I will generally add new material near the top of the page: a few items may always remain at the top.
do exercise 28.2 i, iii, vii. I will happily do one or more other parts of this exercise cold on Thursday.
This is not the promised test review, just homework. It is of course all material that will be on the test [no, 12.6 and 12.8 are outside the scope of the test, though interesting. 12.5, not assigned, is I think a good test review problem]. It is officially due at the first class period after the exam, but if you turn it in on Tuesday the 4th it will be graded before the exam on the 6th.
The homework is this worksheet intended for test review. It is also graded homework: if you turn it in on 2/14, I promise to mark it and have it available sometime on 2/15; if you turn it in on 2/21, after the test, which is also allowed, you will not get this benefit.
Second homework assignment, due next Thursday: 7.5, 7.7, 7.10, 7.11, 8.2 all parts, 8.3 all parts, 8.6, 8.10.
First homework assignment, due Thursday, Jan 26th: p. 49 7.1 (use the same method we used to prove Theorem 7.1, but integrate/differentiate twice; there is a solution or hint toward a solution given, but you should attempt it yourself); 7.2 i, iii, vi [in 7.2 you may want to bound x and/or y to get things to work; you can look at their hints to see what kind of bounding is needed, but you need to show verifications that the constants you come up with work.]; 7.3 i, iv (I did iv in class, but this is a good one to be reminded of!); 7.4 ii. review from early sections (these have answers, but try them on your own: 3.3i, 3.5, 4.5, 4.6* [I can do the general substitution described in 4.6, but I can't see how to use it to solve the specific equation in 4.6; maybe you can]; 5.1, 5.3i, 6.12ii.
The historical material in Lecture 2 might be interesting to read. The techniques of solving differential equations in Lectures 3 through 6 should be familiar to you from Math 333, and you should review them (I do mean that you should review them now!) I am not lecturing them (at least not in full; I may end up making some remarks about them) but I am very likely to assign some problems from these sections for review in the first homework assignment.
I will have to do some creative work to come up with test questions that work for you, and I will do my best to make sure that they do not come as a surprise!
Here is the review sheet (just an outline of topics as I enter it at noon 3/17/2017: I am planning to add worked examples and sample problems over the break: as of Monday 3/27 I have added some examples, some with solutions).