Schedule, syllabus and examination date

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Course content

Introduction to classical computability theory with emphasis on relative computability, degrees of unsolvability and on applications to computable analysis and theoretical computer science.

Learning outcome

Based on the primitive recursive functions and the µ-operator, the computable functions and relations over the natural numbers are introduced. The basic theorems concerning the partial computable functions and the computable and semicomputable sets are proved.
Various classical approaches to degrees of non-computable functions and sets are studied. Towards the end we will see how classical computability is used for investigating computability phenomena in analysis and topology and how alternative approaches to computability have applications in theoretical computer science.

Admission

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Overlapping courses

5 credits with MA380.

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

Teaching

3 hours per week throughout the semester.

Examination

One compulsory assignment needs to be passed. Final oral exam at the end of the semester (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 scale from A to F, where A is the best grade and F is a fail. 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

Master

Teaching

Autumn 2010

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

Examination

Autumn 2010

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.