Do you like working with differential equations?

Then a natural next step is to take TMA4305 Partial Differential Equations.

For stochastic differential equations try MA8109 Stochastic processes in systems theory
(PhD course fall 2013 - ok for 4th year students)

Messages

• Problem set and solution sketch for the exam.

• Good luck on the exam Thursday!

• Final curriculum available - see 'General information' in left menu.
  • Not covered this year and in 2012:
    • Index at infinity
    • Bifurcations
    • Fractals
    • Discrete dynamical systems and chaos
  • New this year and 2012:
    • Much more extensive and general discussion of existence, uniqueness, and continuous dependence results.
    • More emphasis on linear theory, the fundamental matrix, and stability results
    • Invariant domains, LaSalle's principle

• Other messages:
  • All summary slides are posted under 'General information' in the left menu.
  • Exam problems for Lectures 25.4. and 30.4.: 2012: 1,5,7; 2010:2a,3,4; 2011:3a; 2009:2a,2b
  • Excursion week 12 and 14: The lecture notes for these weeks are posted in the left menu under 'General infomation'.
    (There will be exam poblems from this part of the curriculum.)
  • A simpler proof of continuous dependence on the data in scanned lecture note of 21.1. ('General information' in left menu).
  • Copies of chp. 6 of the Birkhoff & Rota book can be bought at the math. department office (7th floor SB2).

Homework:

• 23.4.: Read the proofs of sections 11.2 and 11.3 of Jordan-Smith
• 05.3.: Read the note of Hanche-Olsen p. 23-24
• 28.2.: Read Birkhoff & Rota page 6.13.
• 21.2.: Read Birkhoff & Rota chp. 6.5.
• 29.1.: Read Jordan-Smith chapters 2.5 and 2.6.
• 24.1.: Read the following lecture note.
• 17.1.: Read chapter 1 in Jordan-Smith.