Program Overview

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Program Details

The program details are as follows:

Program Description

The program is titled Algebra 1 (Alg1) and is part of the Bachelor's program in Physics and Mathematics.

Program Content

The program covers the following topics:

• Groups, dieder groups, symmetric and alternating groups, matrix groups, homomorphisms and isomorphisms, subgroups, cyclic groups and cyclic subgroups, generated subgroups, side classes, normal subgroups, factor groups, isomorphism theorems, group actions, Sylow's theorems, direct products, finitely generated abelian groups.

Learning Objectives

The learning objectives of the program are:

• Knowledge: Explain the definitions of the concepts covered in the program and operate safely with them. Explain the academic content described in the program in an insightful manner.
• Skills: Solve problems within the program's subject area. Create proofs for theorems within the program's subject area.
• Competencies: Apply abstract results within the program's content, including Sylow's theorems and the structure theorem for finitely generated abelian groups, to concrete problems, and argue with simple abstract concepts within group theory.

Recommended Prerequisites

The recommended prerequisites for the program are:

• Discrete mathematical methods (DisMat) and Linear algebra (LinAlg) or equivalent.

Teaching Methods

The teaching methods used in the program are:

• 2+3 hours of lectures and 2+3 hours of exercises per week for 7 weeks.

Workload

The workload for the program is:

• Category:
  • Lectures: 35 hours
  • Preparation (estimated): 127 hours
  • Theoretical exercises: 35 hours
  • Supervision: 6 hours
  • Exam: 3 hours
  • Total: 206 hours

Feedback

The feedback methods used in the program are:

• Written
• Oral
• Individual
• Ongoing feedback during the teaching period
• Written feedback on voluntary submissions
• Oral, individual, and ongoing feedback in connection with voluntary submissions, exercises, and lectures

Examination

The examination for the program is:

• 7.5 ECTS points
• Form: Written on-site exam, 3 hours with supervision
• Aids: Written aids allowed
• Assessment form: 7-point scale
• Censorship form: External censorship
• Re-examination: Oral exam of approximately 1/2 hour's duration without preparation and without aids, answering questions corresponding to typical written tasks

Course Information

The course information is as follows:

• Language: Danish
• Course code: NMAA06066U
• Points: 7.5 ECTS
• Level: Bachelor
• Duration: 1 block
• Placement: Block 1
• Schedule group: A (Tuesday 8-12 + Thursday 8-17)
• Course capacity: No limit – unless you sign up in the late registration period (BA and KA) or as a merit or single-course student

Study Board

The study board for the program is:

• Study Board for Mathematics and Computer Science

Offering Institute

The offering institute for the program is:

• Department of Mathematical Sciences

Offering Faculty

The offering faculty for the program is:

• Faculty of Science

Course Responsible

The course responsible for the program is:

• Ian Kiming

Timetable

The timetable for the program is:

• 25E-B1-1; Hold 01;; Algebra 1 (Alg1)
• 25E-B1-1; Hold 02;; Algebra 1 (Alg1)
• 25E-B1-1; Hold 03;; Algebra 1 (Alg1)