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 # Date Material covered / special events Remarks/ additional material
    WELCOME TO
MATH 201 !!

Labs start NEXT week!

1 Wed
4
Sep
Introduction - What is a Differential Equation (DE)? [NSS] Ch. 1.
Please review the material from first-year calculus, as needed.
2 Fri
6 Sep
Initial value problems (IVP) and Boundary value problems (BVP).
First order ODE.
[NSS] Sec. 2.2.
      Notes Week #1.
3 Mon
9 Sep
Separable equations.
Separable equations in disguise.
[NSS] Sec. 2.2, 2.6.
4 Wed
11 Sep
Linear first-order equations. [NSS] Sec. 2.3.
5 Fri
13 Sep
Exact equations. [NSS] Sec. 2.4.
      Notes Week #2.
6 Mon
16 Sep
Linear second order equations. Wronski determinant. Fundamental sets of solutions. [NSS] Sec. 4.2, 4.7.
7 Wed
18 Sep
Homogeneous linear equations with constant coefficients. [NSS] Sec. 4.2, 4.3
8 Fri
20 Sep
Inhomogeneous linear equations with constant coefficients: Undetermined coefficients. [NSS] Sec. 4.4 - 4.6.
      Notes Week #3.
9 Mon
23 Sep
Examples. [NSS] Sec. 4.5.
10 Wed
25 Sep
Variation of parameters. [NSS] Sec. 4.6.
11 Fri
27 Sep
Further examples. [NSS] Sec. 4.6, 4.7.
      Notes Week #4.
12 Mon
30 Sep
Free and forced vibrations. [NSS] Sec. 4.9/4.10.
13 Wed
2 Oct
Resonance. Examples. [NSS] Sec. 4.10.
14 Fri
4 Oct
Euler equations. [NSS] Sec. 4.7.
      Notes Week #5.
Sat
5 Oct
First midterm test !

Please see box on the left for details.
Good luck !!
15 Mon
7 Oct
Laplace Transform. Definition and basic properties. [NSS] Sec. 7.2/7.3.
16 Wed
9 Oct
A brief reminder of partial fractions.  
17 Fri
11 Oct
Inverse Laplace transform.
[NSS] Sec. 7.4/7.5.
      Notes Week #6.
Mon
14 Oct
No class. Happy Thanksgiving!
18 Wed
16 Oct
Solving IVPs using Laplace transform. [NSS] Sec. 7.5.
19 Fri
18 Oct
Unit step functions. Delayed signals. [NSS] Sec. 7.6.
      Notes Week #7.
       

Homework

Throughout the semester a total of five homework assignments will be posted on eClass.

Please submit your completed assignments into the MATH 201 assignment box on the third floor of CAB that has you lab instructor's name on it. The due date and time are indicated on each assignment problem sheet.

Three words about cheating:

    Don't Do It !!

Midterm tests

The first midterm test will be held on Saturday, October 5th, 2019 at 1:00 pm. You will write the midterm in
ETLC 1-003 (last names A-S) or ETLC 1-007 (last names T-Z).

Some details about the midterm:

  • Duration: 90 minutes.
  • Material covered: Up to, and including, free vibrations (details announced in class).
  • Some questions may be multiple choice.
  • NO calculators, formula sheets etc.!
  • NO cell-phones, i-pods, or other electronics!
  • Please bring a valid ID with you.
  • Sample MATH 201 midterms from previous years have been posted on eClass. Please look at them carefully.
  • Good luck!

First midterm test average: 69.5%

Solutions have been posted on eClass.

Final exam

Other material

Need help? The Decima Robinson Support Centre in CAB 528 offers free drop-in help sessions, Monday to Friday, 9:00 am to 3:00 pm. It's a great, friendly place, though quite busy at times.