FYS3120 - Classical mechanics and electrodynamics

Schedule, syllabus and examination date

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Course content

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.

Learning outcome

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

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

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

One of these:

  • Mathematics R1
  • Mathematics (S1+S2)

And and in addition one of these:

  • Mathematics (R1+R2)
  • 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. Read more about special admission requirements (in Norwegian).

Recommended previous knowledge

Knowledge corresponding to the following courses at the University of Oslo:

Overlapping courses

Be aware that the information about overlapping courses is not complete. Contact the Department if there are uncertainties.

Teaching

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.

Examination

To be eligible for the exam, minimum six out of twelve problem sets must be passed.

Written home assignment with 25 % weight. A 4-hour written final exam with 75% weight (primo June). Both written home assignment and final exam must be passed in order to pass the course in total.

Examination support material

  • Approved calculator
  • Øgrim and Lian or Angell and Lian: "Fysiske størrelser og enheter"
  • Rottman: "Matematisk formelsamling"
  • Compendium with formulas for the course.

Language of examination

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

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.

Explanations and appeals

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.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Evaluation

The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course

Credits

10

Level

Bachelor

Teaching

Every spring

Examination

Every spring

Teaching language

Norwegian (English on request)