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Privacy Statement & Legal Notices
Office Hours: Wednesdays 1-3pm and by appointment
Course Description: We will study the theory and applications of ordinary differential equations (ODE): first-order ODE, linear ODE, obtaining solutions of ODE as series, the Laplace transform.
Text: Differential Equations and Boundary Value Problems, 4th Edition, Edwards and Penney
Content: We will cover sections 1.1-1.5, 2.1-2.3, much of chapters 3 and 7, parts of 4,5,6.
Exams: There will be three exams and a final.
Exam1. TUES Sept 16 Exam2. TUES Oct 14 Exam 3. THURS Nov 13
Final THURS Dec 11 (Set by registrar)
You will be responsible for the material covered in the lectures, the readings, and the homework.
* Dates of Exams are subject to change.
Homeworks: Homework will be assigned below. It will be due at the beginning of class on Thursdays. No late homework will be accepted. Your lowest homework grade will be dropped.
Final: Optional. Course grad calculation depends on if you elect to take the final.
Grades: Depends on whether or not the Final is taken.
Overall Score = Hwk 20% + Exam1 20% + Exam2 20% + Exam3 20% + Final 20%
Overall Score = Hwk 25% + Exam1 25% + Exam2 25% + Exam3 25%
Letter grades will approximately follow standard cutoffs A>90, B>80, C>70.
Academic Honesty: Each student will uphold the University of Miami Honor Code.
Math Lab Schedule (Free drop-in tutoring)
dfield and pplane - Java applets for direction fields and phase portraits
Example outputs as pdfs: y'=x^2-y^2 ; y'=x^2-y-2 ; y'=y-sin(x) ; x' = t * sin(x)
| Due Date | Readings | Problems |
|---|---|---|
| Aug 28 | 1.1 | 1.1: # 3, 9, 15, 19, 22, 47 (scans of problems - pdf) |
| Sept 4 | 1.2-1.4 | 1.2: # 9, 13, 19, 25; 1.3: # 3 (y'=y-sin(x), see also this), 9 (y'=x^2-y-2), 21, 27 1.4: # 1, 13, 23, 64; (scans of problems - pdf. These two might be difficult to read. 1.4.13: y^3 dy/dx=(y^4+1)cos x, 1.4.23: dy/dx + 1 = 2y, y(1)=1 ) |
| Sept 11 | 1.5, 1.6 | 1.5: # 11, 21, 32 1.6: # 11, 23, 35, 37, 49, 58, 66, 67 (I added 1.5.32, 1.6.37, and 1.6.58.) (scans of problems - pdf) |
| Sept 18 | Exam 2.1, 2.2 |
EXAM1 Tues Sept 16 No HWK due. |
| Sept 25 | 2.3, 2.4 |
2.1: # 7, 11, 23, 25; 2.2: # 5, 9, 13, 21, 23, 24; 2.3: # 1, 11, 15, 16; 2.4: # 3, 5 |
| Oct 2 | 3.1, 3.3 | 3.1: # 11, 16, 24, 25, 35, 39, 43; 3.3: # 10, 12, 15, 25, 28, 39 (Note: 3.3:31,40,42 are deferred to next time; they are replaced with 3.3:28,39) |
| Oct 9 | 3.3, 3.5 | 3.3: # 31, 40, 42 3.5: # 1, 4, 6, 10, 13, 18, 34, 37 |
| Oct 16 | Exam | Practice Exam - pdf Practice Exam Solutions- pdf That's most of them, not all. EXAM2 TUES Oct 14 |
Oct 28 |
3.4, 3.6, 3.7 | Due Tuesday October 28 3.4 # 4, 15, 17, 18 3.6 # 1, 7, 11, 19 3.7 # 1, 2, 17 |
| Oct 30 | 4.1, 4.2 (pp 250 - 253, 259-260) |
4.1 # 17 ; 4.2 # 2 (You may use pplane to sketch direction field and solution curves.) |
| Nov 6 | 5.2, 5.4, 6.1 (pp304 - 308, 311-313, 334 - 337, 371-374) |
5.2 # 4, 6, 8, 11 5.4 # 1, 5 6.1 # 1, 3, 5, 7 |
| Nov 13 | Exam |
REVIEW Tues Nov 11 |
| Nov 20 | 6.2, 6.3; (pp 384-390, 399-408) |
Due Dec 2 6.2 #21 (phase portrait near origin only), 33; 6.3 #27, 29, 31 |
| Nov 27 | THANKSGIVING RECESS | |
| Dec 4 | 7.1, 7.2 (pp 441-445, 452-456) |
Due Dec 9 7.1 #3, 7, 9, 13, 25, 29 7.2 #6, 11, 33 |
| Dec 9 | 7.3, 7.5, 7.6 (pp 465-471, 482-488, 494-498) |
Not Due 7.3 #3, 6, 8, 37; 7.5 #13, 26 (not on final); 7.6 #5 (not on final) Optional Final Final overview Table of Laplace Transforms (pdf) |