Instructor: Elizabeth Meckes
Office: Yost 208
Phone: 368-5015
Email: ese3 [at] cwru.edu
Office Hours: MWF, 2 -- 3, or by appointment
TA sessions: TBA
Textbook: Differential Equations, 4e by Blanchard, Devaney, and Hall
Course description: From the course catalog:
A first course in ordinary differential equations. First order equations and applications, linear equations with constant coefficients, linear systems, Laplace transforms, numerical methods of solution. Prereq: MATH 223.
We will cover most of the material in chapters 1–3 of the textbook, and selected topics from chapters 4–7. In addition to attending the lectures, you should be reading the text book since there won't be time to discuss all the material in class.
Definition of a credit hour (approved by the Faculty Senate):
For courses in lecture format, one credit-hour represents the subject content that can be delivered in one academic hour of contact time each week for the full duration of one academic semester, typically fourteen weeks along with a final examination period. For undergraduate courses, one credit-hour also includes associated work that can be completed by a typical student in 2-3 hours of effort outside the classroom. (Emphasis mine)
If you are spending more than three hours outside of class per lecture on a regular basis, please let me know.
Homework: How much you work on the homework problems is probably the single biggest factor in determining how much you get out of the course. If you are having trouble with the problems, please come ask for help; you will learn much more (and probably get a rather better grade) if you figure out all of the homework problems, possibly with help in office hours, than if you do them alone when you can and skip the ones you can't.
Homework is due daily and is posted below. You will be assigned to a homework group; at the beginning of each class, you will have 10 minutes to discuss your solutions and revise them as you like before turning them in. Remember that your goal should be to write solutions that your classmates (and the grader!) can easily understand. This means you should generally be rewriting your solutions after you figure out how to do the problems, rather than turning in the paper on which you figured them out.
You may discuss the homework with other students, however, you must write up solutions on your own.
Exams: There will be four midterm exams and one final exam. The tentative dates for the midterm exams are: September 16, October 9, November 8, and December 4. The final exam is scheduled for Tuesday, December 10 at 3:30pm.
Old exams and solutions: I will post old exams and solutions here as we approach the midterms. I
strongly suggest that you practice doing problems until you feel prepared for the
exam, then give yourself 50 minutes and try taking the exams as
practice, then look at the solutions, compare with your own, and
then practice some more.
In 2012 I gave 5 midterms; these two together are on material that will appear on our quiz 3. Part A Solutions Part B Solutions
Practice 1 for Quiz 4 Solutions (This old exam includes material from sections 5.3, 6.1, 6.2, and 6.3; our quiz 4 will also include sections 6.4,6.4 and 7.1-7.3)
Practice 2 for Quiz 4 Solutions (This old exam includes material
from sections 6.4 and 7.2.)
This semester's exams and solutions:
Grading: Homework is worth 20% of the grade. Each of the four midterm scores is worth 13% of the grade. The final is worth 28%.
A couple articles worth reading:
Forget What You Know About Good Study Habits appeared in the Times in Fall 2010. It offers some advice about studying based on current pedagogical research.
Teaching and Human Memory, Part 2 from The Chronicle of Higher Education this past December. Its intended audience is professors, but I think it's worth it for students to take a look as well.
Computing: The goal of this course is to help you develop and understanding of the underlying ideas behind the use of differential equations in modeling and analyzing real-world problems; there are other courses that focus more specifically on the use of computers in solving differential equations. We will occassionally make use of technology throughout the term; the web applets below should suffice. You are free to use any of them, or other technology, when appropriate.
| Lecture | Section | Problems | Due date |
|---|---|---|---|
| Monday 8/26 | 1.1 | 4, 14, 18, 22 | 8/28 |
| Wednesday 8/28 | 1.2 | 2, 21, 28, 34, 40 | 8/30 |
| Friday 1/16 | 1.3 | 6 (use any technology you like), 8, 10 (you can just do these by hand, or follow up with technology), 12, 14, 16 | 9/4 |
| Wednesday 9/4 | 1.4 | 2 (use any technology), 6, 8, 11, 15 | 9/6 |
| Friday 9/6 | 1.5 | 2, 7, 12, 16, 18 | 9/9 |
| Monday 9/9 | 1.6 | 2, 4, 14, 16, 32, 39 | 9/11 |
| Wednesday 9/11 | 1.8 | 2, 4, 8, 10, 22, 30 | 9/13 |
| Friday 9/13 | 2.1 | 1, 2, 8(a,b), 9, 20(a,b) | 9/18 |
| Monday 9/16 | Exam 1 | ||
| Wednesday 9/18 | 2.2 | 8, 10, 11, 12, 21 | 9/20 |
| Friday 9/20 | 2.3 2.4 |
2.3: 2, 5 2.4: 5, 6, 7 | 9/23 |
| Monday 9/23 | 2.5 | 2, 4(a,b) (as usual, use any technology), 6(a,b), 7 | 9/25 |
| Wednesday 9/25 | 2.6 | 3, 4, 5, 9, 10 | 9/27 |
| Friday 9/27 | 2.7 | 3, 4, 6, 7 | 9/30 |
| Monday 9/30 | 3.1 | 4, 6, 16, 19, 20, 21 | 10/2 |
| Wednesday 10/2 | 3.1 | 24, 26, 28, 33 | 10/4 |
| Friday 10/4 | 3.2 | 4 (a,b,e), 6(a,b,e), 12, 14, 16 | 10/7 |
| Monday 10/7 | 3.3 | 4, 6, 10, 12, 18 | 10/11 |
| Wednesday 10/9 | Quiz 2 | Section 3.3: 4, 6, 10, 12, 18 | 10/11 |
| Friday 10/11 | 3.4 | 1, 2, 18 | 10/14 |
| Monday 10/14 | 3.4 | 4(a,b,c,d), 6(a,b,c,d), 10(a,b), 12(a,b), 15 | 10/16 |
| Wednesday 10/16 | 3.5 | 2(a,b,c,d), 4(a,b,c,d), 6(a,b), 8(a,b), 18 | 10/18 |
| Friday 10/18 | 3.6 | 2, 10, 26, 28 | 10/23 |
| Wednesday 10/23 | 3.7 | 3, 5, 8, 12 | 10/25 |
| Friday 10/25 | 3.8 | 4, 16, 19, 20 | 10/28 |
| Monday 10/28 | 4.1 | 2, 6, 10, 22, 26 | 10/30 |
| Wednesday 10/30 | 4.2 | 4, 8, 14, 17, 18 | 11/1 |
| Friday 11/1 | 4.3 | 2, 10, 12, 16, 21 | 11/4 |
| Monday 11/4 | 5.1 | 2, 4, 8(a,b), 12(a,b), 30 | 11/6 |
| Wednesday 11/6 | 5.2 | 2, 4, 6, 10 | 11/11 |
| Monday 11/11 | 5.3 | 1, 2, 10, 12 | 11/13 |
| Wednesday 11/13 | 5.3 | 4, 7, 8, 9, 14 | 11/15 |
| Friday 11/15 | 6.1 | 2, 10, 16, 18, 25 | 11/18 |
| Monday 11/18 | 6.2 | 4, 6, 8, 10, 14 | 11/20 |
| Wenesday 11/20 | 6.3 | 8, 28, 30, 32 | 11/22 |
| Friday 11/22 | 6.4 | 2, 4, 5, 7, 10 | 11/25 |
| Monday 11/25 | 6.5 | 2, 4, 6, 10 | 11/27 |
| Wednesday 11/27 | 7.1 7.2 |
6 10 | 12/2 |
| Monday 12/2 | 7.3 | no homework | 12/4 |