Dr. Arno Berger (CAB 683,
berger@ualberta.ca)
MWF 4:15 - 6:00 pm or by appointment.
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,
W. E. Boyce and R. C. DiPrima, Elementary Differential
Equations and Boundary Value Problems (10th ed.),
henceforth abbreviated as [BDP].
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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1
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Wed 2 Sep
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Introduction - What is a Differential Equation (DE)?
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Please review the material from first-year calculus, as needed.
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2
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Fri 4 Sep
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Initial value problems (IVP) and Boundary value problems (BVP).
First order ODE. Separable equations.
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[BDP] Sec. 2.2. |
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Notes Week #1. |
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Mon 7 Sep
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No class - Labour Day.
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3
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Wed 9 Sep
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Separable equations in disguise.
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[BDP] Sec. 2.2. |
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The MATH 201 homework has gone live, and
your first assignment of homework is waiting for you, see the box on
the left for details. |
4
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Fri 11 Sep
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Linear first-order equations.
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[BDP] Sec. 2.1. |
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Notes Week #2. |
5
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Mon 14 Sep
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Exact equations.
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[BDP] Sec. 2.6. |
6
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Wed 16 Sep
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Linear second order equations. Wronski
determinant. Fundamental sets of solutions.
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[BDP] Sec. 3.2. |
7
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Fri 18 Sep
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Homogeneous linear equations with constant coefficients.
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[BDP] Sec. 3.1/3.3/3.4. |
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Notes Week #3. |
8
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Mon 21 Sep
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Inhomogeneous linear equations with constant coefficients:
Undetermined coefficients.
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[BDP] Sec. 3.5. |
9
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Wed 23 Sep
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Variation of parameters.
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[BDP] Sec. 3.6.
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10
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Fri 25 Sep
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Further examples.
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[BDP] Sec. 3.5/3.6. |
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Notes Week #4. |
11
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Mon 28 Sep
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Free and forced vibrations.
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[BDP] Sec. 3.7/3.8. |
12
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Wed 30 Sep
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Examples.
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[BDP] Sec. 3.7/3.8. |
13
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Fri 2 Oct
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A brief review of power series.
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[BDP] Sec. 5.1. |
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Notes Week #5. |
14
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Mon 5 Oct
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Basic facts about power series. Analytic functions.
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[BDP] Sec. 5.1. |
15
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Wed 7 Oct
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Ordinary and singular points.
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[BDP] Sec. 5.2/5.3. |
16
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Fri 9 Oct
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Examples.
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[BDP] Sec. 5.2/5.3. |
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Notes Week #6. |
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Mon 12 Oct
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No class.
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Happy Thanksgiving ! |
17
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Wed 14 Oct
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Euler equations.
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[BDP] Sec. 5.4. |
18
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Fri 16 Oct
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Laplace Transform. Definition and basic properties.
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[BDP] Sec. 6.1. |
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Notes Week #7. |
19
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Mon 19 Oct
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A brief reminder of partial fractions.
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20
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Wed 21 Oct
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Inverse Laplace transform.
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[BDP] Sec. 6.2. |
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Thu 22 Oct
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Do not forget: Midterm review session,
5-7 pm in CCIS L2-190. |
21
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Fri 23 Oct
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Solving IVPs by means of Laplace transform.
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[BDP] Sec. 6.2. |
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Notes Week #8. |
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Sat 24 Oct
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Midterm test !
Please see box on the left for details.
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Good luck !! |
22
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Mon 26 Oct
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Discontinuous and delayed signals.
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[BDP] Sec. 6.3/6.4. |
23
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Wed 28 Oct
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Periodic signals.
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[BDP] Sec. 6.3/6.4.
Midterm test returned -
please see box on the left.
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24
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Fri 30 Oct
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Periodic signals. Convolution.
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[BDP] Sec. 6.4/6.6. |
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Notes Week #9. |
25
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Mon 2 Nov
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Applications of convolution.
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[BDP] Sec. 6.6. |
26
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Wed 4 Nov
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Impulses. Dirac delta function.
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[BDP] Sec. 6.5. |
27
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Fri 6 Nov
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Systems of linear differential equations.
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Notes Week #10. |
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Have a great Reading
Week. |
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28
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Mon 16 Nov
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Partial Differential Equations (PDEs). Introductory remarks.
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[BDP] Ch. 10. |
29
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Wed 18 Nov
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Boundary value problems for ODEs (eigenvalue problems).
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[BDP] Sec. 10.1.
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30
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Fri 20 Nov
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Examples of eigenvalue problems.
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[BDP] Sec. 10.1. |
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Notes Week #11. |
31
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Mon 23 Nov
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An introduction to Fourier series.
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[BDP] Sec. 10.2. |
32
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Wed 25 Nov
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More on Fourier series. Examples.
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[BDP] Sec. 10.3. |
33
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Fri 27 Nov
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Fourier cosine and sine series.
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[BDP] Sec. 10.4. |
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Notes Week #12. |
34
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Mon 30 Nov
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The separation of variables method.
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[BDP] Sec. 10.5. |
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Please consider
completing the online MATH 201 course survey. It only takes a
few minutes. Thank you. |
35
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Wed 2 Dec
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Examples. Variations of the method.
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[BDP] Sec. 10.6. |
36
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Fri 4 Dec
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Examples.
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[BDP] Sec. 10.6. |
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Notes Week #13. |
37
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Mon 7 Dec
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Example with heat sources.
Final exam information.
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[BDP] Sec. 10.6. |
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Notes Week #14. |
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Good bye and good luck !! |
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Wed 9 Dec
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Do not forget: Final review session,
4-6 pm in ETLC 1-003. |
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Fri 18 Dec
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Special MATH 201 office hours:
10am - 3pm in CAB 683. |
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Sat 19 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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