FYS702 Mathematical Approximation Techniques in Physics and Engineering Sciences, part 2
- ECTS Credits:
- 5
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Kjetil Magne Dørheim Hals
- Lecture Semester:
- Spring
- 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
-
Global analysis of differential equation
-
Boundary layer theory
-
WKB theory
-
Multiple-scale analysis
Learning outcomes
The student will learn mathematical approximation methods to find analytical solutions to differential equations. In particular, the course will concentrate on global asymptotic methods to obtain approximate solutions to differential equations that often appear in physics and engineering sciences, and that may not be solvable in closed form.
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 second part of the book by C.M. Bender and S.A. Orszag: «Advanced Mathematical Methods for Scientists and Engineers», McGraw-Hill 1978.