## Math 21D: Introduction to Differential Equations, Spring 2003

Office: APM 5256, tel. 534-2734

Office hours: MW 4-5, F1:30-2:30

Teaching assistants: Sean Raleigh (sraleigh@euclid.ucsd.edu) office hours: Tuesday and Thursday from 4:00 to 5:30 in APM 6402A, Jason Bandlow (jbandlow@math.ucsd.edu) office hours Tu: 1:00-3:00 and Fr: 2:00-3:00 in APM 6337 Caleb Emmons (cemmons@math.ucsd.edu) Monday and Wednesday 10:30 - 12:00 in APM 2202

Computation of grade: The grade is computed from your scores in the final (45%), 1 midterm (20% ), quizzes in sections (best 7 out of 9) (20%) and matlab problems (15%).

Dates of exams:

Midterm: 5/7

Quizzes: in sections, starting 4/8

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

Matlab assignments need to be turned in at the beginning of your section. It is very important that you do the homework problems. You need not turn them in, but the quiz problems as well 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:

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 4/8: Section 11.1: 8, 20, 27 (see example 4), 38, 62, Section 11.2: 20, 24, 34, 44, Section 11.3: 4, 8, 10, 16, 22, 30

due 4/15: (Stewart) Section 11.4: 1, 3, 7, 9, 19, 29, 35, Section 11.5: 1, 5, 7, 11, 23, Section 11.6: 5, 14, 22, 24, 29, 31, Section 11.8: 3, 5, 6, 15, 21, 29, 31,

due 4/23: (Stewart) Section 11.9: 1, 5, 7, 17, 19, 29, 34, Section 11.10: 3, 9, 15, 25, 27, 35, Section 11.11: 1 Section 11.12: 15ab, 31,

due 4/30: (Boyce/diPrima) Section 1.1: 5, 11, 14, Section 2.1: 3, 6, 10, 13, 20, Section 2.2: 5, 10, 11, Section 2.3: 3, 7, 12, Section 2.4: 6, 11, 16

relevant for midterm: Section 2.5: 6, 11, 22, Section 2.8: 3a, 7a, Section 3.1: 3, 4, 9, 11, Section 3.2: 2, 5, 7, 11, 14, 21, Section 3.4: 1, 7, 18

due 5/11: Section 3.4: 22, 25, Section 3.5: 7, 12, 16, 23 (see Example 3), Section 3.6: 1, 6, 7

due 5/18: Section 3.7: 3, 10, 17, Section 3.8: 1, 6, 26, Section 3.9: 4, 5, 7a, Section 5.2: 1, 5

due 5/27(prelim): Section 5.2: 10, 21, Section 5.3: 6, 10ab, Section 5.4: 6, 11, 20 Section 5.5: 1, 5, 11

MIDTERM: on 5/7 in class room. The material will go over all the posted homework assignments, up to Section 3.4. See below for practice midterms. There will be a review session at York 2622 on 5/5 from 5:30-7:20pm, given by Sean Raleigh.

Click below for a practice midterm.
Here are more practice midterms, together with solutions. For the second exam, you need not worry about exact equations and, in particular, you need not worry about problem 1c.
MATERIAL FROM PREVIOUS COURSE: Below this line you can find homework assignments from a previous course. While the assignments for this course will be slightly different, they may give you a pretty good idea what will be done in this course.

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: You are allowed to use one hand-written cheat sheet, but no calculators, books or other notes. Bring paper.