Differential Equations (MATH 2552, Fall 2019)
Instructor: Angela Pasquale
Office Hours & Location: Mon & Wed, 2-3 PM, or by
appointment. Office: IL 005
Teaching Assistant: Soufiane Karrakchou
Lectures: Mon & Wed, 12:35-1:55 pm, Yellow Room
Recitations: Tue 5-6 pm & Thu, 11:30-12:30, Yellow Room
Course Description:
Math 2552 is an introduction to differential equations, with a focus on
methods for solving some elementary differential equations and on
real-life applications.
Course Text:
Differential Equations: An Introduction to Modern
Methods & Applications, by
James R. Brannan and William E. Boyce (3rd edition), John Wiley and Sons,
Inc.
Course requirements:
Five quizzes (15-20 minutes), two midterms (50 minutes), and a
comprehensive final exam (2 hours 50 minutes).
Homework list: [pdf]
Syllabus: [pdf]
| Lecture Notes and Slides: |
-
Chapter 1: Introduction.
Sections 1.1, 1.2, 1.3
Lecture Aug 21
[pdf]
& additional slides
[pdf]
Lecture Aug 23
[pdf]
& additional slides
[pdf]
Lecture Aug 26: section 1.3
[pdf]
- Chapter 2: First order differential equations.
Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6
Lecture Aug 26 (continued): Intro & section 2.1
[pdf],
section 2.2 [pdf],
& additional slides
[pdf]
Lecture Aug 28: section 2.3
[pdf],
examples [pdf],
section 2.4
[pdf]
Lecture Sep 2: section 2.5
[pdf],
example [pdf],
section 2.6
[pdf]
Lecture Sep 4: section 2.7
[pdf],
example [pdf], overview of
the
ODE of Ch. 2 [pdf]
- Chapter 3: Systems of two first order differential equations: Sections 3.1, 3.2, 3.3, 3.4, 3.5, 3.6
and Chapter 6: Systems of First Order Linear Equations: Sections 6.1, 6.2, 6.3, 6.4
Lecture Sep 4 (continued):
section 3.1
[pdf],
example [pdf]
Lecture Sep 9:
section 3.2
[pdf]
Lecture Sep 11:
section 3.3 (1st part) [pdf],
section 6.1 [pdf],
example [pdf]
section 6.2 [pdf],
Lecture Sep 16:
example (from 6.2) [pdf],
section 3.3 (2nd part) [pdf],
examples [pdf]
Lecture Sep 18:
section 3.3 (end) [pdf],
section 3.4 (1st part) [pdf]
Lecture Sep 23:
section 3.4 (end) [pdf],
section 3.5 [pdf],
section 6.3 [pdf],
section 6.4 [pdf]
Lecture Sep 25:
section 3.6 [pdf]
- Chapter 4: Second order linear equations: Sections 4.1, 4.2,
4.3, 4.5, 4.7, 4.4, 4.6
Lecture Sep 30:
section 4.1 [pdf], example
[pdf],
section 4.2 [pdf],
examples [pdf]
Lecture Oct 2:
section 4.3 [pdf],
section 4.5 (1st part)
[pdf],
examples [pdf]
Lecture Oct 7:
section 4.5 (end) [pdf],
examples [pdf],
section 4.7 [pdf],
examples [pdf]
Lecture Oct 8:
section 4.4 [pdf]
Lecture Oct 9:
section 4.6 [pdf]
- Chapter 5: The Laplace Transform: Sections 5.1, 5.2,
5.3, 5.4, 5.5, 5.6, 5.7, 5.8
Lecture Oct 14:
section 5.1 [pdf]
Lecture Oct 16:
section 5.2 [pdf]
Lecture Nov 4:
section 5.3 [pdf],
examples [pdf]
Lecture Nov 6:
section 5.4 [pdf],
examples [pdf]
Lecture Nov 12:
section 5.5 [pdf]
Lecture Nov 13:
section 5.6 [pdf], example
[pdf],
section 5.7 [pdf]
Lecture Nov 15: section 5.8
[pdf]
- Chapter 7: Nonlinear differential equations and stability:
Sections 7.1, 7.2, 7.3, 7.4
Lecture Nov 18: section 7.1 [pdf]
Lecture Nov 20: section 7.2 [pdf],
section 7.3 [pdf]
Lecture Nov 25:
section 7.4 [pdf]
- Chapter 8: Numerical Methods: Sections 8.1, 8.2, 8.3
Lecture Nov 25: section 8.1
[pdf]
Lecture Nov 27: section 8.2 [pdf],
section 8.3 [pdf]
- Midterm 1: Review sheet [pdf], Practice [pdf], solutions (by S. Mehdi) [pdf]
- Midterm 2: Review sheet [pdf],
Practice [pdf] (without Questions
3a and 3b, which we have not covered yet), solutions (by S.
