Announcements

  • Lectures: Mondays 11:00, Wednesdays 10:00, Fridays 8:00 in A404.
    Tutorials: Thursdays 14:00 in A407 or Narga A.

  • Follow this link for information on this module: content, outcomes, assessment model and important dates.

  • Here are your marks after the assessment of A2.
    If you do not write A3, this is the final mark that you will obtain for the module.

  • Here is a memo of A2.

  • TEST (A3): Thursday 26 October, 14:00
    Venue: General Engineering building, room A403A.
    The test will be 2.5 hours, on all the work covered over the entire semester. Have a look at the info page to see how this test fits into the module's assessment model. No formulas will be given, but you are allowed to bring one A4 sheet with your own notes and formulas into the test venue.


Schedule

WeekSections*Topics**
1 11.1, 11.2 orthogonal functions, Fourier series
2 11.3 cosine and sine series, Gibbs, additional properties of Fourier series
3 11.4, 12.1 Sturm-Liouville problems, separable PDEs
4 12.2, 12.3 classical boundary value problems, the heat equation
5 12.4, 12.5 the wave equation, Laplace's equation
6 12.6, 13.1 non-homogeneous BVPs, polar coordinates
7 14.3 Fourier integrals
vacation
8 14.4 the Fourier transform
9 14.4 the Fourier transform (continued)
10   the discrete Fourier transform, with Prof. Herbst
11   the discrete Fourier transform, with Prof. Herbst
12   the discrete Fourier transform, with Prof. Herbst
13   the discrete Fourier transform, with Prof. Herbst
*The sections refer to sections in the textbook.
**Topics covered in class are not necessarily limited to those listed here.

Lecturers

  Term 3: Dr Willie Brink
  Engineering Building A312
  wbrink 'at' sun.ac.za
  (021) 808-4218

  Term 4: Prof. Ben Herbst
  Engineering Building A311
  herbst 'at' sun.ac.za
  (021) 808-4217



Textbook

Zill & Wright

"Differential Equations with Boundary-Value Problems"
D.G. Zill & W.S. Wright


Lecture notes

Think Before Printing
lecture 1
17 Jul
lecture 2
19 Jul
lecture 3
21 Jul
lecture 4
24 Jul
lecture 5
26 Jul
lecture 6
28 Jul
lecture 7
31 Jul
lecture 8
2 Aug
lecture 9
4 Aug
lecture 10
7 Aug
lecture 11
11 Aug
lecture 12
14 Aug
lecture 13
16 Aug
lecture 141
18 Aug
lecture 15
21 Aug
lecture 16
23 Aug
lecture 172
25 Aug
lecture 18
28 Aug
lecture 193
30 Aug
lecture 20
11 Sep
lecture 21
13 Sep
lecture 22
18 Sep
lecture 23
20 Sep
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
NOTES pt2
B. Herbst
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Code: 1laplaceSurf.m, 2laplaceDisk.m, 3partialIntegral.m


Tutorials and assignments

Tutorial 1
20 Jul
solutions
Tutorial 2
3 Aug
solutions
Tutorial 3
17 Aug
solutions
Tutorial 4
21 Sep
solutions
Tutorial 5
28 Sep
Code
Solution
Tutorial 6
5 Oct
Code
Solution
Assignment 1
27 Jul
solutions
Assignment 2
10 Aug
solutions
Assignment 3
24 Aug
solutions
Assignment 4
14 Sep
solutions
Code: plotFourier.m, plotFourier.py