Math 211, Section 001, Fall 2011

Math 211: Ordinary Differential Equations and Linear Algebra
Fall 2011
Section 001
Lecture time: MWF 11:00-11:50AM
Lecture location: Herzstein Hall (HRZ) AMP

Instructor: Dr. Eamonn Tweedy
Office: Hermann Brown 444
Office Hours: M 2-3PM, W 5-6PM, F 4-5PM

Course syllabus

The Final Exam will take place on Wednesday, December 7, 7-10PM, in Herzstein Amphitheater (the usual lecture classroom). Here are some facts:

1. The exam will cover all sections from the two midterms, AS WELL AS 9.5, 9.6, 9.8, and 9.9.
2. A review document has been posted on OWL-Space in the "Resources" section. Please use this when studying!
3. A final exam from Fall 2010 can be found HERE (and solutions HERE)
4. No calculators will be allowed!
5. I will have office hours in HBH 227 (a classroom, so that we will have more space) 4-6PM on Monday, December 5 and 2-3PM on Tuesday, December 6.

Midterm 2 will take place on Friday, November 11, IN LECTURE. Here are some facts:

1. The midterm will cover sections 7.4, 7.5, 7.6, 7.7, 8.1, 8.2, 8.3, 8.4, 8.5, 9.1, 9.2, 9.3, 9.4
2. No calculators will be allowed!
3. If you use a theorem (e.g. a uniqueness theorem), make sure to carefully justify why the theorem applies and carefully state what it tells you about the problem!
4. Here are some topics that won't be covered:

Geometric interpretation of determinant (pg. 323)
Permutation definition of determinant (pg. 323-4); you should use the inductive definition involving minors or the row-reduction methods
Component plots (pg. 339)
Direction fields (pg. 343)
General uniqueness theorem (Theorem 3.2); you DO need to be familiar with what Theorem 3.2 says about autonomous systems (*see below), and the version for linear systems (Theorem 3.4)
You don't have to memorize ODEs for specific models (e.g. predator-prey, circuits, springs, mixing, etc.

6. I will have an extra office hour on Thursday, November 10, 5:10-6:10PM (in HB 444).
7. The lecture on Wednesday, November 9 will be dedicated to reviewing for the midterm.
* = Remember that in order to apply the phase-plane uniqueness property to x' = f(x), it is necessary to check that all x_i-partials of f exist and are continuous (see your lecture notes).

Midterm 1 will take place on Friday, September 30, IN LECTURE. Here are some facts:

1. The midterm will cover sections 2.1, 2.2, 2.4, 2.6, 2.7, 2.9, 7.1, 7.2, 7.3.
2. An old exam (with solutions) can be found in the "Resources" section on Owl-Space - use it when you study!!
3. No calculators will be allowed!
4. I will have an extra office hour on Thursday, September 29, 5-6PM (in HB 444).
5. The lecture on Wednesday, September 28 will be dedicated to reviewing for the midterm.

Schedule:

