Ordinary Differential Equations Homework:
For each section of the text that we study you should examine the problems at the end of the section and convince yourself that you can solve all of them, and that you can write clear and complete solutions. Sometimes you will be able to do this with some careful thought and a little bit of scratch work. Other times will require a continued effort over several study sessions with some guidance from me.
During each class I will suggest several problems that are relevant to our current discussions, and that are worth writing up in detail. At the end of each chapter I will hand out a chapter review sheet that includes a list of problems that you should turn in for grading. The problems that I choose will be selected primarily from the ones that were suggested in class. However, the list will also contain one or two extra problems that encourage you to reexamine, extend, and synthesize some important ideas from the chapter. You will generally have two days to prepare your solutions before handing them in. At the end of the semester I will rescale the homework totals so that a perfect score is worth 100 points. This makes your total homework score equivalent to one midterm exam.
2.1:1-20(practice)
21,26,28,30,31,33,35,36
2.2:1-29(practice)
30,31
2.3: 10,15,18,20,24
2.4: 3,5,8,11,14,17,23,25,32
2.5: 3,6,9,16,20,21,26
3.1: 4,8,12,16,18,21,23
Read the sections on
"Equations with the Dependent Variable Missing" and "Equations with the
Independent Variable Missing" to get
an idea of what other methods are possible.
3.2: 4,9,12,14,16,18,19,24,26
3.3: 3,9,12,17,24,28
3.4: 7,14,19,25,27,28,33
3.5: 5,10,14,18,20,24,34,38
3.6: 5,11,17,25,30,33
3.7: 4,10,17,28,29
Read sections 3.8 and 3.9 before Monday 10/23
3.8: 6,13,24,28
3.9: 1,5,7,11,18,19
5.1:2,5,12,13,18,20,21,26
5.2: 5,10,21,26
5.3: 4,7,10,11,15,23,24, read problems 16-21.