MM510: Rings and Number Theory (5 ECTS)
STADS: 13001001Level
Bachelor course
Teaching period
The course is offered in the autumn semester.
2nd quarter.
Teacher responsible
Email: svensson@imada.sdu.dkTimetable
| Group | Type | Day | Time | Classroom | Weeks | Comment |
|---|---|---|---|---|---|---|
| Common | I | Monday | 14-16 | U26 | 45-51 | |
| Common | I | Tuesday | 16-18 | U9 | 46-47 | |
| Common | I | Wednesday | 12-14 | U9 | 45,49-51 | |
| Common | I | Thursday | 14-16 | U20 | 48 | |
| S1 | TE | Tuesday | 12-14 | U9 | 45-51 | |
| S1 | TE | Friday | 10-11 | U9 | 45-51 |
Show personal time table for this course.
Revison of timetable:
: Forelæsninger fredag flyttet.
Comment:
Ubegrænset deltagerantal
Prerequisites:
None
Academic preconditions:
Basic notions from linear algebra must be known.
Course introduction
To introduce basic notions and arguments from elementary Number Theory and Ring Theory.
Qualifications
Having completed the course successfully, the students can be expected to
- be conversant with basics of abstract, axiomatic reasoning.
- understand the fundamentals concerning (whole, rational, real and complex) numbers and their properties.
- command basic algebraic methods in mathematics.
Expected learning outcome
At the end of the course, the student will be able to:
• reproduce definitions and results within the syllabus of the course
• apply the theory to solve problems within the socpe of the syllabus of the course
• argue in a mathematically correct and stringent way the steps in the solution of given problems
• supply stringent and complete proofs for statements within the syllabus of the course
• apply mathematical terminology and symbols from set theory, function theory, logic, number theory and ring theory
• identify mathematical structures within the scope of the syllabus of the course in specific examples
Subject overview
The integers, congruence and modular arithmetic, rings, polynomial rings, congruence in polynomial rings, ideals and quotient rings, integral domains and factorization, fields and field extensions.
Literature
- Meddeles ved kursets start.
Website
This course uses e-learn (blackboard).
Prerequisites for participating in the exam
None
Assessment and marking:
Written exam, eksternal examiner, marks according to the 7-scale.
Reexamination after 4th quarter.
Expected working hours
The teaching method is based on three phase model.
Forelæsninger (28 timer) og øvelser (21 timer).
Educational activities
Language
This course is taught in Danish.
Course enrollment
See deadline of enrolment.
Tuition fees for single courses
See fees for single courses.
