## 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

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

## Lecture notes

 lecture 117 Jul lecture 219 Jul lecture 321 Jul lecture 424 Jul lecture 526 Jul lecture 628 Jul lecture 731 Jul lecture 82 Aug lecture 94 Aug lecture 107 Aug lecture 1111 Aug lecture 1214 Aug lecture 1316 Aug lecture 14118 Aug lecture 1521 Aug lecture 1623 Aug lecture 17225 Aug lecture 1828 Aug lecture 19330 Aug lecture 2011 Sep lecture 2113 Sep lecture 2218 Sep lecture 2320 Sep NOTES pt2B. Herbst
Code: 1laplaceSurf.m, 2laplaceDisk.m, 3partialIntegral.m

## Tutorials and assignments

 Tutorial 120 Julsolutions Tutorial 23 Augsolutions Tutorial 317 Augsolutions Tutorial 421 Sepsolutions Tutorial 528 SepCode Solution Tutorial 65 OctCode Solution Assignment 127 Julsolutions Assignment 210 Augsolutions Assignment 324 Augsolutions Assignment 414 Sepsolutions
Code: plotFourier.m, plotFourier.py