Seminar problems, and the next couple of lectures_亚博娱乐官网_亚博pt手机客户端登录

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2016-03-10T11:43:37.289Z
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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 e x=1+x+x ²/2+x ³/3! + ..., we can for a square matrix A define exp( A) = I + A + A ²/2 + A ³/3! + ...)

A crash course in complex numbers and applications to eigenvalues; previewing applications to differential eq. systems.

Proof by induction.