Course content

Introduction to model theory and continuation of axiomatic set theory and computability theory. The content is flexible.

Learning outcome

In model theory, the student will learn about the concepts of quantifier elimination and element types and of the applications of these concepts. Finite model theory with the 0-1-law is one option.
In axiomatic set theory, the student will be introduced to the method of forcing. In computability theory the concept of computability is extended to other structures than the natural numbers and sets of words over a finite alphabet.

Admission

PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Overlapping courses

5 credits with MA360 and MA380.

* For information about the potential partial overlap with other courses, contact the Department.

Teaching

3 hours per week throughout the semester.

Examination

One mandatory exam needs to be passed within given deadlines. Final oral exam (counts 100% of the grade).

Rules for compulsory assignments at the Department of Mathematics.

Examination support material

No examination support material is allowed.

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Evaluation

The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course

Credits

10

Level

PhD

Teaching

Taught according to demand and resources. If you want to attend the course, please send an e-mail to studieinfo@math.uio.no.

Examination

According to demand and resources.

Teaching language

English

The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian.