Ordinary Differential Equations
Math 520 -- Fall 2011

Professor Doug Meade
meade@math.sc.edu
Department of Mathematics
University of South Carolina

Homework Assignments

Date Assigned
 Date Due
 Section
 Page
 Problems
 Comments
18 Aug 25 Aug §1.1 7 # 3, 4, 11, 14, 15-20
  • For Problems 3, 4, 11, and 14, do not draw the direction field; instead, draw a direction line (as illustrated in class).
  • Maple worksheet for direction fields
  • HW 1 Solutions
23 Aug 1 Sep §1.2 16 # 1, 4, 7
  • Read each question carefully. Be sure you answer the question(s) asked.
  • See the Direction Field Plotter to help with comparing solutions in 1.
  • Many of these questions introduce ideas that we will explore in much greater detail later in the course. Do not worry about trying to do more than you are asked to do - yet.
23 Aug 1 Sep §1.3 24 # 1-6, 8, 11, 14, 17, 18, 25
25 Aug 1 Sep §2.2 47 # 2, 7, 10ac, 13ac, 24, 31ab
  • In #24, use the second derivative test to verify that the critical point is, in fact, a local maximum.
  • The calculations in #31 should be simpler than the ones we did in class!
  • HW 2 Solutions
30 Aug 8 Sep §2.1 39 # 3, 8, 16, 31
  • Remember that the standard form for a first-order linear DE is y' + p(t) y = g(t).
30 Aug 8 Sep §2.4 75 # 4, 5, 22, 23
6 Sep 15 Sep §2.6 99 # 4, 5, 6, 20, 25
  • Remember that the standard form is M(x,y)+N(x,y)y'=0 or M dx + N dy = 0.
  • HW 4 Solutions
13 Sep 22 Sep §2.7 109 # 1abd
  • Feel free to use Excel, your calculator, or other software to help with the number crunching. If you do, please be sure to present your results in a neat and orderly fashion and include what you used to obtain your results.
15 Sep 22 Sep §2.8 118 # 9
20 Sep 20 Sep Exam 1 through § 2.6
22 Sep 29 Sep §3.1 144 # 4, 5, 15, 20
22 Sep 29 Sep §3.2 155 # 4, 11, 14, 17, 25
29 Sep 10 Oct §3.3 163 # 4, 11, 17, 23, 31
29 Sep 10 Oct §3.4 171 # 6, 11, 16, 23
29 Sep 13 Oct §3.5 183 # 1, 15, 16, 17, 22a, 23a
29 Sep 13 Oct §3.6 189 # 3, 14
18 Oct 18 Oct Exam 2 through § 3.6 (tentative)
11 Oct 27 Oct §4.1 224 # 6, 15
11 Oct 27 Oct §4.2 231 # 14, 17, 20, 31
13 Oct 27 Oct §4.3 237 # 7, 10, 16
13 Oct 27 Oct §4.4 242 # 1, 13
27 Oct 3 Nov §5.1 249 # 3, 4, 7, 20, 28
  • Note: Remember that you must determine the convergence or divergence of a power series at the endpoints of the interval of convergence.
  • These problems involve some of the methods and operations that we will be using throughout Chapter 5. Be sure you can do these problems.
  • HW 10 Solutions
1 Nov 15 Nov §5.2 259 # 5, 8
3 Nov 15 Nov §5.3 265 # 4, 8
8 Nov 15 Nov §5.4 276 # 1, 3, 4, 6
10 Nov 17 Nov §7.1 359 # 4, 5
10 Nov 17 Nov §7.2 371 # 2, 8, 12, 21
22 Nov 22 Nov Exam 3   Chapter 5 (5.1 -- 5.4) and Chapter 7 (7.1 -- 7.2)
29 Nov Never! §7.5 398 # 4, 17
29 Nov Never! §7.6 409 # 3, 6
29 Nov Never! §7.8 428 # 2, 9
15 Nov 6 Dec Extra Credit   Extra Problems
  • Be sure you have the updated two-page version of this document, with 48 problems for you to solve.
  • Note that your solutions to these exercises must be neat, and are to be isolved without the aid of any electronic device.

Notes:

  • Maple worksheets (.mw files) should be downloaded to your local computer (I recommend creating a folder called, say, MapleFiles.)
  • Portable Document Format (PDF) files are viewable with acroread, a publicly available PDF viewer by Adobe.
  • PostScript (PS) files are viewable with ghostview, the public domain PS viewer.

    • If you have any questions, please send e-mail to meade@math.sc.edu
    Last modified: 04 October 2011