of homework problems, made available under Assignments.

Solutions are handed in electronically through Canvas, submitted as a pdf-file obtained from a LaTeX source. You are allowed to discuss the problems with other students, but you need to write down your own solution.

You can find your grades on submitted assignments under Grades.

Each homework set I, II, III, IV corresponds to the problem A1, A2, A3, A4 on the final exam, respectively. Each homework set and the corresponding problem on the exam can together give at most 4 points. The points gained from the homework are valid only through the present year.

The final exam

The written exam has two parts, A and B. Part A consists of 16 points and corresponds to the home assignments. Part B consists of 20 points. The grades E, D, C, B, A require at least 16, 20, 24, 28, 32 points, respectively. Exactly 15 points give the intermediate grade Fx. The grade requirements are preliminary.

Support for students with disabilities

Students with disabilities may have the right to certain compensatory support for example during examination. KTH has coordinators for students with disabilities, FunkaLänkar till en externa sida., who deals with issues relating to functional disabilities. You should turn to Funka at funka@kth.se for information about support.

Contact information

Answers to administrative questions, for example course registration, application to examinations, re-examinations and similar, can be found at the web pages of the Student OfficeLänkar till en externa sida.. You can contact the Student Office at studentoffice@math.kth.se.

Lectures: Kathlén Kohn, email: kathlen@kth.se

Tutorials: Elmo Vuorenmaa, email: elmov@kth.se

Kursnämd:
Felix Meli, email: felixnm@kth.se
Sebastian Apelgren, email: sebape@kth.se