Course code MATH270

MATH270 Complex Analysis and Transformation Methods

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Showing course contents for the educational year 2022 - 2023 .

Course responsible: Susanne Solem
ECTS credits: 10
Faculty: Faculty of Science and Technology
Teaching language: EN
(NO=norsk, EN=Engelsk)
Teaching exam periods:
This course starts in the Spring parallel. This course has teaching and evaluation in the Spring parallel.
Course frequency: Annually
First time: Study year 2004-2005
Course contents:
The course deals with elementary theory in complex analysis and transformation methods. Students will be introduced to complex numbers and functions, Cauchy's integral theorem and formula, Taylor and Laurent series, residue calculation, and Fourier series and transformations. 
Learning outcome:

After completion of the course, the student will have learnt elementary theory for analytical functions and transformation methods. The student will be able to apply this theory to relevant applied problems (in, for example, geomatics, physics, and technology). After completing the course, the students will master

  • Complex numbers
  • Complex functions
  • Cauchy's integral theorem and Cauchy's integral formula
  • Taylor series and Laurent series
  • Residue calculations
  • Fourier series
  • Fourier transformations
Learning activities:
The most important information on each topic of the course is given in lectures. After this, the students are given problems to solve on the same topics. The aims of the problem-solving are for students to practice calculation technique, understand methods and ideas, as well as be able to apply the subject to technical-physical problems. Problem-solving sessions with a TA present.
Teaching support:
The students can either contact the lecturer in the office, by telephone, or by e-mail.
Syllabus:
An overview will be handed out in the lectures.
Prerequisites:
MATH111, MATH112, MATH113
Recommended prerequisites:
Mandatory activity:
None
Assessment:
A 3.5 hours written exam.
Nominal workload:
Theory: 125 hours. Exercises and preparations for the exam: 125 hours.
Entrance requirements:
Special requirements in Science
Type of course:
Lectures for 4 hours per week, and problem sessions for 2 hours per week.
Note:
Classes will be given in English.
Examiner:
The external and internal examiners jointly prepare the exam questions and the correction manual. The external examiner reviews the internal examiner's examination results by correcting a random sample of candidate's exams as a calibration according to the department's guidelines for examination markings.
Allowed examination aids: B2 Calculator handed out, other aids as specified
Examination details: One written exam: Letter grades