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This course is no longer available, see the current course list.

MAT4610 - Axiomatic set theory

Facts about this course:
Credits:15
Level:Advanced course at master's level
Teaching semester:

This version of the course has been given for the last time. Parts of it may be found in MAT4640 - Axiomatic Set Theory and MAT9650 - Advanced topics in logic.

Examination semester:
Language of instruction: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.

Administrated by:Department of Mathematics
Detailed course information - Current and previous semesters:

Course content

An introduction to Zermelo-Fraenkel set theory, constructible sets, forcing.

Learning outcomes

The student will be acquainted with axiomatic set theory and two basic methods for proving independence results in mathematics.

Admission

Students at UiO must apply for courses in StudentWeb.

International applicants, if you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures for international applicants.

Prerequisites

Recommended prior knowledge

MAT-INF3600 - Mathematical logic

Overlap

15 credits against MAT9610 - Axiomatic set theory.

15 credits with MA360.

*The information about overlaps is not complete. Contact the Department for more information if necessary.

Teaching

4 hours of lectures per week.

Exam information

One compulsory assignment needs to be passed within given deadlines to be allowed to take the final exam. Final mark based on written examination at the end of the semester.

Oral exam. Letter grading (A-F).

Rules for compulsory assignments at the Department of Mathematics

Possibility of make-up exams and re-takes

Students who due to illness or other valid reason of absence were unable to sit for their final exams may apply for participation in deferred examinations. Deferred examinations are arranged either later in the same semester or early in the semester following the exam in question. Documentation of valid reasons for absence from the regular exam must be submitted upon application to participate in deferred examinations.

Students who have failed an exam, who withdraw during an exam, and students who wish to retake an exam to achieve a better grade may not participate in deferred exams, but may retake the exam when it is regularly scheduled.

Information about deferred and new examination (also called repeat examination) is found here

More information about examination at the Faculty of Mathematics and Natural Sciences can be found here

Withdrawing from exams and limits on re-takes

A student can sit for this exam up to 3 times. If a student wishes to withdraw from the exam, s/he must do this in StudentWeb at least two weeks prior to the first day of the exam. Failure to do so will be counted as one of the three opportunities to sit for the exam.

Exam options for students with special needs

Students may apply for access to alternative exam resources or exam forms on the basis of chronic illness and/or special needs that create a marked disadvantage to other students in the exam situation. Mothers who are breastfeeding may apply for extra time to complete the exam.

Evaluation of this course

Feedback from our students is essential to us in our efforts to ensure and further improve the high quality of our programmes and courses. As a student at the University of Oslo you will therefore be asked to participate in various types of evaluation of our courses, facilities and services. All courses are subject to continuous evaluation. At regular intervals we also ask students on a particular course to participate in a more comprehensive, in-depth evaluation of this course, a so called "periodic evaluation".

Contact us

Department of Mathematics

Visiting address: 
Niels Henrik Abel's building, Moltke Moes vei

Visiting hours: 
Monday-friday 09:00-14:30

Postal address: 
P.O.box 1053, Blindern
NO-0316 Oslo

Phone: +47 22 85 58 86 / +47 22 85 58 88
Fax: +47 22 85 43 49
E-mail: 
Web: http://www.mn.uio.no/math/english/