Table of topics and assignments
Textbook: Introduction to Ordinary Differential Equations, by Shepley L. Ross, 4th edition. Student solution manual is recommended but is optional.Tutoring services (including online) and other useful info: see this link .
Learning Assistants (LA): Fabio Isaza email: fisaz002@fiu.edu
LA help hours outside class: Thursdays 1-3pm, outside DM 409 A
| Day# | Date | Topics Covered | Suggested assignment | Comments |
| 0 | before 06/18 | 1. Get the textbook 2. Read these notes of Prof. Hudson and review accordingly. |
Quiz 0 on background on first day of class! | |
| 1 | 06/18 |
1.1 Defs 1.2 Defs 2.2(part A) Separable DE's 3.3 Rate applications Quiz 0 ~ 20 mins |
1.1 all odds 1.2 all odds 2.2 #1-7odd, 15, 16 3.3 # 1, 5, 7, 29, 30 Solution key for Quiz 0 |
Part B of section 2.2 (homegenous DE's) will be covered later. From 3.3, cover only parts A and B of the section (no mixture problems). New: For pb. 29 in section 3.3 you need some extra information to determine the constant of proportionality (for parts b and c). Thus, add the following assumption to the problem: "After 1 week, 1000 people adopted the product." |
| 2 | 06/20 | Logistic DE (from 3.3) Partial derivatives 2.1 Exact DEs |
class exercises on partial derivatives 2.1 # 1, 5, 7, 11, 17, 21, 22 |
Finding the general solution of the logistic DE
is a possible exam topic. See these notes (slightly different and a bit more complete than the class presentation). |
| 3 | 06/22 | 2.2(part B)Homog. DEs 2.3 Linear DEs Worksheet 06/22 |
2.2 # 8,10,11,18 2.3. #1-4, 19, 20 Solution key for worksheet 06/22 |
Proof of Theorem 2.3 from section 2.2 is a
potential exam topic. Finding the form of the integrating factor for a linear DE is a possible exam topic (proving formula (2.30), page 49 in the text). No quiz on Monday 06/25, there will be a worksheet instead. |
| 4 | 06/25 | 2.3. Bernoulli DEs 1.3 Fundam. Theorem of 1st order ODE's Worksheet 06/25 |
2.3. #15, 18, 25, 26 1.3 # 1.3, 6, 7, 8 Solution key for worksheet 06/25 |
Proof of Theorem 2.5 in section 2.3 is a
potential exam topic. Exam 1 on June 29 covers all material we did up to and including Monday 06/25 (sections 1.1, 1.2, 1.3, 2.1, 2.2, 2.3 and 3.3). One of the theoretical topics announced in the comments column will appear on the exam. |
| 5 | 06/27 | Review for
Exam 1 |
page 59, review for Chapter2: # 1, 2, 4, 8, 12, 17, 20, 21 |
|
| 6 | 06/29 | 4.1 LDEs - basic thms "AB" Exam 1 ~ 90 mins |
4.1 #
1, 2, 3, 4, 5, 6, 13, page 122
Solution key for Exam 1 (for Pb. 5, add that the DE is logistic, but answers as separable, or Bernoulli are also acceptable) |
|
| 7 | 07/02 | 4.1 LDEs - basic thms "CD" Worksheet 07/02 |
4.1 # 1, 5, 10, page 132 Solution key for worksheet 07/02 |
Homework Due Friday, June 6: Pb. 2, page 186 and Pb. 29, page 187 textbook. |
| 07/04 | Happy 4th! | |||
| 8 | 07/06 | 4.2 Homog with cc 4.3 Undet'd coeffs |
4.2 #
1,2,9,11,13,27,37,58,59 (last two added later) 4.3 # 3,4,7,12,15,35,51 |
|
| 9 | 07/09 | 4.4 Vary params 4.5 C-E DEs Worksheet 07/09 |
4.4 #
1, 3, 5, 6, 9,19 4.5 # 1, 3, 5, 25 The worksheet 07/09 becomes a homework due Friday 07/13. OK to collaborate, but each should turn in their own version. Solution key for worksheet 07/09 |
Exam 2 on Monday, July 16 (note new
date) covers Chapters 4 (sections 4.1 - 4.5) and sections 5.2, 5.3. Possible theoretical topics (one of these will appear on your exam): Reduction of order -- Theorem 4.7, p. 126 (conclusion 1 only) -- proof is getting to formula (4.14) on p. 125; Superposition principle -- Theorem 4.10, p. 131 (ok just for the case n=2 and k_1= k_2 = 1); The VP method -- getting the formulas for c_1'(x) and c_2'(x) as done in class (this is also in the textbook on p. 163-164, but be aware of the slight differences in notations there); The Cauchy-Euler Theorem -- Theorem 4.14, p. 172 textbook, ok just case n=2. |
| 10 | 07/11 | 5.2 Springs 5.3 Springs |
5.2 # 1, 2, 3 5.3 # 1, 5 |
Note: The suggested pbs in 5.2 and 5.3 were slightly modified on July 13 to have a couple of examples with international units. |
| 11 | 07/13 | 9.1 Laplace transf. Review for Exam 2 |
9.1 p.488 #1, 3, 5 (do
after exam 2) 9.1 p. 496 # 1, 3, 5, 7, 13, 15 (do after exam 2) |
|
| 12 | 07/16 | rest of 9.1 Exam 2 |
Solution key for exam 2 Solution for pb.5 with the given units |
|
| 13 | 07/18 | 9.2 Inverse Laplace,
convolution 9.3 Const. coefs' with Laplace |
9.2 p. 504 # 1, 3, 5, 7,
11, 15, 29 9.2 p. 509 # 1, 2, 3 9.3 #1, 2, 5, 7, 9, 10 |
|
| 14 | 07/20 | 9.5 Systems with Laplace 6.1 Series solutions |
9.5 # 1, 2, 3, 10 6.1 # 1, 2, 7, 15, 21 Homework due Monday 07/23 (counts as two worksheets) (do each pb on a separate sheet of paper and staple your work) Solution key for the homework above. |
Final Exam (on July 27, entire class
time) is comprehensive. For sure there will be questions from the
sections covered after exam 2 (Chap. 9 and 6). For the earlier material
review the midterms and the worksheets. Possible theoretical topic --
proving one of the properties of the Laplace transform. This the grade book at this point (last column is the overall percentage). As I grade more worksheets/homework the score on column H will change a bit. |
| 15 | 07/23 | 9.4 DEs with discont
non-homogeneous terms Worksheet 07/23 |
9.4 A # 1, 3, 7, 11 (p.
527) 9.4 B # 1, 3, 5, 9 (p. 531) 9.4 C # 1, 3, 5 (p. 533) Solution key for worksheet 07/23 |
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| 16 | 07/25 | 6.3 Bessel (brief intro) Review for final exam |
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| 17 | 07/27 | Final Exam (entire class time) |
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