Midterm

  • Due Oct 22, 2019 by 7p.m.
  • Points 100
  • Available Oct 22, 2019 at 5p.m. - Oct 22, 2019 at 7p.m. 2 hours
This assignment was locked Oct 22, 2019 at 7p.m..

Information about the midterm 

  • The test is from 5.10 pm to 7.10 pm on Oct 22nd at DH3000 (during our usual lecture). 
  • No aids, electronic devices are allowed during the test.
  • The test contains 6 structured problems based on material discussed until 10th October.
  • Please review the following concepts.
    • First integrals and conserved energy in physical systems. (No Physics knowledge is assumed. All equations will be given. Only mathematical ideas will be tested.)
    • Existence and uniqueness of solutions, maximal interval of existence and Picard iteration. 
    • Linear systems - matrix exponential, fundamental matrix solutions, Liouville's formula, canonical systems, solving general systems using canonical systems and phase portraits.
    • Nonlinear systems - linearization, linearized stability (stability of fixed points), stable, unstable manifolds and (local) phase portraits. 
  • As an exam preparation, go over the suggested exercises (specially the ones in green) for each week, the homework problems sets and the solutions posted. 
  • Also, go over the notes I have posted for each week including the one for the first week:  Chapter 1 of Robinson's book. 

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1571785200 10/22/2019 07:00pm