Dr. Arno Berger (CAB 683,
berger@ualberta.ca)
A PDF document containing all you want to know about this semester's version of MATH 201 is available here.
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 with Boundary Value Problems,
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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Labs start 14 Jan (i.e., NEXT week!).
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1
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Mon 7 Jan
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Introduction - What is a Differential Equation (DE)?
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[BDP] Ch. 1.
Please review the material from first-year calculus, as needed.
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2
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Wed 9 Jan
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Initial value problems (IVP) and Boundary value problems (BVP).
First order ODE.
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[BDP] Sec. 2.2. |
3
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Fri 11 Jan
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Separable equations.
Separable equations in disguise.
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[BDP] Sec. 2.2. |
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Notes Week #1. |
4
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Mon 14 Jan
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Linear first-order equations.
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[BDP] Sec. 2.1. |
5
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Wed 16 Jan
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Exact equations. Integrating factors.
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[BDP] Sec. 2.6. |
6
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Fri 18 Jan
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Linear second order equations. Wronski
determinant. Fundamental sets of solutions.
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[BDP] Ch. 3. |
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Notes Week #2. |
7
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Mon 21 Jan
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Homogeneous linear equations with constant coefficients.
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[BDP] Sec. 3.1/3. |
8
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Wed 23 Jan
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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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Fri 25 Jan
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Examples.
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[BDP] Sec. 3.5.
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Notes Week #3. |
10
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Mon 28 Jan
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Further examples.
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[BDP] Sec. 3.5. |
11
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Wed 30 Jan
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Free vibrations.
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[BDP] Sec. 3.7. |
12
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Fri 1 Feb
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Forced vibrations. Resonance.
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[BDP] Sec. 3.8. |
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Notes Week #4. |
13
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Mon 4 Feb
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Examples.
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[BDP] Sec. 3.8. |
14
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Wed 6 Feb
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A brief review of power series.
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[BDP] Sec. 5.1. |
15
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Fri 8 Feb
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Analytic functions. Solving linear ODE with power series.
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[BDP] Sec. 5.1-3. |
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Notes Week #5. |
16
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Mon 11 Feb
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Ordinary and singular points.
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[BDP] Sec. 5.3. |
17
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Wed 13 Feb
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Examples. Euler equations.
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[BDP] Sec. 5.4. |
18
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Fri 15 Feb
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Laplace Transform. Definition and basic properties.
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[BDP] Sec. 6.1. |
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Notes Week #6. |
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Have a great Reading
Week.
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19
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Mon 25 Feb
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A brief reminder of partial fractions.
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20
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Wed 27 Feb
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Inverse Laplace transform.
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[BDP] Sec. 6.1. |
21
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Fri 1 Mar
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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 #7. |
22
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Mon 4 Mar
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Discontinuous and delayed signals.
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[BDP] Sec. 6.3/4. |
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Tue 5 Mar
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MATH 201 review session with Dr. Allegretto:
5pm - 6:30pm in ETLC E1-001.
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23
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Wed 6 Mar
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Periodic signals.
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[BDP] Sec. 6.3/4. |
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Thu 7 Mar
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MATH 201 review session with Dr. Allegretto:
5pm - 6:30pm in ETLC E1-001.
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24
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Fri 8 Mar
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Periodic signals. Convolution.
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[BDP] Sec. 6.6. |
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Notes Week #8. |
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Sat 9 Mar
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Midterm test !
Please see box on the left for details.
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Good luck !! |
25
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Mon 11 Mar
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Applications of convolution.
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[BDP] Sec. 6.6. |
26
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Wed 13 Mar
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Impulses. Dirac delta function.
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[BDP] Sec. 6.5. |
27
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Fri 15 Mar
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Systems of linear differential equations.
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[BDP] Ch. 7. |
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Notes Week #9. |
28
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Mon 18 Mar
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Partial Differential Equations (PDE). Introductory remarks.
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[BDP] Ch. 10. |
29
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Wed 20 Mar
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Boundary value problems for ODE (eigenvalue problems).
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[BDP] Sec. 11.1.
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30
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Fri 22 Mar
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Examples of eigenvalue problems.
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[BDP] Sec. 11.1. |
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Notes Week #10. |
31
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Mon 25 Mar
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An introduction to Fourier series.
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[BDP] Sec. 10.2. |
32
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Wed 27 Mar
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More on Fourier series. Examples.
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[BDP] Sec. 10.3. |
33
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Fri 29 Mar
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Fourier cosine and sine series. Examples.
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[BDP] Sec. 10.4. |
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Notes Week #11. |
34
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Mon 1 Apr
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The separation of variables method for the heat equation.
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[BDP] Sec. 10.5. |
35
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Wed 3 Apr
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Examples. Variations of the method.
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[BDP] Sec. 10.6. |
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Please consider
completing the online MATH 201 course survey. It only takes a
few minutes. Thank you. |
36
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Fri 5 Apr
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Examples. The wave equation.
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[BDP] Sec. 10.6/10.7. |
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Notes Week #12. |
37
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Mon 8 Apr
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The separation of variables method for the wave equation.
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[BDP] Sec. 10.7. |
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Final Exam Review session with Dr. Allegretto
5pm - ??pm in Tory Lec 11.
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Tue 9 Apr
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Special MATH 201 study session 4:30pm - 7:30pm in CAB 528.
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38
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Wed 10 Apr
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D'Alembert's form of the solution.
Final exam information.
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[BDP] Sec. 10.7. |
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Final Exam Review session with Dr. Allegretto
5pm - ??pm in Tory Lec 11.
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Notes Week #13. |
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Good bye and good luck !! |
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Fri 11 Apr
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Special MATH 201 office hours:
10am - 12pm in CAB 683.
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Final exam !
Please see box on the left for details.
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Good luck !! |
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