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 Assistant (LA): Christian Rodriguez crodr477@fiu.edu Help Hours: MoTuWeTh 9am-10am
| Day# | Date | Topics covered | Suggested assignment | Comments |
| 0 | before 06/17 |
1. Get the textbook 2. Read these notes of Prof. Hudson and review accordingly. |
Quiz 0 on background on first day of class! | |
| 1 | 06/17 | 1.1 Defs 1.2 Defs 2.2.A Separable DE's 3.3 Rate applications Quiz 0 |
1.1 all odds 1.2 all odds 2.2A # 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 | 06/18 | Logistic DE (from 3.3) Partial derivatives 1.3 Fundam. Thm of 1st order ODE's |
Exercises on partial derivatives 1.3 # 1, 3, 6, 7, 8* |
Finding the general solution of the logistic DE
is a possible exam 1 topic. |
| 3 | 06/19 |
More on 1.3 2.2.B. Homog. DEs |
(see above) 2.2B # 8, 10, 11, 18 |
Proof of Theorem 2.3 from section 2.2 is a potential exam 1 topic. |
| 4 | 06/20 | 2.1 Exact DEs Worksheet 06/20 |
2.1 # 1, 5, 7, 11, 17, 21, 22 |
|
| 5 | 06/24 | 2.3 Linear DEs 2.3 Bernoulli DEs |
2.3. #1-4, 19, 20 2.3. #15, 18, 25, 26 |
Finding the form of the integrating factor for a linear DE is a possible
exam 1 topic (proving formula (2.30), page 49 in the text). Proof of Theorem 2.5 in section 2.3 is a potential exam 1 topic (the sub that changes a Bernoulli DE into a linear DE). |
| 6 | 06/25 | 2.4 A Special Int. factors 2.4 B Special Transf. |
2.4 A #1, 2, 3, 15* 2.4 B # 7, 8, 9 |
Proof of Theorem 2.6 from section 2.4 is a
potential exam 1 topic (added later). Quiz 1 on Wednesday, June 26, from sections 2.1, 2.2, 2.3. For this quiz, I'll just give you a bunch of 1st order ODE's and ask you to recognize their types, without asking you to solve any of them. |
| 7 | 06/26 | 3.2(A&B) Motion Pbs Review for Exam 1 Quiz 1 Worksheet 06/26 |
3.2 B #2, 3, 5, 9, 10, 18* page 59, review for Chapter2: # 1-8all, 12, 17, 20, 21; page 108, review for Chapter 3: # 3, 6, 7, 8. |
From 3.2, cover only parts A and B of the
section (no slide problems). Exam 1 on Monday, July 1 (note the changed date) covers all material we did from Chapters 1, 2 and 3. One of the theoretical topics announced in the comments column will appear on the exam. Office hours on Friday, June 28, 2-4pm. |
| 8 | 06/27 | 4.1 LDEs - basic thms "AB" |
4.1 #
1, 2, 3, 4, 5, 6, 13, page 122 (do after Exam 1) |
Here is the direct link to my MAP 2302 taught last summer.
Use those previous exams and other worksheets for your practice, but be aware that your exam this year will change compared to last year. Doing all the suggested problems is the ideal preparation for the exam. |
| 9 | 07/01 | Exam 1 | Solution key for exam 1 | |
| 10 | 07/02 | 4.1 LDEs - basic thms "CD" |
4.1 # 1, 5, 10, page 132 |
|
| 11 | 07/03 | 4.2 Homog with cc |
4.2 #
1,2,9,11,13,27,37,58,59 Homework due Monday, July 8 |
No class on Thursday, July 4. Happy 4th! For an example of reduction of order and some problems from section 4.2 here is a worksheet from last summer and its solution key . I will hold an extra class on Friday, July 5 (in Ryder 130, starting at 10am). I will not cover new material, but I will do more examples from 4.1 and 4.2 and answer questions. |
| 12 | 07/08 | 4.3 Undet'd coeffs |
4.3 #
3,4,7,12,15,35,51 |
|
| 13 | 07/09 | 4.4 Vary params 4.5 C-E DEs |
4.4 #
1, 3, 5, 6, 9,19 4.5 # 1, 3, 5, 25 |
|
| 14 | 07/10 | 5.2 Springs 5.3 Springs |
5.2 # 1, 2, 3, 6 5.3 # 1, 3, 6 |
Exam 2 on Monday, July 15 (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. |
| 15 | 07/11 | Rest of 5.3 Review for Exam 2 |
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| 16 | 07/15 | Exam 2 | Solution key for Exam 2 | |
| 17 | 07/16 | 9.1 Laplace transf. | 9.1 p.488 #1, 3, 5 9.1 p. 496 # 1, 3, 5, 7, 13, 15 |
|
| 18 | 07/17 | 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 |
|
| 19 | 07/18 | 9.4 DEs with discont non-homogeneous terms | 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) 9.4 D # 1, 3 (p. 539) |
Homework due Monday,
July 22 (worth as two worksheets) In this excel file you can find your overall percentage and current grade after exam 2. |
| 20 | 07/22 | 6.1 Series solutions | 6.1 # 1, 2, 7, 15, 21, 24 | Final Exam on July 25 starts at 9:30 am
(in the regular room). Final 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 topics -- proving one of the properties of the Laplace transform, including the formula for the Laplace transform of the Dirac function. |
| 21 | 07/23 | 9.5 Systems with Laplace | 9.5 # 1, 2, 3, 10 | Here is the final exam
given last year. Use it as a study tool, but be aware that the exam
this year will be different (maybe even in the types of problems chosen). This is the solution key. |
| 22 | 07/24 | 6.2 Regular singular pts and 6.3 Bessel (brief intro) Review for final exam |
I will ask you on the final to recognize regular or irregular singular points, but I will not ask Frobenius Thm. questions. | Review session with Christian, Wednesday, July 24, 12noon-2pm in CBC 142. |
| 23 | 07/25 | Final exam 9:30-11:35am |
Solution key for final exam | In this
excel file you can find your score on the final exam (out
of 100 pts). Grade for the course will be available to you through Panthersoft on Sunday morning, if you completed the SPOT evaluation, otherwise on Thursday. |
| Have a good rest of the summer and good luck with your studies! |
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