Prof. H.R. Miller, Dept. of Mathematics 2-237, hrm@math.mit.edu.
Various recitation instructors will be having question-and-answer
sessions.
On Tues. May 18:
S. Soloviev (2-3 pm, 2-229), S. Lototsky (3-5 pm, 2-131),
P. Bressler (6-8 pm, 2-135), C. Young (6-8 pm, 2-132).
A practice final exam, with solutions, is available on the exam page below.
Caution: in an earlier version, the Laplace
transforms of sin and cos were accidentally swapped on the "crib sheet"
portion of the practice final; they have now been corrected.
Further cautions: the answer given to problem 3 is wrong; the true
answer is y2 = .01. Also, in 11(a), (1,1) is a saddle, not a proper node.
(The solution files have been corrected.)
Changes in PS8.5: The expression in 37(d) should have a 4/pi in front of it. The picture labeled 38(c), t=.01, on the back page, is in fact 38(b), t=10. Also, the pictures labeled 38(d), t=.1, t=1, and t=10, are in fact the pictures for t=.01, t=.1, and t=1. The picture for t=10 is indistinguishable from the one for t=1. Part I problem 38 should be 8.5: 1, 4.
Correction to the syllabus: Class 39 is a course review. Correspondingly, Part I problem 39 is replaced with "nothing new."
A summary of the topics covered in the course, courtesy of Recitation Instructor Edward Early, is available here in postscript, dvi, and pdf formats.
Some Matlab peculiarities can be found here.
Lectures: Monday, Wedesnday, Friday at 1:00 in 54-100 and at 2:00 in 10-250. Professor Haynes Miller (2-237, 3-7569, hrm@math.mit.edu). Office Hours: variable; announced in lecture and on my home page.
Texts: Edwards and Penney, Elementary Differential Equations with Boundary Value Problems, Third Edition; Polking, Ordinary Differential Equations using Matlab (bundled with Edwards and Penney at the Coop); and 18.03 Notes, Problems, and Solutions, sold by Graphic Arts in the basement of Building 11.
Study of ordinary differential equations. Standard solution methods for one first-order equation, including graphical and numerical methods. Higher-order forced linear equations with constant coefficients. Complex numbers; Laplace transform. Matrix methods for first-order linear systems with constant coefficients. Non-linear systems; phase-plane analysis. Series solutions to second-order equations. Fourier series solutions. Modeling of physical problems and interpretation of the analytic or graphical solutions.
Course information
Recitation Instructors
| Instructor | Office | Recitation time (Tu-Th) | Office hours | |
|---|---|---|---|---|
| P. Bressler | 2-167 (x4397) | 11 (4-145), 12 (4-145), 2 (2-136) | W 3-4 and by appt. | bressler@math.mit.edu |
| K. Consani | 2-165 (x3669) | 9 (2-135), 10 (2-142), 11 (2-142) | Th 5-6 | katia@math.mit.edu |
| H. Derksen | 2-248 (x4981) | 12 (2-135), 1 (2-142) | M 4-5, Tu 2-3 | hderksen@math.mit.edu |
| E. Early | 2-101 (x3299) | 9 (2-139) | Tu 10-11, W 4-5 and by appt | efedula@mit.edu |
| D. Freedman | 2-381 (x4354) | 10 (2-139), 11 (4-149), 2 (4-153) | Tu 3-4 and by appt. | dzf@math.mit.edu |
| I. Gerhardt | 2-191 (x3299) | 1 (1-273) | TBA | ifghardt@mit.edu |
| M. Greenblatt | 2-180 (x4350) | 12 (2-143), 2 (26-314) | Tu Th 3:30-4:30 | mgg@math.mit.edu |
| G. Kunin | 2-101 (x3299) | 1 (1-242) | WTh 4 | gkunin@mit.edu |
| A.-K. Liu | 2-279 (x3214) | 10 (8-105), 11 (2-143), 1 (4-153) | Tu We 4-5 | akliu@math.mit.edu |
| S. Lototsky | 2-267 (x4079) | 12 (4-149), 1 (4-149) | Tu Th 2-3 | lototsky@math.mit.edu |
| A. Postnikov | 2-334 (x7775) | 12 (4-153), 2 (2-139), 3 (2-135) | Tu Th 5-6 | apost@math.mit.edu |
| A. Soloviev | 2-229 (x1589) | 2 (1-150) | Th 3:30-4:30 | sashas@math.mit.edu |
| R. Vakil | 2-248 (x4981) | 9 (2-147), 10 (4-145) | W 9-11 | vakil@math.mit.edu |
| B. Yang | 2-251 (x7566) | 12 (1-277) | Th 2:30-3:30 | ybz@math.mit.edu |
| C. Young | 2-487 (x4083) | 3 (2-131) | Th 8-9 (coffeehouse @ Stud. Ctr.) | carmen@math.mit.edu |
| L. Zhang | 2-492 (x4093) | 2 (38-166) | Tu 5-6 | zhanglz@math.mit.edu |