MATH 201 - Differential Equations (Section EB1, Fall 2019)
Time and Location
Time: MWF 12:00 - 12:50 pm Room: NRE 2-001
Instructor
Dr. Arno Berger (CAB 683,
berger@ualberta.ca)
Office hours
MWF 2:00 pm - 4:00 pm, or by appointment
Syllabus
Please see this PDF document for all relevant
details concerning MATH 201.
Material covered in class (Course Diary)
I plan to keep an up-to-date list of the topics, examples etc. covered in class.
Unless stated otherwise, reference numbers refer to our textbook,
R.K. Nagle, E.B. Saff, and A.D. Snider, Fundamentals of Differential
Equations,
henceforth abbreviated as [NSS].
Lecture #
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Date
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Material covered / special events
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Remarks/ additional material
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WELCOME TO MATH 201 !!
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Labs start NEXT week!
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1
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Wed 4 Sep
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Introduction - What is a Differential Equation (DE)?
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[NSS] Ch. 1.
Please review the material from first-year calculus, as needed.
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2
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Fri 6 Sep
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Initial value problems (IVP) and Boundary value problems (BVP).
First order ODE.
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[NSS] Sec. 2.2. |
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Notes Week #1. |
3
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Mon 9 Sep
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Separable equations.
Separable equations in disguise.
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[NSS] Sec. 2.2, 2.6. |
4
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Wed 11 Sep
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Linear first-order equations.
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[NSS] Sec. 2.3. |
5
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Fri 13 Sep
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Exact equations.
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[NSS] Sec. 2.4. |
|
|
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Notes Week #2. |
6
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Mon 16 Sep
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Linear second order equations. Wronski
determinant. Fundamental sets of solutions.
|
[NSS] Sec. 4.2, 4.7. |
7
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Wed 18 Sep
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Homogeneous linear equations with constant coefficients.
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[NSS] Sec. 4.2, 4.3 |
8
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Fri 20 Sep
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Inhomogeneous linear equations with constant coefficients:
Undetermined coefficients.
|
[NSS] Sec. 4.4 - 4.6. |
|
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Notes Week #3. |
9
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Mon 23 Sep
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Examples.
|
[NSS] Sec. 4.5.
|
10
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Wed 25 Sep
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Variation of parameters.
|
[NSS] Sec. 4.6. |
11
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Fri 27 Sep
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Further examples.
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[NSS] Sec. 4.6, 4.7.
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Notes Week #4. |
12
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Mon 30 Sep
|
Free and forced vibrations.
|
[NSS] Sec. 4.9/4.10. |
13
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Wed 2 Oct
|
Resonance. Examples.
|
[NSS] Sec. 4.10. |
14
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Fri 4 Oct
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Euler equations.
|
[NSS] Sec. 4.7. |
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Notes Week #5. |
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Sat 5 Oct
|
First midterm test !
Please see box on the left for details.
|
Good luck !! |
15
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Mon 7 Oct
|
Laplace Transform. Definition and basic properties.
|
[NSS] Sec. 7.2/7.3. |
16
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Wed 9 Oct
|
A brief reminder of partial fractions.
|
|
17
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Fri 11 Oct
|
Inverse Laplace transform.
|
[NSS] Sec. 7.4/7.5. |
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|
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Notes Week #6. |
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Mon 14 Oct
|
No class.
|
Happy Thanksgiving! |
18
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Wed 16 Oct
|
Solving IVPs using Laplace transform.
|
[NSS] Sec. 7.5. |
19
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Fri 18 Oct
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Unit step functions. Delayed signals.
|
[NSS] Sec. 7.6. |
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Notes Week #7. |
20
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Mon 21 Oct
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Convolution.
|
[NSS] Sec. 7.8. |
21
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Wed 23 Oct
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Applications of convolution. Impulses.
|
[NSS] Sec. 7.8/7.9. |
22
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Fri 25 Oct
|
Dirac delta function.
|
[NSS] Sec. 7.9. |
|
|
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Notes Week #8. |
23
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Mon 28 Oct
|
Systems of linear ODE.
|
[NSS] Sec. 7.10. |
24
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Wed 30 Oct
|
A brief review of power series.
|
[NSS] Sec. 8.2. |
|
Thu 31 Oct
|
|
MATH 201 midterm review session:
at 5pm - 6:30pm in CCIS 1-440.
|
25
|
Fri 1 Nov
|
Analytic functions. Solving linear ODE with power series.
|
[NSS] Sec. 8.2 - 8.4. |
|
|
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Notes Week #9. |
|
Sat 2 Nov
|
Second midterm test !
Please see box on the left for details.
|
Good luck !! |
26
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Mon 4 Nov
|
Examples of power series solutions of linear ODE.
|
[NSS] Sec. 8.4. |
27
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Wed 6 Nov
|
Partial Differential Equations (PDE). Introductory remarks.
|
[NSS] Ch. 10. |
28
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Fri 8 Nov
|
Boundary value problems for ODE (eigenvalue problems).
|
[NSS] Sec. 10.2.
|
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Notes Week #10. |
|
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Have a great Reading
Week.
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29
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Mon 18 Nov
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Examples of eigenvalue problems.
|
[NSS] Sec. 10.2. |
30
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Wed 20 Nov
|
An introduction to Fourier series.
|
[NSS] Sec. 10.3. |
31
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Fri 22 Nov
|
More on Fourier series. Examples.
|
[NSS] Sec. 10.3/10.4. |
|
|
|
Notes Week #11. |
32
|
Mon 25 Nov
|
The separation of variables method for the heat equation.
|
[NSS] Sec. 10.5. |
33
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Wed 27 Nov
|
Examples. Variations of the method.
|
[NSS] Sec. 10.5. |
|
|
|
Please consider
completing the online MATH 201 course survey. It only takes a
few minutes. Thank you. |
34
|
Fri 29 Nov
|
Further examples.
|
[NSS] Sec. 10.5. |
|
|
|
Notes Week #12. |
35
|
Mon 2 Dec
|
The wave equation. The separation of variables method for the wave equation.
|
[NSS] Sec. 10.6. |
36
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Wed 4 Dec
|
D'Alembert's form of the solution.
|
[NSS] Sec. 10.6. |
37
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Fri 6 Dec
|
Examples.
Final housekeeping and exam information.
|
[NSS] Sec. 10.6.
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Notes Week #13. |
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Good bye and good luck !! |
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Thu 12 Dec
|
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MATH 201 review session:
6pm - 7:30pm in CCIS L2-200.
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Fri 13 Dec
|
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MATH 201 open house:
10am - 3pm in CAB 683.
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Sat 14 Dec
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Final exam !
Please see box on the left for details.
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Good luck !! |
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