(7/28) Please read pp. 1-7, study examples 1,2,3 pp. 30-34 and example 4 p. 36 from the textbook. See topics covered today and homework below. I also gave an extra problem taken from Schaum's book. Ask any of your classmates for these type of problems in the future. Finally, I recommend you to read Section 1.3 on the classification of differential equations. Just for this week I will hold office hours We: 1-3pm and Th: 1-2pm.

(7/30) Please read examples 2,3 pp.42-44 and also examples 2,3,4, pp. 52-57 from the textbook. You may also want to read Ch. 1,2,3 and 6 from the reference book. The extra problem that I gave in class on Monday was taken from the Supplementary Problems section, Ch. 1 from the reference book. This extra problem is not part of the homework due this Friday.

(8/1) Read Ex. 2 of Section 1.1 on direction fields. See also Ex. 1, p. 67; Ex. 3 pp. 68-69; the discussion on the interval of definition of a solution and pp. 69-72 from the textbook. For those of you who need to make up Quiz 1, the maximum possible grade will be 8 out of 10.

(8/4) Read Ex. 1,2 and Theorem 2.6.1, pp. 90-92 of the textbook. If you have time, review on your own the Implicit Function Theorem (see any calculus book). You may want to get more practice on exact first order differential equations from Chapter 4 of the reference book.

(8/6) There is no TA for this course. Read Ex. 1-3, pp. 98-101.

(8/8) Read pp. 130-133 from the textbook. Also, read Ch. 8, pp. 77-82 from the reference book. Rewrite a third order linear differential equation in vector form. I have put a link to the Mathematical Visualization Toolkit, a Java applet developed at the University of Colorado at Boulder. You can draw direction fields with it and do more other things. It runs pretty well with Netscape. I have also posted solutions to some homework problems and quizzes.

(8/10) We have a grader, who now will grade homework more carefully than I was doing. Also, I have posted the review midterm as I promised.

(8/11) The midterm will be on Friday, August 15. Also, Quiz 3 has been rescheduled for Monday, August 18. Finally, homework due this week will be collected on Friday.

(8/14) Solutions to some review midterm problems have been posted.

(8/18) Review pp. 171-175 of the textbook. See also all examples from sections 4.1 and 4.2 of the textbook.

(8/21) The final has been posted. It's due on Friday August 29. You can already start working on Problem #1, parts (a) and (b). The material needed to complement your work in these and the rest of the problems will be covered on Friday 22 and Monday 25's lectures. Also, since I forgot to update the course webpage you have until tomorrow Friday 22 to submit homework #4 in class without penalty.

(8/22) I have corrected some typos in the final. See Problem 1b, an x have been added after the matrix. Also, to use the same notation as in class, I have written vectors with arrows above. The extra credit problem is now Problem 18 of Section § 7.8 of the textbook.

(8/23) Read thoroughly from Section §7.4 to Section §7.9 of the textbook. Please bring your textbook on Monday.

(8/25) We will have an extra class tomorrow Tuesday 26 from 1-3pm at Kerr Hall 283. Also, Rubén Agapito will give a quick getting started tutorial on Mathematica tomorrow from 11am-12:30pm at Social Sciences I, PC lab. Homework #5 is not due .

(8/26) I have posted a Mathematica tutorial in the course webpage. Today, in the extra class, we did bifurcation points and nonlinear homogeneous systems. We analized the phase portrait of a two dimensional nonlinear system (Predatory-Prey model). Tomorrow, I will make a summary of it.

(8/27) I did a summary of what I did yesterday and worked out some examples. It is very important that you come to the last class on Friday 29 or talk to me after class. Important announcements will be made. Also, to help improve this course and UCSC summer session in the future, you will write evaluations. Your opinion matters. Last date to submit your final is Sunday August 31, at 3:30pm at my office.

(9/02) Hello! dear students, as I promised you, I have posted the solution to the final. More than finding full answers to the questions, you will find a report that familiarizes you with Mathematica, version 4.2. Your final scores will be posted on Friday, September 5, and you can pick up your reports on Monday, September 9 at my office. I will be out of town for about three weeks, for which, if for some reason you need to reach me, it will have to be upon my return. I will be in my office on September 29. This said, I wish you all the best in your future endeavors. It was a pleasure to have you as students.