Math 20D. Introduction to Differential Equations

Math 20D. Differential Equations - Spring 04 - Hans Lindblad

ANNOUNCEMENTS:

Meetings Texts Exams Review Practice Exams Syllabus Schedule Summary of lectures Homeworks Matlab

Meetings

Lecture: MWF 3.00-3.50 in HSS 2250. Lecture schedule and notes available below.
Computer Labs: Thursdays Matlab in CLICS same time as your section (starting first week)
Section: Tuesdays. Hand in your homework in your section, solutions will be available below.
Office Hours:    Instructor: Hans Lindblad: M 5-6 in AP&M 7220 ; lindblad@math.ucsd.edu
TA: Hongxin Guo    M 9-11, Tu 4-5 in AP&M 6402B    hguo@math.ucsd.edu
TA: Carlos Arreola    Th 2-3, F 2-3 in AP&M 2325    carreola@math.ucsd.edu
TA: Aaron Wong    M 11-12, Th 12-1 in AP&M 2250    awong@math.ucsd.edu
More help: Tutoring Lab, OASIS, Private Tutoring

It is important that you have a look at the material before the lectures since it will help you to follow the lectures, see the schedule where you also find lecture notes. Please ask questions in lectures, since if you don't quite understand something others may not understand either, and the explanations will help everyone understand better and keep the lectures at a pace you can follow. The best way to learn math is by doing examples so try to do all the homework problems and more similar problems. Let us know if you have any complaints and suggestions for improvements.

Texts

Stewart, Calculus: Early Transcendentals, 5/e Brooks/Cole, 2003, Chapter 11.
Boyce and DiPrima, Elementary differential equations 7/e John Wiley 2002, Chapters 1-3, 6-7.

It can be helpful with different perspectives. Books on reserve in the library and links below have helpful material, IDEA. Online Lectures. There are many similar books, e.g. Nagle, Saff, Snider, Fundamentals of diff. eqns , Edwards, Penny Diff eqns, computing and modelling Some new books start with qualitative study of systems of diff. eqns and linear systems: Conrad, Diff. eqns a systems approach, and Blanchard, Devaney, Hall, Diff. eqns For matlab Polkin, Arnold, Ordinary diff. eqns using matlab,. For further study, of ordinary diff. eqns Math 130A, B, of partial diff. eqns and Fourier series 110A, B

Exams

1st Midterm Test will be given on 4/19 during class time. It covers ch. 11 in Stewart.
2nd Midterm Test will be given on 5/17 during class time. It covers ch 1-3 in Boyce-DiPrima.
Final Examination will be given on 6/7, 3-6pm. It covers ch. 1-3, 6-7 in Boyce-DiPrima.

Bring identification to exams. No calculators, books or notes are allowed in exams, but this page of formulas will be printed on the 1st midterm, this page on the 2nd and this page on the final. No make-up exams. The exams cover material in homeworks due before the exams, and corresponding lectures and reading, see review and practice exams. Questions about the grading should be brought up with your TA. Solutions to midterms will be given in sections.

Review and Practice Exams.

Review for 1st Midterm Test: Sunday 4/18, 5-6pm in HSS 2250
Review for 2nd Midterm Test: Sunday 5/16, 5-6pm in HSS 2250
Review for Final Test: In class Friday 6/4.

Schedule and summary of lectures (tentative)

It is important that you have a look at the material before it is covered in the lectures. Why? If you click on the day you might find a summary of the lecture without the important pictures though.

wk	date	Monday	Wednesday	Friday
1	3/29	11.1	11.2-3	11.4-5
2	4/5	11.6	11.8-9	11.10
3	4/12	11.10,12	1.1-2	2.1-2
4	4/19	Exam	2.3	2.4-5
5	4/26	2.7-8	3.1-2	3.2,3.4
6	5/3	3.5-6	3.6-7	3.8-9
7	5/10	5.2-3	6.1-2	6.2
8	5/17	Exam	7.1-2	7.3-(4)-5
9	5/24	7.5	7.6, 7.8	7.7
10	5/31	Holiday	7.9	Review

The first part is about sequences and series, in particular Taylor series, used to approximate functions. The main part is about differential equations, that describe many phenomena in science and engineering. We study the first part in less depth. Propsed update of the syllabus using Conrad.

Matlab Computer Assignments: http://www.math.ucsd.edu/~math 20d/

Textbook Homework Assignments (tentative)

All homeworks should be handed in, but we only have resources to grade 3-4 problems per set and some sets might be returned ungraded. The lowest homework score will be discarded. Solutions to homeworks will be available for download below af ter they are due. Attempt to solve all problems yourself to learn it. Why?

wk	sectiondate	Homework Due 6pm after section in box 6th floor APM. No late homeworks.	Solutions
1	4/6	11.1:16,20,40, 11.2:3,7,27, 11.3:2,17,20, 11.4:10,20,35, 11.5:10,16,24, 11.6:5,9,11
2	4/13	11.8: 10,16,19,29,38, 11.9: 1,2,6,14,27,32, 11.10: 11,17,33,38,48,61, 11.12: 13,25,27
3	4/20	1.1: 1, 2, 11, 13, 1.2: 1a, 2a, 2.1: 1, 2, 7, 10, 13, 14, 2.2: 1, 2, 9, 10.
4	4/27	2.3: 1, 7, 15, 19, 23, 2.4:* 1, 15, 2.5: 1, 10, 14, 15, 22, 2.7: 2, 2.8: 3.
5	5/4	3.1: 1, 9, 3.2: 23, 24, 3.4: 1, 7, 17, 18, 29, 30, 31, 3.5: 1, 11, 21, 22.
6	5/11	3.6: 1, 2, 6, 14, 32, 34, 3.7: 1, 5, 12, 23, 3.8: 1, 6, 8, 13, 3.9: 1, 6, 8, 5.2:* 1, 5.
7	5/20	6.1: 6, 13, 15, 6.2: 1, 2, 5, 6, 11, 21, 22.
8	5/25	7.1: 2, 7a, 7.2: 10, 22, 7.3: 14, 15, 16, 17, 7.4:* 1, 4, 7.5: 1, 2, 7.
9	6/1	7.6: 1, 2, 9, 28, 7.7: 3, 6, 11, 12, 16. 7.8: 1, 2, 7, 8, 15, 16, 19.

Grades

The grade is based on a total score calculated from 10% homeworks 20% each midterm and 50% final. The grade distribution follows a curve with median grade a low B and median plus standard deviation an A-. About 25% get As (i.e. A+, A or A-), 35% get Bs, and 30% get Cs. The exact percentages are adjusted depending on various factors. Typically it ends up that you need about 80% total score for A-, 65% for B- and 40% for C-, depending on the exams.