Course 02655  Examination procedure and questions

 The examination form in course 02655 is oral and takes place:
 
 

Wednesday December 10, 2003 at 9:00

Room 024, Building 305





The examination questions are the following subjects:

  1. Linear and nonlinear diffusion
  2. Korteweg deVries equation
  3. Sine-Gordon equation
  4. Nonlinear Schrödinger equation
  5. Bäcklund transformation
  6. Hirota's method
  7. Lamb's method
  8. Inverse scattering theory
  9. The Hodgkin-Huxley system
  10. The FitzHugh-Nagumo nerve
  11. Basic nonlinear lattices
  12. Nonlinear Schrödinger lattices
  13. Solitons in real proteins
  14. Perturbation theory
  15. Energy analysis of soliton dynamics
  16. From classical to quantum oscillators
  17. Self-trapping in biomolecules
Problems from exercises 1-25 have been selected.

This year the following problems have been selected:

          Exercise 1:  chapter 2.7:  # 3-5
          Exercise 2:  chapter 2.7:  # 17-18
          Exercise 3:  chapter 2.7:  # 26
          Exercise 4:  chapter 3.5:  # 4, # 5, # 7
          Exercise 5:  chapter 3.5:  # 10, # 13
          Exercise 6:  chapter 3.5:  # 27, # 33
          Exercise 7:  chapter 3.5:  # 35, # 36, # 37
          Exercise 8:  chapter 6.8:  # 1, # 2, # 3, # 5a
          Exercise 9:  chapter 6.8:  # 12
          Exercise 10: chapter 4.8: # 9, # 10
          Exercise 11: chapter 4.8:
          Exercise 12: chapter 4.8: # 25, # 26
          Exercise 13: chapter 3.5: # 40, # 41

          Exercise 14: chapter 3.5: # 42
          Exercise 15: chapter 5.9: # 3
          Exercise 16: chapter 5.9: # 26
          Exercise 17: chapter 5.9: # 29
          Exercise 18: chapter 5.9: # 32
          Exercise 19: chapter 7.8:
          Exercise 20: chapter 7.8: # 12
          Exercise 21: chapter 7.8: # 20
          Exercise 22: chapter 7.8: # 22: a and b (ii, iv)


          Exercise 23: chapter 8.9: # 4
          Exercise 24: chapter 8.9: # 29
          Exercise 25: chapter 8.9: # 30

Please prepare a 15 minutes presentation of each of the subjects above and a 10 minutes presentation of each of the  selected problems in the course, including problem formulation, method applied, results and comments on the results.

At the examination you will - at random - pick one of the subjects including one of the selected exercises illustrating this subject.

Examination language: Danish or English as you prefer.

After you have picked the subject at the exam, no time will be allowed for further preparation. You may glance at your notes during your presenation. It will, however, count negatively in the evaluation if you depend too much on them.

Time schedule of the examination:

Meeting time Student
Wednesday
December 10,
2003
name
9:00 Thomas Korsgaard
9:00 Jonas Dahl
9:30 Jesper Nygaard
10:00 Peter Grydgaard
10:30 Clement Lessel
11:00 Anders Rasmussen
11:30 Per Rasmussen
13:00 Helle Piil
13:00 Hans Christian Jensen
13:30 Søren Peder Madsen
14:00 Michael Öster
14:30 Yati Kurtzhals
15:00 Søren Jensen
15:00 David Hedegaard

For further information, please contact plc IMM Bldg. 305, DTU
Phone: +45 45253092 / Fax: +45 45931235, E-mail: plc@imm.dtu.dk