Mehdi) [pdf],
Mideterm 2 [pdf],
solutions [pdf]
- Final Exam Review [pdf]
- Final Exam, Spring 2019 (solutions by S. Mehdi)
[pdf],
Review Problems [pdf],
solutions [pdf]
- Week 1: Aug 21-23
- Sec 1.1: 1, 2, 4, 5, 15, (17)
- Sec 1.2: 1-13, Solutions to even-number problems: [pdf]
- Sec 1.3: 1-6, 13-17, 23-24, 25-26, 27-28, 33
- Week 2: Aug 26-30
- Sec 2.1: 1-8, 13-20, 30-34
- Sec 2.2: 1-6, 17-20, 22, 31
- Sec 2.3: 1-5, 10-13, 16, 19
- Sec 2.4: 1-6, 7-11, (13), 15-16, 25
- Sec 2.5: 1, 2, (6,7,9),10, 11, 12
- Week 3: Sep 2-6
- Sec 2.6: 1-12 (a) and (b) only, 15, 16, (19-21 (a) and (b))
- Sec 2.7: (1-6), 13-17, 24-36
- Sec 3.1: 1-5, 13-18, 27-30, 33-36
- Sec 3.2: 1-8, 9(a)-10(a), 15-17 (a) only, 21-26, 30(a)-(c), 31
- Sec 6.1: 1-3, 4-9
- Week 4: Sep 9-13
- Sec 3.3: 1-3, 13-20, 33-36
- Sec 6.2: 1-6, 8-9, 11-14
- Sec 6.3: 1-8
- Week 5: Sep 16-20
- Sec 3.4: 1-10, 13-18
- Sec 6.4: 1-8
- Sec 3.5: 1-12, (15)
- Week 6: Sep 23-27
- Sec 3.6: 7-12 (a) and (b) only
- Sec 4.1: 1-7, 8-16
- Sec 4.2: 1-7, 15, 18, 21, 22-25, 26, 28-33
- Sec 4.3: 1-10, 27-37, 44,45, 47, 48, 51
- Week 7: Sep 30-Oct 4
- Sec 4.3: 52, 54-58, 62-65
- Sec 4.5: 1-10, 17-20, 23a-30a, 31, 32-34
- Sec 4.7: 2-5
- Week 8: Oct 7-11
- Sec 4.7: 2-5, 10-12, 14-16, 22-24, (39, 40)
- Sec 4.4: 1-4
- Week 9: Oct 14-18
- Sec 4.3 (Cauchy-Euler), 4.5, 4.7
- Sec 4.4: 1-4, 5a, 6a, 7, 10, 15-17, 24, 25, 29, 30, 5: 1-10, 17-20, 23a-30a, 31, 32-34
- Sec 4.6: 1-4, 5, 6, 9, 10, 11, 16-18, 20-22
- Sec 5.1: 1-4, 5-12, 14-17, 22-26, 28, 31-34
- Sec 5.2: 1-10, 11, 12-18
- Week 10: Oct 21-25
- Sec 5.3: 9-20
- Sec 5.4: 4-8, 11-13, 16-19, 20-21
- Week 11: Oct 28-Nov 1
- Fall Break
- Week 12: Nov 4-8
- Sec 5.5: 1-4, 8-11, 13-15, 22-24
- Sec 5.6: 1-7, (19, 20)
- Week 13: Nov 11-15
- Sec 5.7: 1-8 (finding solution only), 15
- Sec 5.8: 3-6, 7-12
- Sec 7.1: 1-12 (a and c only)
- Week 14: Nov 18-22
- Sec 7.2: 1-12 (a,b,c only), 21, 22, 25
- Sec 7.3: 1-6
- Sec 7.4: 1-5
- Week 15: Nov 25-29
- Sec 8.1: (just need to know how to get y1, y2...) 1-4, 11-14
- Sec 8.2: 17, 18
- Sec 8.3: 1-2 (just need to know how to get y1, y2...)
- Week 16: Dec 2-3
- Review for final exam