Math 21D: Introduction to Differential Equations, Spring 2002

Office: APM 5256, tel. 534-2734

Office hours: M4-5:30, W4-5:30 and by appointment

Teaching assistants: Yana Mohanty (mohanty@euclid.ucsd.edu) (office hours: M 2:30-4:30 AP&M 6402E, Tue 12:20-1:10 AP&M 6402E Th 12:05-1:00 CLICS), Li Yu (lyu@math.ucsd.edu) and Beate Winkelmann (bmwinkelmann@ucsd.edu) (office hours: TuTh 9:55-10:45)

Computation of grade: The grade is computed from your scores in the final (45%), 1 midterm (20% ), quizzes in sections (best 3 of 4) (15%), matlab problems (10%) and homework (10%).

Dates of exams:

Midterm: 5/10

Quizzes: 4/16, 4/23, 5/21, 6/4

Course material: We will use the following books:

1. J. Stewart, Calculus: Early Transcendentals, 4th ed. (Chapter 11 only)

2. W. Boyce and R. DiPrima, Elementary Differential Equations, 7th ed. (chapters 1-3,5,6)

3. J. Polking and D. Arnold, Ordinary differential equations using Matlab, 2nd. edition

Homeworks and Matlab assignments need to be turned in at the beginning of your section, and selected problems will be graded. It is very important that you do the homework problems as most of the exam problems will be variations of homework problems. The homework problems are listed further below. You can find the matlab problems at the following link:

matlab problems

You will find all the relevant information about matlab on the following webpage (in particular, also read the policy on academic integrity if you plan to collaborate with someone else to avoid unpleasant surprises!)

http://www.math.ucsd.edu/~mohanty/spring02/math21D.html

Homework assignments

Disclaimer: I will try to get the homework assignment on the net in time. Due to time and other limitations, this may not always be possible. The fact that there is no assignment posted for a particular date does therefore NOT necessarily mean that no homework is due.

due 4/9: Section 11.1: 5, 8, 10, 20, 22, 27, 61, Section 11.2: 5, 7, 17, 24, 29, 44, Section 11.3: 4, 8, 10, 16, 30

due 4/16: Section 11.4: 2, 4, 6, 8, 20, 30, 36, Section 11.5: 1, 4, 6, 10, 24, 26, Section 11.6: 6, 14, 22, 24, 30, 32,

due 4/23: Section 11.8: 3, 5, 6, 15, 21, 29, 31, Section 11.9: 1, 3, 7, 17, 19, 34, Section 11.10: 3, 9, 15, 25, 27, 35,

due 4/30: Section 11.10(Stewart) 42, 46, following assignments all from the book by Boyce/di Prima: Section 2.1: 7(c), 10(c), 14, 15, Section 2.2: 4, 13(a), 14(a), Section 3.1: 3, 4, 10, 11

due 5/7: (Boyce/di Prima) Section 3.4: 1, 15, 18, 25, Section 3.5: 9, 11, Section 2.4: 2, 13, Section 2.8 3(a), 7(a), Section 3.2: 2, 5, 9, 14, 22

due 5/14: Section 3.3: 3, 10, 12, 20, 24 (fundamental set of solutions here means: 2 linearly independent solutions), Section 3.6: 2, 4, 13,

due 5/21: Section 3.7: 7, 14, 17, Section 5.2: 1, 5, 10, Section 5.3: 6, 10ab

due 5/28: Section 5.4: 6, 11, 20, Section 5.5: 1, 5, 11, Section 5.6: 1, 8 (solution only for larger root), 12

due 6/4: Section 6.1: 5, 9, 13, 16, Section 6.2: 5, 6, 12, 16, 21, Section 6.3: 7, 9, 16,

additional problems relevant for final: Section 6.4: 1, 3, 8, (you can find the solutions in the solutions manual)

Final: The final takes place on Friday 6/14, 11:30-2:30 in MANDEVILLE AUDITORIUM (south of Sun God). The material goes over the whole course, but with an emphasis on the material after the midterm. You are allowed to use one hand-written cheat sheet, but no calculators, books or other notes. Bring paper.