FYS701 Mathematical Approximation Techniques in Physics and Engineering Sciences, part 1
- ECTS Credits:
- 5
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Kjetil Magne Dørheim Hals
- Lecture Semester:
- Autumn
- Teaching language:
- English.
- Duration:
- 1 term
The course is connected to the following study programs
- PhD Programme in Engineering and Science
Teaching language
English.Prerequisites
The course requires advanced knowledge in physics and/or applied mathematics.
Course contents
- Asymptotics
- Perturbation theory
- Summation of series
- Local analysis of linear and nonlinear differential equations in mechanics
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).
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.
Teaching methods
Lectures and tutorials.
Admission for external candidates
No.
Offered as Single Standing Module
Yes.
Admission Requirement if given as Single Standing Module
The candidate must be admitted to a PhD programme
Assessment methods and criteria
Oral examination.
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.