Math
221-- Differential
Equations

Fall 2011Instructor: Petronela Radu; Avery Hall 239; 472-9130; E-mail: pradu@math.unl.edu

Office Hours: 12:30 - 2:00 pm Tuesday & Thursday or by appointment

Schedule
of classes: 9:30 -10:45 TuTh Avery Hall 118

Text: C. Henry Edwards and David E. Penney. Differential Equations : Computing and Modeling, Fourth Edition, Pearson Education, Inc.

Final Exam: A
comprehensive
final examination will be given on Wednesday, December 14, 10:00--12:00 ----
Avery Hall 118Text: C. Henry Edwards and David E. Penney. Differential Equations : Computing and Modeling, Fourth Edition, Pearson Education, Inc.

You must arrange your personal schedule to permit you to take the final exam at the regularly scheduled time.

Computer Lab / Calculators: Students can use the computers from the Mathematics Department Computer Laboratory in Avery 18 with their university account (go to http://activedir.unl.edu to activate it). In this section of the course, we will use Maple for gaining more insight into the material. Student versions of Maple or Mathematica are available for purchase in the campus computer shop. During the semester at least two or three lectures will be held in the Computer Laboratory (Avery 18), so we will get familiarized with simple programming in Maple and also with using the computer to solve differential equations. The use of calculators is allowed for homework, and on some exams. The use of any other electronic device (cell phones, ear pieces etc.) is not be permitted during class time or during exams.

Homework: The homework will be announced in class and posted on the web site every week. The homework will be collected on Thursdays before class and problems selected by the instructor will be graded.

Week 08/22 - 08/26 (due 09/01) 1.1 pg. 8-9: 6, 8, 15, 24, 26, 30, 35

1.2 pg. 16-18: 4, 5, 9, 18, 22, 25, 30

1.3 pg. 26-29: 3, 8, 12, 15, 21, 27

Week 08/29 - 09/02 (due 09/08) 1.4 pg. 43 --46: 5, 13, 17, 21, 31, 38, 43

1.5 pg. 5, 11, 15, 32, 37

Week 09/05 - 09/09 (due 09/16) 1.6 pg. 74-75: 7, 14, 29, 38, 47

2.1 pg. 87-90: 4, 9, 18, 21, 24

Week 09/12 - 09/16 (due 09/23) 2.2 pg. 98-99: 4, 9, 23

2.3 pg. 108-109: 1, 4, 20

2.4 pg. 121-122: 5, 9; Find the exact solution and the approximation only for h=0.1 in 12, 13, 15; Find the approximation only for h=.05 in 19, 23.

Week 09/26 - 09/30 Review and Exam 1.

Homework 5 (due Tuesday, 10/11). Construct a differential equations model inspired by a phenomenon or process described in a newspaper article that you read during last month. Perform a quantitative and qualitative analysis of the model. Please cite the online reference for the article and/or include a photocopy of it. Your homework grade will depend on the completeness of the model description, good explanation of assumptions made, rigor of arguments, quality of graphs and/or other programming techniques used. Your final write-up should be at least 2-3 pages long (it is recommended that you type it single spaced).

Week 10/03 - 10/07 (due Thursday, 10/13) 3.1 pg. 158 -160: 6, 16, 18, 22, 27,35, 52

3.2 pg. 170 -172: 3, 18, 24, 26, 39

Week 10/10 - 10/14 (due Tuesday, 10/25) 3.3 pg. 183 -184: 3, 11, 19, 25, 34, 37, 40.

3.5 pg. 210 -211: 3, 18, 24, 26, 39, 48

Week 10/24 - 10/28 Review and Exam 2.

Week 10/31 - 11/04 (due Tuesday, 11/08) 4.1 pg. 255 - 256: 3, 5, 15, 20, 21, 26.

5.1 pg. 301 - 303: 2, 4, 18, 25, 29, 33

Week 11/07 - 11/11 (due Tuesday, 11/15) 5.2 pg. 316-317: 6, 11, 30.

5.4 pg. 341-343: 3, 5,6,16, 24, 27, 29.

Week 11/14 - 11/18 (due Tuesday, 11/22) 6.1 pg. 381-382: 1-8; Use Maple for 10, 14, and 17, 24.

6.2 pg. 395-397: 5, 8 (use Maple)

6.3 pg. 402-406: 26-34 -- ONLY the first part: describe the interaction of the populations.

Print out the graphs in Maple and attach them to your homework.

Week 11/28 - 12/02 (due Monday, 12/05) 7.1 pg. 450-452: 3, 9, 13, 28, 32

7.2 pg. 455-456: 4, 13, 19.

7.3 pg. 472: 5, 15, 30.

Week 12/05 - 12/09 (due Friday, 12/09) 7.4 pg. 481: 5, 8, 16.

7.5 pg. 484-485: 4, 15

7.6 pg. 502-503: 2, 6, 9.

Project: There will be one project assigned in this class on which you may work individually, or in a group. You may be tested on the material from the project on tests and/or on the final exam!

Project (assigned Tuesday, 10/11 - due Tuesday, 11/22 - Prices in a Free-Market Economy

Assessment: Your final grade will be computed based on the following scheme.

15 % Project

15% Homework

15 % Exam 1

15 % Exam 2

15 % Exam 3

25 % Final Exam

Announcements:

Exam 1 will be administered in class on Thursday, September 29. We will have a review session in class on Tuesday, September 27.

Review problems for Exam 1.

Exam 2 will be administered in class on Thursday, October 27. We will have a review session in class on Tuesday, October 25.

Course Policy: Class attendance is expected. If you miss a class it is your responsibility to get the material from your colleagues.Make-up exams will be administered only in extreme cases. Cheating will be penalized by at best giving a lower letter for the course grade.

This course satisfies ACE Outcome 3. You will apply mathematical reasoning and computations to draw conclusions, solve problems, and learn to check to see if your answer is reasonable. Your instructor will provide examples, you will discuss them in class, and you will practice with numerous homework problems. The exams will test how well you've mastered the material.

Department Grading Appeals Policy: The Department of Mathematics does not tolerate discrimination or harassment on the basis of race, gender, religion, or sexual orientation. If you believe you have been the subject of discrimination or harassment---whether in this or any other math course---please contact the department. If, for this or any other reason, you believe your grade was assigned incorrectly or capriciously, appeals may be made to (in order) the instructor, the department chair, the departmental grading appeals committee, the college grading appeals committee, and the university grading appeals committee.

If you have any questions or suggestions, please feel free to bring them up!

Introduction to some Maple commands

The motion of a spring in Maple

Systems of Differential Equations in Maple - exact solutions, plots, eigenvectors and eigenvalues