FYS4140 – Mathematical methods in physics
Course description
Course content
Functions of a complex variable, complex integrals, the residue theorem and its applications. Linear-, ordinary- and partial differential equations of second order. Fourier series. The Laplace and Fourier integral transformations. Green's functions. Tensor analysis. Introduction to group theory with representations.
Learning outcome
To give the student an introduction to some mathematical methods useful in handling problems in physics as well as other areas of science, and to provide practical skills in the use of these methods.
Admission
Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.
If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.
Prerequisites
Formal prerequisite knowledge
No prerequisites.
Recommended previous knowledge
Knowledge corresponding to the following courses at the University of Oslo: MAT1100 – Calculus, MAT1110 – Calculus and Linear Algebra and MAT1120 – Linear Algebra.
Overlapping courses
10 credits overlap against FYS3140.
Teaching
The course extends over a full semester with 6 hours of teaching per week (lectures and problem solving). Two compulsory exercises are included.
Examination
Written assignment with approx. 30% weight of the final grade. Some students may be given an oral examination based on the assignment. Final 3-hour written exam with approx. 70% weight (primo June)
Allowed aids: Approved calculator. Øgrim and Lian or Angell and Lian: "Fysiske størrelser og enheter". Rottman: "Matematisk formelsamling". Two A4 sheets with notes.
For detailed information about examinations at the Faculty of Mathematics and Natural Sciences please see http://www.matnat.uio.no/english/studies/index.html