Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

After the course the student will be able to

-understand basic algebraic structures and their key properties and differencies,

-perform related arithmetics

-master and apply different proof techniques.

Credits: 5

Schedule: 11.01.2022 - 23.02.2022

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Kaie Kubjas

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content
  • valid for whole curriculum period:

    Groups, group homomorphisms and isomorphisms, rings, ideals, integral domains, ring homomorphisms and isomorphisms, polynomials, fields.

Assessment Methods and Criteria
  • valid for whole curriculum period:

    Lectures, homework, exam.

Workload
  • valid for whole curriculum period:

    24+12 (4+2) contact hours plus independent work. 

DETAILS

Study Material
  • valid for whole curriculum period:

    Abstract Algebra: Introduction to Groups, Rings and Fields with Applications, 2nd Edition (or some other basic abstract algebra book that covers the course topics).

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information
  • valid for whole curriculum period:

    Teaching Period:

    2020-2021 Spring III

    2021-2022 Spring III

    Course Homepage: https://mycourses.aalto.fi/course/search.php?search=MS-C1081

    Registration for Courses: In the academic year 2021-2022, registration for courses will take place on Sisu (sisu.aalto.fi) instead of WebOodi.