Week	Sections Covered	HW Assignment	HW Due Date	Comments
1	2.1, 2.2, 2.4	2.1: 2, 4, 6, 7, 8, 11, 16, 20 2.2: 1, 10, 14, 16, 24, 26, 33, 36 * = omit computer part Point breakdown: 5 (2.2.10) + 5 (2.2.16) + 5 (2.2.24) + 5 (completion) = 20	Monday, 8/29
2	2.4, 2.6	2.4: 3, 6, 8, 22, 26, 38, 41, 43 2.6: 4, 6, 7, 13, 16, 20, 23 Point breakdown: 5 (2.4.6) + 5 (2.4.38) + 5 (2.6.16) + 5 (completion) = 20	Wednesday, 9/7
3	2.7	2.6: 38, 39, 43, 44 2.7: 2, 3, 6, 22, 23, 26 : Hint: the ODE you find in part (a) is homogeneous **: l'Hospital's rule is useful when computing the limits in part (a) Point breakdown: 8 (2.6.38) + 4 (2.7.6) + 8 (completion) = 20	Monday, 9/12	No class on Monday, September 5 (Labor Day)
4	2.9, 7.1, 7.2	2.7: 28, 30 2.9: 9, 10, 20, 22, 28, 30 7.1: 6,8, 22, 26, 34, 38, 54 *: No graph paper part; just find a way to write z as a combination of x and y Point breakdown: 8 (2.9.20) + 3 (7.1.6) + 3 (7.1.38) + 6 (completion) = 20	Monday, 9/19
5	7.2, 7.3, 7.4	7.2: 16, 18, 20, 22, 23, 25, 26, 38 7.3: 6, 7, 16, 17, 20, 22, 26 Point breakdown: 5 (7.2.22) + 5 (7.3.6) + 4 (7.3.16) + 6 (completion) = 20	Monday, 9/26
6	7.5	7.4: 7, 8, 15, 16, 19, 20, 27, 28 7.5: 1, 2, 7, 8 Point breakdown: 9 (7.4.20) + 6 (7.5.8) + 5 (completion) = 20	Wednesday, 10/5	Midterm 1: Friday, September 30 (review on Wednesday, September 28) Midterm 1 Solutions
7	7.5, 7.6	7.5: 9, 10, 14, 15, 21, 22, 41, 44 7.6: 3, 7, 9, 10, 17, 18, 19 Point breakdown: 6 (7.5.14) + 3(7.5.44) + 5 (7.6.3) + 6 (completion) = 20	Wednesday, 10/12
8	7.7, 8.1, 8.2	7.6: 24, 25, 34 7.7: 7, 8, 27, 28, 29, 35, 36, 50, 51 NOTE: for problems in 7.7, please do all computations by hand (no technology) Poink breakdown: 4 (7.6.34) + 4 (7.7.36) + 3 (7.7.50) + 9 (completion) = 20	Monday, 10/17	No class on Monday, October 10 (Midterm Recess)
9	8.3, 8.4, 8.5	8.1: 9, 10, 15, 16, 17, 18 8.2: 21, 22 8.3: 4, 5, 6, 7, 8, 9 Point breakdown: 3 (8.1.10) + 6 (8.3.6) + 6 (8.3.8) + 5 (completion) = 20	Monday, 10/24
10	9.1, 9.2	8.4: 8, 9, 15, 16, 20 8.5: 8, 14, 17, 20, 23 9.1: 10, 11, 16, 21, 24 Point breakdown: 4 (8.5.20) + 4 (9.1.10) +6 (9.1.16) + 6 (completion) = 20	Monday, 10/31
11	9.2, 9.3	9.2: 3, 6, 9, 18, 19, 24, 29, 32, 38, 44, 45, 53 9.3: 10, 12, 15 9.4: 2, 4, 6, 11, 21, 22 * indicates that you don't have to sketch anything on that problem Point breakdown: 4 (9.2.44) + 4 (9.3.10) + 3 (9.4.6) + 9 (completion) = 20	Friday, 11/11
12	9.4	Click HERE for helpful hints before you start working! 9.5: 2, 8, 11, 14, 17, 22, 28, 34, 35 9.6: 2, 3, 4 indicates that you don't have to sketch anything on that problem Point breakdown: 4 (9.5.8) + 4 (9.5.34) + 3 (9.6.4) + 9 (completion) = 20	Friday, 11/18	Midterm 2: Friday, November 11 (review on Wednesday, November 9) Midterm 2 Solutions
13	9.5, 9.6	Click HERE for helpful hints before you start working! 9.6: 6, 7, 9, 10, 13, 15, 16, 18, 21, 26, 29 Point breakdown: 4 (9.6.16) + 8 (9.6.29) + 8 (completion) = 20	Wednesday, 11/23
14	9.6, 9.8	9.8: 6, 11, 12, 13, 16, 17, 24, 30, 36, 43 hint: the only root of the characteristic polynomial is -2 Point breakdown: 4 (9.8.11) + 4 (9.8.16) + 5 (9.8.36) + 7 (completion) = 20	Wednesday, 11/30	No class on Friday, November 25 (Thanksgiving)
15	9.8, 9.9	Suggested problems from 9.9: 1, 3, 5, 21, 22, 23, 26, 28, 29, 31, 33, 34 Click HERE for solutions to 5, 22, 28, and 34 above		Final Exam: 7-10PM on Wednesday, December 7, 2011