MAT022B Homepage

Section 001, Ju Wang, CRN 59234.

You can view and print the syllabus for Ju Wang's section in Postscript or PDF format.

Office hours of the Section 1 TA's and Instructor:
Lai, Miu-Ling, Wednesday, 2:00 pm - 4:00 pm , Kerr Hall 476
McAlister, Tyrell , Tuesday, 12:00 noon -- 2:00 pm, Kerr Hall 467
Wang, Biao Monday, 1:30 pm -- 2:30 pm, Kerr Hall 468
Zhou, Xun, Friday, 2:00 pm -- 3:00 pm, Kerr Hall 461
Wang, Ju MWF , 10:30 -- 12:00, Thursday, 3:00 pm -- 4:00 pm, 480 Kerr (for both 16B and 22B)

Section 003, Tom Michoel, CRN 72631.

See Tom Michoel's class webpage. Tom Michoel's class webpage .

Section 002, Bruno Nachtergaele, CRN 59235.

MAT22B, Differential Equations, offers an introduction to elementary differential equations for functions of one real variable, the so-called Ordinary Differential Equations (ODE). In spite of this name, the range of applications of ODE is actually quite extra-ordinary. They play a fundamental role in all of the sciences, pure and applied, hard and soft. In this course, we will study a wide variety of ODE, learn how to find their solutions by an equally wide variety of methods, and learn how to interprete these solutions in the context of applications.

You should read the General Information sheet ("syllabus") for this course. You can download it in Postscript or PDF format.

The Lecture Schedule lists the topics covered in each lecture (approximately), as well as the dates and material covered for the midterms an the final exam. You can download it in Postscript or PDF format.

Check your email regularly! I will use email to make announcements (e.g., about homework and exams) and I will often not repeat these announcements in class. E-mail messages to the MAT22B e-mailing list are collected in a the Web Archive .

Example Midterm # 1 in Postscript or PDF format.
Solution set for Example Midterm # 1 in Postscript or PDF format.
Solutions Midterm # 1 in Postscript or PDF format.
Example Midterm # 2 in Postscript or PDF format.
Solution set for Example Midterm # 2 in PDF format.
Solutions Midterm # 2 in PDF format.
Example Final Exam in Postscript or PDF format.
Solutions for the Example Final Exam in Postscript or PDF format.

Homework Assignments:

Homework is due at the beginning of the class on the due date, usually a Monday. The exercise numbers in bold are to be handed in as homework. The rest of the assigned problems are recommended exercises. The numbers refer to the section and exercise numbers in the text. Graded homework will be returned by the TA, in his/her office hour. The solution sets are only available after the due date!

Selected Solutions HW 1 in Postscript or PDF format.
Selected Solutions HW 2 in Postscript or PDF format.
Selected Solutions HW 3 in Postscript or PDF format.
Selected Solutions HW 4 in Postscript or PDF format.
Selected Solutions HW 5 in Postscript or PDF format.
Selected Solutions HW 6 in Postscript or PDF format.
Selected Solutions HW 7 in Postscript or PDF format.
Selected Solutions HW 8 in Postscript or PDF format.
Selected Solutions HW 9 in Postscript or PDF format.
Selected Solutions HW 10 in Postscript or PDF format.

All homework assignments .

Helpful and Interesting:

In this section I will post materials that can help you mastering the course material.

From time to time I will mention interesting things you can do with Matlab. If you don't have easy access to this software, you can get a class account on the mathematics servers, which have Matlab and lots of other useful sofware. A nice Matlab program to draw direction fields can be obtained from John Polking's webpage at math.rice.edu/~polking/.

Here are the m-files (Matlab programs) used for the demonstrations in class: dfield5.m, eg_euler.m, eg_logistic.m , eg_bifurcation.m , pplane5.m.

An example of really bad resonance: the Tacoma bridge disaster.

The above link shows an excerpt of the world famous movie of the 1940 collapse of the Tacoma Narrows bridge over Puget Sound, at its time the third largest suspension bridge in the world. Engineers did not take into account or underestimated the high winds in Puget Sound which eventually brought the bridge into a resonance oscillation and lead to its collapse. There's plenty of information about this event on the web, just do a Google search.

Prof. Craig Tracy wrote a set of very nice notes introducing ODE from the point of view of the modeling of oscillations. You can download it in Postscript or PDF format.

Instructor:

Bruno Nachtergaele, Department of Mathematics, 669 Kerr Hall.
E-mail: bxn@math.ucdavis.edu
Phone:   + (530) 750-1962 (home)
                + (530) 752-8061 (office)
                + (530) 752-6635 (fax)
Homepage: http://www.math.ucdavis.edu/~bxn/