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

MAT9610 - Axiomatic set theory

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

To participate in this course you must have an admission to a Ph.D.-programme at a Norwegian University or University College.

If you do not have an admission to the Ph.D.-Programme in Science at The Faculty of Mathematics and Natural Sciences at UiO, you have to apply for hospitantstatus (norwegian text) . For more information, please contact the Department.

Prerequisites

Formal prerequisites

None.

Recommended prior knowledge

MAT3600 - Mathematical logic/MAT4600 - Mathematical logic

Overlap

15 credits with MA360.

15 credits with MAT4610 - Axiomatic set theory.

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

Teaching

4 hours of lectures per week.

Exam information

Oral exam.

In addition, each phd student is expected to give a one hour oral presentation on a topic of relevance (chosen in cooperation with the lecturer). The presentation has to be approved by the lecturer for the student to be admitted to the final exam.

Assessment and grading

Students are awarded either a passing or a failing grade. Read more about the grading system .

Possibility of make-up exams and re-takes

Students who can document valid reasons for failing to attend their final exams within given deadlines may participate in deferred examinations. Deferred examinations are arranged either later in the same semester or early in the semester following the exam in question.

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".

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