Program Overview

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Course Details

Course Description

The course provides an introduction to the theory of complex integration, conformal mappings, and harmonic functions. The course also includes selected advanced topics, such as analytic continuation, analytic number theory, interpolation, and approximation, and applications to fluid mechanics.

Learning Outcome

1. Knowledge: The student has knowledge of central concepts and ideas from complex analysis, including power series, complex integration, conformal mappings, and harmonic functions. Moreover, the student is familiar with selected advanced topics, such as analytic continuation, analytic number theory, meromorphic functions, interpolation, and approximation, and applications to fluid mechanics.
2. Skills: The student is able to apply their knowledge of complex analysis to solve problems from mathematics and natural science/technology.

Learning Methods and Activities

• Lectures and exercises
• Students are free to choose Norwegian or English for written assessments

Further on Evaluation

• Retake of examination may be given as an oral examination
• The retake exam is in August

Recommended Previous Knowledge

• The course is based on TMA4120 Mathematics 4K - Complex analysis, differential equations, and Fourier analysis or an equivalent course
• It is also an advantage to be familiar with the material in TMA4145 Linear methods or equivalent

Course Materials

• Will be announced at the start of the course

Credit Reductions

• Course code: SIF5029
• Reduction: 7.5 sp
• This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently

Subject Areas

• Mathematics
• Technological subjects

Course Information

Course Code

• TMA4175

Credits

• 7.5

Level

• Second degree level

Course Start

• Spring 2026

Duration

• 1 semester

Language of Instruction

• English

Location

• Trondheim

Examination Arrangement

• School exam

Examination

Examination Arrangement

• School exam

Grade

• Letter grades

Ordinary Examination - Spring 2026

• School exam
• Weighting: 100/100
• Examination aids: Code C
• Date:
• Time: 09:00
• Duration: 4 hours
• Exam system: Inspera Assessment

Re-sit Examination - Summer 2026

• School exam
• Weighting: 100/100
• Examination aids: Code C
• Duration: 4 hours
• Exam system: Inspera Assessment
• Place and room: Not specified yet