OFFICE: Math 612
OFFICE HOURS: Monday, 2-3, or by appointment
PHONE: (765) 494-1975
EMAIL: eremenko@math.purdue.edu
GENERAL INFORMATION
QUESTIONS AND ANSWERS
.pdf .ps DETERMINANTS
Homework 1 (due August 29, before the class starts) p.301: 8,12,16,20,24*,
p.308: 8,10,18,22, p.313: 6,7,8,12.
Homework 2 p.328: 26, p.348: 2,6, p.352: 2,4, p.361: 4,6, p.372: 4,6, p.378: 4,8,
p.387: 2, 16*, 18, 19(a), 22.
Homework 3 p. 405: 4,10,22,26, p. 417: 2,10,18, p. 456: 2, p. 461: 2,8.
Attention:
1. There is a mistake in the book in probl. p. 456:2. The "solution"
written in the book is not a solution.
2. Problem p. 405: 22 is somewhat hard. If your efforts to solve it fail,
read the proof of Theorem 9.11 on p. 423. This is a very important fact,
what this theorem says.
Homework 4 p. 464: 2,12, p. 481: 4,8,10, p. 489: 2,8,10,11,14.
Attention:
Problem 8 on p. 481 has a mistake in it. Ignore this problem.
Practice exam 1: .ps .pdf
Homework 5 (due Oct. 5) p. 503: 8, 10, p. 517: 17, p. 527: 10, 14, 16, 18, 22, 23, 24.
(All phase portraits have to be scketched by hand. You may use a computer
only to control your answers. Some problems assume that you can solve
simple differential equations of the form y'=F(x,y). If you forgot how to
do this (or were never taught this), read Chapter 1 of your textbook.
My lecture notes posted on
www.math.purdue.edu/~eremenko/366.html can be also helpful.)
Homework 6 (due Oct. 17) p. 122: 26, 30, p. 127: 8, p. 138: 24, 32, 48, p. 144: 16.
Homework 7 p. 667:2,8, p. 681:2,10,16, 26, 27, p. 689: 12, p. 694: 10, 12.
My hint to probl. 27: Write Fourier expansion of f twice, multiply the
series term-by-term, and integrate.
Homework 8 p. 724: 8, 12, 18, P. 733: 2,4, P. 768: 2,4,6
Homework 9: ps pdf
(Corrected version (11/6 7:30 a.m.) In the original version, i was missing
in the definition of Fourier matrix).
Homework 10: p. 792: 2,4,8,9 (use a calculator!),10, p. 798: 2,8, p. 821: 4,6.
Homework 9, hints and solutions: ps pdf
Attention: 1. HW 10 will be due on Tuesday, Nov. 21 (but of course you can hand it earlier if you choose to).
Homework 11 p. 811: 2,6,12,14,16,17.
Homework 12 p. 820: 2, p. 831: 2, 10, 12, 14, 20.