Recommended Exercises:
All exercises are from this book:
Elementary Differential Equations, 10th ed., Boyce
and DiPrima.
Section (pages): #s
Exam 1:
1.1 (7-10): 3, 5, 7, 11, 13, 15, 17, 19, 23, 25abc
1.2 (15-8): 1, 4, 5, 6, 7, 13, 15
1.3 (24-5): 1, 3, 5, 7, 9, 14, 15, 17, 19, 27
2.1 (39-41): 1c, 5c, 11c, 13, 16, 19, 20, 27, 32?, 33, 38, 39, 42
2.2 (48-50): 2, 3, 5, 8, 12, 13, 21, 29, 30?, 33?
2.3 (): None
2.4 (76-8): 1, 2, 5, 6, 23, 25, 26, 27?
2.5 (): None
2.6 (101-2): 1, 2, 4, 6, 10, 14, 17?, 18!, 19, 21, 25, 26, 32
Exam 1 solutions
Exam 2:
2.4 (76): 7, 11, 14, 15
2.8 (120-2):7ab, 8ab, 10, 13, (15&16&17&18)?, 19?
3.1 (144-5):1 - 16 all, 25ab, 25c?, 27?
3.2 (155-7): 1, 3, 7, 9, 10, 12, 14, 16, 17, 19, 20, 25, 27, 31, 32, 37, 41?, 42!, 45
3.3 (164-6): 1, 3!, 5, 8, 12, 14, 18, 19, 20, 23a, 23b?, 25a, 25b?, 27, 29!, 30?, 31?,
33?, 35, 41
3.4 (172-5): 1 - 14 all, 19, 23, 24, 28, 34, 40
4.2 (): none
3.5 (184-5):1, 6, 8, 14, 16, 18, 21a, 23a, 28a
4.3 (): none
Exam 2 solutions
Exam 3:
3.6 (190-1): 1-4 all, 5, 7, 9, 11, 16-19 all
4.4 (): none
5.1 (253): 1, 2, 4, 7, 8, 10, 12, 14, 15, 16, 17!, 18!, 21
5.2 (263-5): 1, 2 & 15 & 23, 3, 4 & 27, 15, 21
5.3 (269-71): 1, 2, 5, 7, 8, 10?, 11, 12, 24?, 27? & 28?
5.4 (280-2): 1, 3, 5, 7, 9, 11, 13, 15, 17, 18, 40, 46 - 49 all
Exam 3 solutions
Exam 4:
6.1 (315-7): 1, 2, 3, 5!, 6!, 7, 9?, 11, 15, 19, 21, 25, 30*
6.2 (324-7): 1, 2, 7, 9, 11, 14, 15, 19, 21, 23, 28?, 29?, 30, 31, 38?
6.3 (333): 1, 4, 12, 13, 15, 16, 20, 21
6.4 (340-1): 1 - 5 all, 9, 13
Exam 4 solutions
Final Exam:
As written in the syllabus, the final exam for this course is comprehensive.
You should review all of the material covered on past exams, and (re?)work
the recommended exercises for the sections that you are having trouble with.
In addition, there will be a take-home
section of the final that I will pass out in class on Monday, 2 Decemeber. It will
cover these sections:
2.7 (110-2): 2, 4, 11, 13, 20?, 21?
8.3 (471-2): 1, 3, 5, 10, 11
Here are some sample Excel files for Euler's method and the Runge-Kutta method:
Euler 1
Euler 2
Euler 3
Runge-Kutta 1
Runge-Kutta 2
Final Exam solutions
Honors Assignments:
Assignment 1
Assignment 2
Assignment 3
Key :
* : problem is particularly interesting, either for physical or mathematical reasons. It is not clear, however, if it is worth doing.
& : problems are related and should be considered as one.
! : problem is particularly worth doing.
? : problem may or may not be worth doing, but definitely note the result.