*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*Some of the links are no longer active.*## Announcements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

Week | Sections* | 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.*