MAT2410 - Introduction to Complex Analysis
Course description
Schedule, syllabus and examination date
Choose semester
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 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.
The examination in this course is not available for external candidates. Only students admitted to the course may sit for the examination.
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.
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
10 credits overlap with MAT2300 - Analysis II (discontinued)
5 credits with MA117. 9 credits with MA212. 9 credits with MA112.
*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.
Examination support material
No examination support material is allowed.
Language of examination
Students may, on subjects taught in Norwegian and the examination form is written exam, ask for the exam paper in Bokmål, Nynorsk or English. Closing date for registering the chosen examination language is September 1st for the fall semester and February 1st for the spring semester. Please view the web page of the Faculty of Mathematics and Natural Sciences on how to proceed
Subjects taught in English will offer the exam paper in English only.
This rule also applies for subjects where the exam form is dependent on the number of students and written exam is chosen by the teaching staff.
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
Re-scheduled exams are offered at the beginning of the next semester for students who:
- can document a valid reason for absence from the regular exam (e.g. illness before or during the exam)
- withdraw during the exam
- do not successfully complete the exam during the previous semester.
Read more about re-scheduled exams.
Withdrawal from an examination
If you wish to withdraw from the exam you must do so in StudentWeb at least two weeks prior to the deadline. Failure to do so will be counted as one of the three opportunities to sit the exam.
Special examination arrangements
If you have a disability or a health problem that entails significant inconvenience in an examination situation, you may be considered for special examination arrangements. Mothers who are breastfeeding may apply for extra time to complete the exam.
Evaluation
Feedback from our students is essential to us in our efforts to ensure and further improve the high quality of our programmes and courses. All courses are subject to continuous evaluation. At regular intervals we also ask students on a particular course to participate in a more comprehensive, periodic evaluation of this course.