FYS3120 – Classical Mechanics and Electrodynamics
Schedule, syllabus and examination date
Changes in the course due to coronavirus Spring 2020
Teaching and examinations will take place digitally. This may result in changes to your schedule, mandatory activities, exam form and grading scale. See updated information on the semester page and in Canvas.
This course gives an introduction to analytical mechanics with an emphasis on Lagrange-Hamilton formalism and the action concept. Further, the course contains a thorough introduction to Einstein’s special relativity using four-vector formalism. This is used to give a covariant (independent of reference frame) description of mechanics and electromagnetism, including Maxwell’s equations.
After completing this course the student is expected to:
- understand the fundamental concepts of analytical mechanics such as generalised coordinates and momenta, the Lagrange and Hamilton functions, the action, cyclic coordinates and the relation between symmetries and conserved quantities, as well as the use of Poisson brackets
- be able to use the Lagrange and Hamilton equations to solve complex mechanical problems, and to use phase space based arguments to achieve a qualitative understanding of the existing solutions, as well as to apply variational calculus to more general problems
- understand the fundamental concepts of special relativity and their physical consequences, such as the Lorentz transformation, invariant quantities, the metric, and four-vectors and more general tensors, as well as their use in covariant formulations of physical laws
- be able to perform calculations using relativistic mechanics and conservation laws, including Newton’s second law on covariant form
- be able to use Maxwell’s equations in calculations featuring: both free and stationary electromagnetic waves, polarisation, problems with stationary sources, use of the multipole expansion, and time-dependent sources with electromagnetic radiation, including radiation from a dipole
- have a basic understanding of the field formulation of the Lagrange-Hamilton formalism
Admission to the course
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.
Special admission requirements
In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:
- Mathematics R1 (or Mathematics S1 and S2) + R2
And in addition one of these:
- Physics (1+2)
- Chemistry (1+2)
- Biology (1+2)
- Information technology (1+2)
- Geosciences (1+2)
- Technology and theories of research (1+2)
The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).
Recommended previous knowledge
- MAT1100 – Calculus
- MAT1110 – Calculus and Linear Algebra
- MAT1120 – Linear Algebra
- MAT-INF1100 – Modelling and Computations
- IN1900 – Introduction to Programming with Scientific Applications
- FYS-MEK1110 – Mechanics
- FYS1120 – Electromagnetism
- 10 credits overlap with FYS4120 – Classical mechanics and electrodynamics (discontinued).
The course runs over a whole semester with six hours of teaching per week (four hours of lectures and two hours of problem solving classes).
The course includes twelve compulsory problem sets. A minimum of six of these have to be handed in and approved in order to be admitted to the final exam.
Regulations for mandatory assignments can be found here.
To be eligible for the final exam, minimum six out of twelve problem sets must be approved.
An exam in the form of a written home assignment, weighted 20%.
A final written exam (4 hours), weighted 80%.
Examination support material
- Approved calculator
- Rottman: "Matematisk formelsamling"
- Øgrim and Lian or Angell and Lian: "Fysiske størrelser og enheter"
- Compendium with formulas for the course
Language of examination
You may write your examination paper in Norwegian, Swedish, Danish or English.
Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.
Resit an examination
Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.
Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.