Let wel: hierdie webblad is ook in Afrikaans beskikbaar.


Announcements

  • Lectures: Mon 10:00 in A406, Tue 8:00 in A406, Fri 11:00 in A406.
    Tutorials: Wednesdays 14:00 in A406 or Narga H.

  • Next tutorial (1 Oct): A406.

  • Here is a list of all the marks up to now, that is the first 4 tut-tests (TT), the first 3 computer assignments (RO), and term test 1 (KT1).


Schedule

WeekSections*Topics**
1 1.1, 1.2, 2.1 introduction, definitions, initial value problems, direction fields
2 2.2, 2.3, 2.6 separable variables, integration factors, numerical methods
3 3.1 linear models
4 3.2 nonlinear models
5 3.3 systems of 1st-order DEs
6 4.1, 4.3, 4.4 higher-order linear DEs (homogeneous and non-homogeneous)
7 4.9 solving linear systems
vacation
8 5.1 spring-mass systems
9 5.3, 7.1 driven spring-mass systems, the pendulum, Laplace transforms
10 7.2, 7.6 solving DEs and systems of DEs with the Laplace transform
11
*The sections refer to sections in the textbook.
**Topics covered in class are not necessarily limited to those listed here.

Lecturer

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



Textbook

Zill & Wright

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


Lecture notes

Think Before Printing
lecture 1
(21 Jul)
lecture 2
(22 Jul)
lecture 3
(25 Jul)
lecture 4
(28 Jul)
lecture 5
(29 Jul)
lecture 6
(1 Aug)
lecture 7
(4 Aug)
lecture 8
(5 Aug)
lecture 9
(8 Aug)
lecture 10
(11 Aug)
lecture 11
(12 Aug)
lecture 12
(15 Aug)
lecture 13
(18 Aug)
lecture 14
(19 Aug)
lecture 15
(22 Aug)
lecture 16
(25 Aug)
lecture 17
(26 Aug)
lecture 18
(29 Aug)
lecture 19
(1 Sep)
lecture 20
(2 Sep)
lecture 21
(15 Sep)
lecture 22
(19 Sep)
lecture 23
(22 Sep)
lecture 24
(23 Sep)
lecture 25
(25 Sep)
lecture 26
(29 Sep)
lecture 27
(30 Sep)














Tutorials and assignments

Tutorial 1
(23 Jul)
solutions
Tutorial 2
(6 Aug)
solutions
Tutorial 3
(20 Aug)
solutions
Tutorial 4
(3 Sep)
solutions
Tutorial 5
(1 Oct)
 
Assignment 1
(30 Jul)
solutions
Assignment 2
(13 Aug)
solutions
Assignment 3
(27 Aug)
solutions
Assignment 4
(17 Sep)
submit: 1 Oct
Here is an ode45 manual that describes its usage in short.
Matlab function dfield8.m (written by John Polking -- here is a link to his website).


MCM competition

Every year two teams chosen from TW244 participate in an international competition on mathematical modelling. Here is information on our teams from the past, and here is the competition website.