Course information
Learning outcomes
After the course the student will be able to
-understand basic algebraic structures and their key properties and differencies,
-perform algebraic computations within these structures,
-master and apply different proof techniques.
Content
Groups, group homomorphisms and isomorphisms, rings, ideals, integral domains, ring homomorphisms and isomorphisms, polynomials, fields.
Teacher
Kaie Kubjas
Study material
See syllabus for each edition.
Workload
Typically 24+12 (4+2) contact hours plus independent work.
Prerequisites
Recommended prerequisites:
The student should be familiar with basic proof techniques, sets, functions, and relations, especially modular arithmetic and the congruence relation. These are covered on the course MS-A040X Foundations of discrete mathematics, and typically in any standard book on abstract algebra. Finnish-speaking students can also looks at the lecture notes: Metsänkylä-Näätänen, Algebra, sections 0, I, II, matematiikkalehtisolmu.fi/2010/algebra.pdf ).
Evaluation
See syllabus for each edition.
Teaching time and location
The teaching time and the location of the course can be found in the Sisu information system.
- The link leads to Completion methods tab of the course page
- From the top of the page (Version drop-down menu), check that the academic year 2026-2027 is selected
- From the blue bar, choose the right teaching and open the Groups and study events tab to see the teaching time and location of the course. To see exam times, click Exam.
Exam instructions at the Open University
The teacher has four (4) weeks to grade the exam submissions starting from the exam date.
Other information
Equivalences to other courses:
Substitutes the courses Mat-1.3081 Algebra I and MS-C1080 Introduction to abstract algebra.
Online learning environment for the course
The MyCourses online learning environment is a tool for both students and teachers for communication and managing everyday course work. You need an Aalto User ID to log in to the course's MyCourses workspace and participate in teaching.
Digital workspace of the course:
MyCourses
More details on completing the course will be available at MyCourses closer to the start of the course.
Registration and course fee
Registration for Open University courses is done via the link below:
Course registration
Registration for this course starts on 14.12.2026 at 9.00
Registration for this course ends on 18.1.2027 at 23.59
It is not possible to register before the registration period has started or after it has ended.
The number of participants is limited to 5.
This course is organized by the Aalto University School of Science.
The course fee is paid upon registration for each course at a time and it is binding. Familiarize yourself with registration and payment rules as well as other guidelines for students:
Registration, payments and rules
