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MS-C1081 - Abstract algebra, 07.01.2020-20.02.2020

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Syllabus

General

  • General

    General

    Contents:

    The goal of this course is to teach about basic algebraic structures and their properties. In particular, the following topics will be covered:

    • groups and subgroups
    • group homomorphisms and isomorphisms 
    • rings and ideals
    • ring homomorphisms and isomorphisms
    • fields

    In this course, an emphasis is placed on proofs. After the course, the student should be able to master and use different proof techniques.

    Time:

    2019-20 Period III (6 weeks)

    • Lectures: Tuesdays and Thursdays 10:15-12:00 in Y313
    • Exercises (choose one group): 
      • Wednesdays 10:15-12:00 in Y347 (Miika Leinonen)
      • Fridays 14:15-16:00 in Y229a (Muhammad Ardiyansyah)

    Grading:

    50% exam + 50% homework solutions (5 best homework grades out of 6 are taken into account)

    Exam:

    The exam will be held on 20.02 during 9-12. Students are allowed to bring one A4 sheet handwritten on one side of the sheet to the exam.

    Exercises:

    There are weekly problem sets posted under "Assignments" in MyCourses. Solutions can be uploaded to MyCourses or returned on Tuesdays before the lecture.

    Study material:

    • Metsänkylä-Näätänen, Algebra (Chapters III-VI.2): https://matematiikkalehtisolmu.fi/2010/algebra.pdf (in Finnish)
    • Clive Reis, Stuart A. Rankin "Abstract Algebra: Introduction to Groups, Rings and Fields with Applications" (Chapters 5, 6 and 8)
    We will not follow one particular source, however, all essential material is included in any standard abstract algebra book or lecture notes (for example the ones above).

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  • Schools
    • School of Arts, Design, and Architecture (ARTS)
    • School of Business (BIZ)
    • School of Chemical Engineering (CHEM)
    • –sGuides for students (CHEM)
    • – Instructions for report writing (CHEM)
    • School of Electrical Engineering (ELEC)
    • School of Engineering (ENG)
    • School of Science (SCI)
    • Language Centre
    • Open University
    • Library
    • Aalto university pedagogical training program
    • UNI (exams)
    • Sandbox
  • CORONAVIRUS INFO
    • Koronavirus - tietoa opiskelijalle
    • Coronavirus - information for students
    • Coronavirus - information för studerande
    • Koronaviruksen vaikutus opiskeluun: kysymyksiä ja vastauksia
    • Effects of the coronavirus on studies: questions and answers
    • Coronaviruset och studierna: frågor och svar
    • Corona help for teachers
  • Service Links
    • MyCourses
    • - Instructions for Teachers
    • - Teacher book your online session with a specialist
    • - Digital tools for teaching
    • - Personal data protection instructions for teachers
    • - Instructions for Students
    • - Workspace for thesis supervision
    • WebOodi
    • Into portal for students
    • Courses.aalto.fi
    • Library Services
    • - Resourcesguides
    • - Imagoa / Open science and images
    • IT Services
    • Campus maps
    • - Search spaces and see opening hours
    • Restaurants in Otaniemi
    • ASU Aalto Student Union
    • Aalto Marketplace
  • ALLWELL?
    • Study Skills
    • Support for Studying
    • Starting Point of Wellbeing
    • About AllWell? study well-being questionnaire
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