FYS2130 – Oscillations and Waves
Schedule, syllabus and examination date
Oscillations in mechanics and electric circuits. Resonance and Q-value. Waves in mechanical systems and in electromagnetism. Phase velocity and group velocity. Standing and travelling waves. Coherence. Diffraction and interference. Fourier and wavelet analysis. Reflection, refraction, dispersion. Skin depth. Wave guides. Simple geometrical optics, including the optics of the human eye.
After completing this course you should:
- be able to recognize and use a mathematical oscillator equation and wave equation, and derive these equations for certain systems, point out the limitations and be able to refer to very different solutions of identical oscillator equations due to different initial and boundary conditions.
- explain how several waves or parts of waves interact, and be able to calculate and analyse diffraction and interference phenomena, and explain the conditions required for such phenomena to appear.
- describe and calculate what happens when waves move from one medium to another, and be able to explain dispersion and group and phase velocity.
- use geometric optics to describe and explain optical instruments, and by simple measurements estimate what strength glasses a person needs.
- explain several phenomena we can observe in everyday life that can be explained as wave phenomena, and identify basic principles, such as the Fresnel principle, to explain various phenomena
- use both analytical mathematics and numerical methods to explore the subjects mentioned above. In particular you should be able to analyse experimental oscillator or wave phenomena, such as sound, using suitable methods.
- gather relevant information by yourself, and seek help from others to solve an extensive assignment where all necessary information is not supplied.
- write a thorough project report describing the topic, the methods used, results and conclusions clearly.
Admission to the course
Students at UiO register for courses and exams in Studentweb.
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
- 3 credits overlap with FYS111.
The first lecture is mandatory. If you are unable to attend, the Department has to be informed in advance (e-mail firstname.lastname@example.org), or else you will lose your place in the course.
The course extends over a full semester with 7 hours of teaching per week:
- 3 hours of lectures
- 2 hours of group sessions
- 2 hours of problem solving which includes help with the computational essay
The course comprises the following obligatory activities:
- 6 compulsory assignments
- Computational essay
Participation in group sessions throughout the semester (at least 70%) can replace one compulsory assignment.
Regulations for mandatory assignments can be found here.
To be eligible for the final exam, 5 of 6 assignments must be approved (4 of 6 with a 70% participation in group sessions). Additionally, the computational essay must be approved.
The final written exam counts for 100% of the grade. You must pass the final exam to pass the course.
Examination support material
- Approved calculator
- Rottman: "Matematisk formelsamling"
- Øgrim and Lian or Angell and Lian: "Fysiske størrelser og enheter"
- One page with formulas (will be handed out together with the exam papers)
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
This course offers both postponed and resit of examination. Read more: