Program Overview

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Program Details

The program details are as follows:

Course Information

Course Description

The course is titled "Algebra 2 (Alg2)" and is part of the Bachelor's program in Mathematics.

Course Content

The course covers the following topics:

• Ringe, legemer, homomorfier, idealer, kvotientringe, brøkringe
• Faktorisering i kommutative ringe, hovedidealområder, Euklidiske ringe
• Polynomiumsringe, faktorisering i polynomiumsringe, irreducibilitet
• Moduler, homomorfier, eksakte følger (if time allows)

Learning Objectives

Upon completion of the course, students are expected to:

• Demonstrate an understanding of fundamental mathematical concepts and theories
• Follow arguments presented in proofs
• Formulate and reproduce central definitions, results, and proofs
• Argue with central abstract concepts
• Apply central results and methods to solve concrete problems and tasks

Competencies

Students are expected to relate the course content to previous algebra courses.

Prerequisites

The recommended academic prerequisites for the course are Algebra 1 (Alg1) or equivalent.

Teaching Methods

The course consists of 5 hours of lectures and 4 hours of exercises per week for 7 weeks.

Workload

The estimated workload for the course is:

• Category: Lectures (35 hours)
• Preparation (estimated): 142 hours
• Theoretical exercises: 28 hours
• Examination: 1 hour
• Total: 206 hours

Feedback

Students receive oral feedback from the instructor and peers through active participation in exercises and discussion sessions.

Examination

The examination is a 30-minute oral exam with 30 minutes of preparation time. All aids are allowed during preparation, but only a piece of paper with key words can be brought into the examination room.

Assessment

The assessment is based on a 7-point scale with external censorship. The re-examination is the same as the ordinary examination.

Criteria for Assessment

Students must demonstrate that they meet the course's learning objectives.

Course Information

• Language: Danish
• Course code: NMAA07005U
• Points: 7.5 ECTS
• Level: Bachelor
• Duration: 1 block
• Placement: Block 3
• Schedule group: C
• Course capacity: No limitation, unless enrolled during the late enrollment period or as a merit or single-course student.

Study Board

The study board for the course is the Study Board for Mathematics and Computer Science.

Offering Institute

The course is offered by the Department of Mathematical Sciences.

Offering Faculty

The course is offered by the Faculty of Science.

Course Responsible

The course responsible is Henrik Granau Holm.