This course is discontinued

Schedule, syllabus and examination date

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Course content

Introduction to Fourier analysis, Fourier series, introduction to analytic functions, conformal mappings, Moebius transformations, Cauchy`s theorem and formulas, Taylor and Laurent series, the maximum principle, isolated singular points, residue theory, and the argument principle.

Learning outcome

The course gives an introduction to basic, classical areas in mathematical analysis, and presents deep and beautiful results of central importance for mathematics, as well as for subjects like mechanics and physics.

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.

Prerequisites

Formal prerequisite knowledge

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

One of these:

  • Mathematics R1
  • Mathematics (S1+S2)

And and in addition one of these:

  • Mathematics (R1+R2)
  • Physics (1+2)
  • Chemistry (1+2)
  • Biology (1+2)
  • Information technology (1+2)
  • Geosciences (1+2)
  • Technology and theories of research (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies. Read more about special admission requirements (in Norwegian).

Recommended previous knowledge

MAT1100 - Calculus and MAT1110 - Calculus and linear algebra. It will be useful to have taken MAT2400 - Real Analysis, but this is not a prerequisite for the course.

Overlapping courses

5 credits with MA117.

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

Teaching

4 hours of lectures/exercises per week.

Examination

Two compulsory assignments need 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.


Rules for compulsory assignments at the Department of Mathematics (norwegian only).

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

This subject offers new examination in the beginning of the subsequent term for candidates who withdraw during an ordinary examination or fail an ordinary examination. Deferred examinations for students who due to illness or other valid reason of absence were unable to sit for their final exams will be arranged at the same time. (These valid reasons has to be documented within given deadlines.)

For general information about new and deferred examination, see
/studier/admin/eksamen/sykdom-utsatt/mn/index.html

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

Facts about this course

Credits

10

Level

Bachelor

Teaching

This version of the course will be held for the last time Autumn 2009. MAT2410 - Introduction to Complex Analysis will still be held.

Examination

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.