Please note! Course description is confirmed for two academic years (1.8.2018-31.7.2020), 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: 12.01.2021 - 24.02.2021

Teacher in charge (valid 01.08.2020-31.07.2022): Camilla Hollanti

Teacher in charge (applies in this implementation): Camilla Hollanti

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

CEFR level (applies in this implementation):

Language of instruction and studies (valid 01.08.2020-31.07.2022):

Teaching language: English

Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content
  • Valid 01.08.2020-31.07.2022:

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

Assessment Methods and Criteria
  • Valid 01.08.2020-31.07.2022:

    Lectures, homework, exam.

Workload
  • Valid 01.08.2020-31.07.2022:

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

DETAILS

Study Material
  • Valid 01.08.2020-31.07.2022:

    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
  • Valid 01.08.2020-31.07.2022:

    Substitutes the courses Mat-1.3081 Algebra I and MS-C1080 Introduction to abstract algebra.

Prerequisites
  • Valid 01.08.2020-31.07.2022:

    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-A04XX 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).

FURTHER INFORMATION

Description

Registration and further information