MATH 300 - Advanced Boundary Value Problems I
(Fall 2021)


Time and Location

Time: MWF 1:00 - 1:50 pm
Room: ETLC E1-017


Instructor

Dr. Arno Berger (CAB 683, berger@ualberta.ca)


Office hours

MWF 3:00 pm - 5:00 pm or by appointment


Syllabus

NOTE: All information on this site also is available from the official course site on eClass.

Please see this PDF document for all relevant details concerning MATH 300.


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 the recommended (though not formally required) textbook, T. Hillen, I.E. Leonhard, H. van Roessel, Partial Differential Equations, henceforth abbreviated as [HLvR].

Lecture # Date Material covered / special events Remarks/ additional material
    WELCOME TO
MATH 300 !!

1 Wed
1
Sep
Introduction to Partial Differential Equations (PDE).
Linear and quasi-linear equations.
[HLvR] Ch. 1.
2 Fri
3
Sep
Classification of linear second-order PDE: elliptic, hyperbolic, parabolic. [HLvR] Sec. 1.2.
Mon
6
Sep
No class. Happy Labour Day!
3 Wed
8
Sep
Deriving the heat and wave equations.
Side conditions and steady-state solutions.
[HLvR] Sec. 1.3, 1.5, 1.9.
4 Fri
10
Sep
Side conditions and steady-state solutions. Examples. [HLvR] Sec. 1.3, 1.5.
5 Mon
13
Sep
Separation of variables - a (p)review.
Piecewise continuous and piecewise smooth functions.
[HLvR] Sec. 1.6, 2.1.
6 Wed
15
Sep
Orthogonal and orthonormal systems. Abstract Fourier series. [HLvR] Sec. 2.3.
7 Fri
17
Sep
Review of abstract Fourier series. Examples. [HLvR] Sec. 2.3.
(class on zoom)
       

Homework

Throughout the semester a total of five homework assignments will be posted on eClass and announced in class, as appropriate. Assignments are due on Wednesday, at 6 pm. Please submit your work to Assign2 via eClass.

Three words about cheating:

    Don't Do It !!

Midterm tests

The midterm tests will be held on Wednesday, 20 October 2021 and on Wednesday, 24 November 2021 at 1:00 pm (in class). Details regarding both tests will be announced in class and on eClass.

Final exam

The final exam is scheduled for Tuesday, 14 December 2021, at 2:00 pm. Details will be announced in class and on eClass.

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.