~~NOTOC~~
====== TMA4165 ======
======Differential Equations and Dynamical Systems ======
======Spring 2013 ======
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** Did you like this course?  **

** 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)

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<infoboks fill|Messages>

    * [[http://www.math.ntnu.no/emner/TMA4165/2013v/oving/public/exam/tma4165orden.pdf|Problem set]] and [[http://www.math.ntnu.no/emner/TMA4165/2013v/oving/public/exam/tma4165ord-lf-en.pdf|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).          
 


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** 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 [[http://www.math.ntnu.no/emner/TMA4165/2013v/notater/ERJ/Forelesning24Jan2013.pdf|lecture note]].
  * 17.1.: Read chapter 1 in Jordan-Smith. 



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<schedule>
<daytitles>Mon|Tue|Wed|Thu|Fri</daytitles>
<timeslots>08:15-09:00|09:15-10:00|10:15-11:00|11:15-12:00|12:15-13:00|13:15-14:00|14:15-15:00|15:15-16:00|16:15-17:00|17:15-18:00</timeslots>

<entry day:Tu start:2 end:3 color:blue>Lecture R3</entry>
<entry day:Th start:2 end:3 color:blue>Lecture F2</entry>
<entry day:Mo start:9 end:9 color:lightgrey>Exercises R10</entry>
</schedule>