Let wel: hierdie webblad is ook in Afrikaans beskikbaar.


This was the module's website for the second semester of 2015.
Some of the links are no longer active.


Announcements

  • TEST 2: Tuesday 10 Nov, 14:00 in Wilcocks 1001
    The test covers the second half of the work, i.e. lectures 20 to 35. Tutorials and computer assignments are also important. Remember to bring a calculator.
    This test counts 25% of your final mark for AM244.

  • PLEASE NOTE: the test (that would have been 3 Nov) is officially scheduled by the university, therefore it moves ahead one week along with all the exams/tests.
    New date: 10 November.

  • Here is an unofficial preliminary list of marks. I stress that it is unofficial.
    (TT = tutorial test, RO = computer assignment, TOETS1 = class test 1)


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 3.2, 3.3 nonlinear models, 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, Laplace transforms
10 7.2, 7.6 solving DEs and systems of DEs with the Laplace transform
11 8.2, 10.1 diagonalization, introduction to autonomous systems
12 10.2, 10.3 stability of linear and nonlinear autonomous systems
13 10.4 models of autonomous systems, revision
*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
(20 Jul)
lecture 2
(21 Jul)
lecture 3
(24 Jul)
lecture 4
(27 Jul)
lecture 5
(28 Jul)
lecture 6
(31 Jul)
lecture 7
(3 Aug)
lecture 8
(4 Aug)
lecture 9
(7 Aug)
lecture 10
(11 Aug)
lecture 11
(14 Aug)
lecture 12
(17 Aug)
lecture 13
(18 Aug)
lecture 14
(21 Aug)
lecture 15
(24 Aug)
lecture 16
(25 Aug)
lecture 17
(28 Aug)
lecture 18
(31 Aug)
lecture 19
(1 Sep)
lecture 20
(14 Sep)
lecture 21
(15 Sep)
lecture 22
(18 Sep)
lecture 23
(21 Sep)
lecture 24
(22 Sep)
lecture 25
(25 Sep)
lecture 26
(28 Sep)
lecture 27
(29 Sep)
lecture 28
(2 Oct)
lecture 29
(5 Oct)
lecture 30
(6 Oct)
lecture 31
(9 Oct)
lecture 32
(12 Oct)
lecture 33
(13 Oct)
lecture 34
(16 Oct)
lecture 35
(19 Oct)






Tutorials and assignments

Tutorial 1
(22 Jul)
solutions
Tutorial 2
(5 Aug)
solutions
Tutorial 3
(19 Aug)
solutions
Tutorial 4
(2 Sep)
solutions
Tutorial 5
(30 Sep)
solutions
Tutorial 6
(14 Oct)
solutions
Assignment 1
(29 Jul)
solutions
Assignment 2
(12 Aug)
solutions
Assignment 3
(26 Aug)
solutions
Assignment 4
(16 Sep)
solutions
Assignment 5
(7 Oct)
solutions
Matlab function dfield8.m and pplane8.m (written by John Polking -- here is a link to his website).
Here is an ode45 manual that describes its usage in short.


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.