Introduction to differential equations

Math 3D. Introduction to differential equations (Fall 2008)

Course Code: 44505

Meeting Information

Room: PSCB 120

Day & time: M W F 9:00am to 9:50am

Midterm: Monday, November 3, 9:00-9:50 am

Final Exam: Wednesday, Dec. 10, 8-10 am

Instructor Information

Instructor: Anton Gorodetski
Email: asgor@uci.edu
Phone: (949) 824-1381
Office Location: 510G Rowland Hall
Office Hours: Monday, 10-11 am, or by appointment.

Teaching Assistant: Chris Marx
Email: cmarx @ math.uci.edu
Office Location: 420 Rowland Hall
Office Hours: Monday, 2-3 pm, and Friday, 2:30-3:30 pm.

Required text: Differential Equations and Their Applications (4th edition) by Martin Braun

Grading: Weekly quizzes 30%, midterm exam 25%, final exam 45%.

Homework and quizzes: Homework problems will be assigned every Wednesday. Homeworks will not be collected, but the better you tried on the homework problems, the better you'll perform on the quizzes (and, certainly, exams). Quizzes will be given in the discussion sections on Thursday once every non-exam week. They are mandatory and will affect your grade (30%). Every quiz takes about 20 minutes. There will be two problems, both similar to some of the homework problems. Two lowest quiz grades will be dropped from the final grade calculation. There will be one midterm and one final exam.

Extra-credit quiz: Participation is voluntary.
*   Participation can only improve your performance. It gives you a chance to improve the score you earned in the quizzes.
Upon participation, this set of problems counts as an additional quiz you completed. Should you participate, the quizzes with the three lowest scores will be dropped; this is one more than what would be dropped without participation. This means, should you do worse than your lowest quiz score so far, than the extra credit quiz will be the third quiz dropped. Should you do well, than you have the opportunity to exchange your lowest quiz score.
*   This is a take home quiz. It is due Wednesday, November 26, at the beginning of class (9:00 AM).
*   You can use whatever material (books, internet, lecture notes, etc.) you wish. You have to however do the problems ON YOUR OWN. Communication with other human beings about these problems is not permitted.
*   Show all your work and clearly define all the symbols you use.

Homework

Homework 1 (to be completed on or before Wednesday, October 8) : Section 1.2, ex. 1, 5, 11, 17; Section 1.4, ex. 2, 3, 4. Also, read Section 1.3 ("The Van Meegeren art forgeries"), pp. 11-17.

Homework 2 (to be completed on or before Wednesday, October 15) : Section 1.4, ex. 7, 12, 14, 16, 18, 20; Section 1.9, ex. 4, 7, 9, 12, 16, 18. Also, read Section 1.5 ("Population models"), pp. 26-36.

Homework 3 (to be completed on or before Wednesday, October 22) : Section 1.10, ex. 1, 2, 7, 10, 19; Section 2.1, ex. 1, 4, 5, 7, 8, 14, 15; Section 2.2 (page 140), ex. 1, 3, 7. Also, read Section 1.8 (a) ("The dynamics of tumor growth"), pp. 52-53.

Homework 4 (to be completed on or before Wednesday, October 29) : Section 2.2 (page 144), ex. 1, 2, 3, 5, 9; Section 2.2 (page 149), ex. 1, 3, 7, 8, 11, 15; Section 2.3, ex. 1, 2, 3, 4, 5; Section 2.4, ex. 3, 7, 10.

Homework 5 (to be completed on or before Wednesday, November 5) : Section 2.5, ex. 1, 3, 5, 11, 15; Section 2.6 (page 172), ex. 2, 3, 6; Section 2.8 (page 197), ex. 3, 5, 7; Section 2.9, ex. 15, 16, 17, 19. Also, read Section 2.6.1 ("The Tacoma Bridge disaster"), pp. 173-175.

Homework 6 (to be completed on or before Wednesday, November 12) : Section 2.9, ex. 1, 2, 5, 7, 19, 23; Section 2.10, ex. 1, 15, 19, 21. Also, read Section 2.7 ("A model for the detection of diabetes"), pp. 178-184.

Homework 7 (to be completed on or before Wednesday, November 19) : Section 2.10, ex. 16, 23; Section 2.11, ex. 1, 3, 5, 7, 11; Section 2.15, ex. 1, 2, 3, 4, 5, 6, 7, 8. Also, review the main notions of the linear algebra (linear spaces, vectors, linear operators, matrices, eigenvalues, eigenvectors, determinants, i.e. the content of Sections 3.1-3.3, 3.5-3.7). Here you can find answers to the even-numbered problems.

Homework 8 (to be completed on or before Wednesday, November 26) : Section 3.1, ex. 1, 3, 5, 7, 9, 11, 12, 13, 14; Also, review vectors, matrices, eigenvalues, eigenvectors, determinants, etc. Here you can find answers to the even-numbered problems.

Homework 9 (to be completed on or before Wednesday, December 3) : Section 5.3, ex. 1, 5; Section 5.4, ex. 5; Section 3.2, ex. 1-11; Section 3.3, ex. 7, 9; Section 3.8, ex. 2, 3, 5, 7, 9, 14, 15, 16; Section 3.9, ex. 1, 3, 5, 7. Here you can find answers to the even-numbered problems.