Welcome to Math 211 - Ordinary Differential Equations
Meeting time: MWF 9:00-10:45AM ( June 7th - July 30th)
Location: Sewall Hall 560
Office Hours: MWF 11-12
Office: Herman Brown Hall 420
E-mail: Elena.Pavelescu@rice.edu
Website: http://math.rice.edu/~ep6/math211.html
The text for this course is Differential Equations (2E), Polking,
Bogges, Arnold
We are also going to use the applications to be found at http://math.rice.edu/~dfield/dfpp.html.
A copy of the syllabus in pdf format.
Homework: Homework will be
collected at the beginning of every lecture. Assignments will be announced in class and also posted
online. You are encouraged to work with other students when solving the
homework problems, but you should write up your own solutions. It is important to write clearly, in a
way that tells the instructor that you understand the problem and the solution.
Exams: There will be two take home midterm exams and one in class final exam.
Honor Code: You are expected to abide by the Rice Honor Code. Please visit http://honor.rice.edu/ and read the Student
Handbook.
Note: Any student with a documented
disability requiring accomodations is requested to speak with me during the first few days of classes.
All
such discussions will remain as confidential as possible. Additionally, students also need to contact Disability Support Services in Ley Student Center.
HOMEWORK (You can use the DFIELD and PPLANE applications when
asked to use a numerical solver.)
Homework #1 ( due Friday, June 11th) Section 1.3: 17, 18, 26, Section 2.1: 6, 7, 8, 17, 24, 28
Homework #2 ( due Monday, June 14th) Section 2.2: 10, 15, 18, 27, 40 Section 2.4: 6, 11, 18, 13, 22, 23
Homework #3 ( due Wednesday, June 16th) Section 2.5: 7, 8 Section 2.7: 7, 8, 13, 16. Find partial derivatives with respect to both x and y
for f(x,y) = x^2 ln(xy) and g(x,y)= (xy)^(1/3)e^(x^2y)
Homework #4 ( due Friday, June 18th) Section 2.7: 5, 9, 21, 27, 32 Section 2.8: 18
Homework #5 ( due Monday, June 21st) Section 2.9: 2, 12, 13, 30. Let x(t) be a solution to the initial value
problem x'=(x^3)(x-5), x(0)=2. Find lim as t--> infinity x(t). Carefully justify all the claims you are making.
Homework #6 ( due Wednesday, June 23rd) Section 4.1: 24, 26, 29. Section 4.3: 26, 32, 35.
Homework #7 ( due Friday, June 25th) Section 4.3: 34, 36
Section 4.5: 18, 23, 27, 33, 38, 41
Homework #8 ( due Wednesday, June 30th) Section 4.6: 1, 14
Section 7.1: 9, 17, 20, 26, 38, 40. Let A be a 3x3 matrix such that AB=BA for all 3x3 matrices B. Show that A is of the form A=aI (where I is the identity 3x3 matrix and a is a real number).
Homework #9 ( due Friday, July 2nd) Section 7.2: 36
Section 7.3: 5, 8, 10 Section 7.4: 15, 22, 28 Section 7.5 : 3,4 Extra Problems
Homework #10 ( due Wednesday, July 7th) Section 7.5: 10, 13, 22, 29, 37 Extra/ Bonus Problems
Homework #11 ( due Friday, July 9th) Section 7.6: 23, 32, 34. Section 7.7: 11, 12, 38, 46, 51.
Homework #12 ( due Monday, July 12th) Section 8.1: 9, 16, 18
Section 8.2: 5, 8, 17, 24
Homework #13 ( due Wednesday, July 14th) Section 8.2: 26
Section 8.3: 5, 6, 8, 15
Homework #14 ( due Friday, July 16th) Section 8.4: 26
Section 8.5: 22, 25 Section 9.1: 12, 16, 25 (also check linear
independence in 16 and 25)
Homework #15 ( due Monday, July 19th) Section 9.2: 6, 13,
17,
33, 39
Homework #16 ( due Wednesday, July 21st) Section 9.3 12,
15, 17, 21, 22
Homework #17 ( due Friday, July 23rd) Section 9.4 13, 20
Section 9.5 10, 26, 32
Homework #18 ( due Monday, July 26th) Section 9.6 2, 19,
28, 35, 39
Homework #19 ( due Wednesday, July 28th) Section 9.8 26,
31, 43 Section 9.9 3, 6, 14
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