This week's topic, draft problems for _next_ week - and one more "detail"
Tomorrow:
x''+ax'+bx = f(t), a and b constants - and then linear systems of two diff.eq's and how to reduce them to a second-order.
Problems for next week's seminar Wednesday 13th:
To be finalized after tomorrow's lecture (when I know how far we got), but you can start at the top of this, all compendium except noted:
- Use integration by parts to find an antiderivative of t cos t.
- 1-13
- 6-01
- 6-02. In (b), try the hint and fit coefficients!
- 6-08: At least do enough to catch the point.
- 6-10. It is not curriculum to solve this equation from scratch, but given the hint it is curriculum to be able to construct the general solution of the homogeneous. For (b) ... make an educated guess!
- 6-12. Requires the Leibniz rule. (c) might at worst require Thursday's lecture.
- 7-01. Might at worst require Thursday's lecture, and should be skipped if it is too much.
- Exam 2008: rest of problem 1; part (d) will require Thursday's lecture and should be skipped if it is too much.
Many problems, but once you get the 2nd order diff.eq's they are done very quickly - and it is a point to drill them.
And that "detail"
There is now a folder called "Previous exams" in the left margin. Not my creation, but the Faculty's - ignore it unless they do something strange to the seminar problems folder.
Which is just what happened when they fiddled with the Mathematics 2 course site: then without warning, the seminar problems were removed :(
Just in case, I have mirrored the compendium at