Algebra 3 (Alg3)

Course content

Field extensions, algebraic extensions, splitting fields, separable polynomials and extensions, cyclotomic polynomials and extensions, Galois theory, composite fields, Galois groups of polynomials, abelian extensions over Q, solvable groups, radical extensions and solvability via root extractions, finite fields, quadratic reciprocity.

Education

MSc Programme in Mathematics

MSc Programme in Mathematics with a minor subject

Learning outcome

Knowledge: After completing the course the student will know the subjects mentioned in the description of the content.

Skills: At the end of the course the student is expected to be able to follow and reproduce arguments at a high, abstract level corresponding to the contents of the course.

Competencies: At the end of the course the student is expected to be able to apply abstract results from the curriculum to the solution of concrete problems of moderate difficulty.

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

Algebra 2 (Alg2).
Advanced Vector Spaces (AdVec).

Academic qualifications equivalent to a BSc degree is recommended. Additionally it is recommended that students have written their Bachelor project before taking the course.

Written
Oral
Individual
Continuous feedback during the course of the semester
ECTS
7,5 ECTS
Type of assessment
Oral examination, 30 minutes (30 minutes preparation)
Aid
Written aids allowed
Marking scale
7-point grading scale
Censorship form
External censorship
Re-exam

Same as ordinary exam

Criteria for exam assessment

The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.

Single subject courses (day)

  • Category
  • Hours
  • Lectures
  • 35
  • Preparation
  • 73
  • Theory exercises
  • 28
  • Exam Preparation
  • 69
  • Exam
  • 1
  • English
  • 206

Kursusinformation

Language
English
Course number
NMAA05014U
ECTS
7,5 ECTS
Programme level
Full Degree Master
Duration

1 block

Placement
Block 1
Schedulegroup
B
Capacity
No limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
Studyboard
Study Board of Mathematics and Computer Science
Contracting department
  • Department of Mathematical Sciences
Contracting faculty
  • Faculty of Science
Course Coordinator
  • Ian Kiming   (6-7573777378714a776b7e7238757f386e75)
Phone +35 32 07 58, office 04.2.21
Saved on the 14-02-2024

Are you BA- or KA-student?

Are you bachelor- or kandidat-student, then find the course in the course catalog for students:

Courseinformation of students