Seminar problems, and the next couple of lectures

  • Since you have another week until the seminar, I threw in a few more problems. Yikai may want to give priority to the ones already assigned, and if time permits, I can cover some of the remaining in the lecture on Thursday 17th.
  • Since there is not much use in starting to review differential equations that Thursday, I thought of giving a few bits and pieces, like one or more of the following:
    • Matrix exponentials, defined through Taylor series. (Analogous to ex=1+x+x2/2+x3/3! + ..., we can for a square matrix A define exp(A) = I + A + A2/2 + A3/3! + ...)
    • A crash course in complex numbers and applications to eigenvalues; previewing applications to differential eq. systems.
    • Proof by induction.
Published Mar. 10, 2016 12:43 PM