Messages
The latter first.
- We will probably depart from the usual weighting. If so, it will most likely be announced here as well as on the exam problem set - you may want to watch this space.
Availability. I (Nils) is available on Monday and Tuesday (though not early morning except if called for, on Tuesday I may have to leave on short notice).
- From and including Wednesday, I (Nils) am not in office. If you want to catch me, use the following e-mail address (so that it does not drown in ordinary mail when I read it on a small screen):
ncf.adhoc [?tt] gmail.com - Yikai will be at the university on Thursday.
The review lecture will cover this one. Solution uploaded too.
The corrections are visible in typeset font. The actual numbers in the answers are not changed, as the error was a missing power of m, with m to be put =1.
"Ordinary" time and place. The schedule is updated, so it should show up in the calendar.
I have suggested an order of priority, in case you do not have time to do everything. The suggestion is in part based on a nice diagram available for 7-05, which makes that easier to catch up later.
Whatever happened, it didn't make it into the document. Please start doing 7-02 and 7-04, and I will post more later today (after the Math 2 lecture). My apologies (and thanks a million to the one student who notified me). - Nils
I did put it into the calendar at the "seminar timeslot", but maybe that was not obvious. I will cover linear systems (FMEA 6.5—6.7 / MAII 2.7–2.9).
If time permits, I will also start on nonlinear, but on Tuesday I will certainly only cover adaptations of the linear systems theory.
- More problems for next week posted. To drill second-order ODE's, just start at the beginning of section 6, even though they won't be covered.
- Problems for the next regular seminar (Tuesday 12th) will depend on whether proof by induction is covered by Friday 8th. But if you want to start out earlier: at least 7-02 and 7-04 will be assigned.
As announced, the upcoming Tuesday will be lectures, and Thursday will be lecture (completing differetial equations) and possibly some problems.
The problems to be given priority on Thursday, will be 6-15, 7-01 and possibly 6-10. Further seminar problems will be posted.
Wednesday night, and I was made aware of a stupid mistake in the problem set. Of course the error is in a problem I typed in. AV shall equal VD; then, right-multiply by the inverse of V. Corrected now. Mea culpa. - Nils
Obviously I forgot to update the schedule with reading list. Today: First- and second-order differential equations. Read: FMEA 6.1—6.3 / MAII 2.1–2.3.
- Nils
To confirm the change as suggested:
- Tuesday 29th: lecture in place of seminar.
- Thursday 31st: seminar in place of lecture.
Both days: time & place as in the schedule.
- And still on: Friday: "optional" lecture on complex numbers after the ordinary lecture.
- Problems updated. Some, like the matrix exponential, are quite a bit beyond what is required at an exam.
- If it fits Yikai's schedule, there will be lecture on Tuesday and seminar on Thursday.
- Friday's lecture will be a bit longer for those who want to:
Complex numbers are not required at the exam, but could (hopefully) enhance your understanding. So Friday I will - before 1600 - cover a little bit of it, and then after 1600 explain what that mysterious square root of -1 really is.
I hope to hand out a sketch up front, so you can figure out whether you need to show up.
- 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.
I see now that due to Aktualitetsuka, we have scheduled a lecture tomorrow. At this notice, we should likely stick to schedule?
We are a bit ahead. The schedule is updated to reflect this.
Tomorrow: linear equation systems, and then eigenvalues/eigenvectors.
... do the leftover from last Tuesday.
Updates will be posted next Tuesday, I think.
- Nils