FYS701 Mathematical Approximation Techniques in Physics and Engineering Sciences, part 1 (Autumn 2023)
- ECTS Credits:
- 5
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Kjetil Magne Dørheim Hals
- Lecture Semester:
- Autumn
- Teaching language:
- English.
- Duration:
- ½ year
Table of contents
The course is connected to the following study programs
Teaching language
English.
Prerequisites
The course requires advanced knowledge in physics and/or applied mathematics.
Learning outcomes
After the course is completed, the student will be familiar with taking analytical approaches to solving differential equations. The student will be able to analyze equations, simplify them and find mathematical methods for obtaining approximate solutions. In particular, to find analytical solutions to differential equations that often occur in mechanics and that cannot be solved exactly (classical, quantum and celestial mechanics).
Contents
- Asymptotics
- Perturbation theory
- Summation of series
- Local analysis of linear and nonlinear differential equations in mechanics
Teaching and learning methods
Lectures and tutorials.
Examination requirements
In order to take the final exam, the student must have an approved paper/report describing examples from own engineering discipline where the theory from the course is applied.
Examinations
Oral examination.
Offered as a free-standing course
Yes.
Admission Requirement if given as a free-standing course
The candidate must be admitted to a PhD programme
Admission for external candidates
No.
Other information
The course is based on the first part of the book by C.M. Bender and S.A. Orszag: «Advanced Mathematical Methods for Scientists and Engineers», McGraw-Hill 1978.
Last updated from FS (Felles studentsystem)
Oct. 15, 2026 9:22:28 AM