The chapter numbers refer to the text, Kendall E. Atkinson,

Lecture | Date | Main Topic | Chapter |

1 | Tu 01/30 | Overview | |

2 | Th 02/01 | Gaussian elimination: LU factorization | |

3 | Tu 02/06 | Taylor's theorem, sources of error | 1 |

4 | Th 02/08 | Interpolation: theory and practice | 3 |

5 | Tu 02/13 | Interpolation: Newton divided differences | 3 |

6 | Th 02/15 | Interpolation: piecewise polynomial interpolation | 3 |

7 | Tu 02/20 | Interpolation: problems with equidistant nodes | 3 |

8 | Th 02/22 | Numerical differentiation: methods and errors | 5 |

9 | Tu 02/27 | Numerical differentiation: effect of round-off | 5 |

10 | Th 03/01 | Numerical integration: Newton-Cotes rules | 5 |

11 | Tu 03/06 | Numerical integration: theory | 5 |

12 | Th 03/08 | Numerical integration: Gaussian quadrature | 5 |

13 | Tu 03/13 | Review | |

14 | Th 03/15 | Midterm exam | |

Tu 03/20 | Spring Break | ||

Th 03/22 | Spring Break | ||

15 | Tu 03/27 | Approximation: orthogonal polynomials | 4 |

16 | Th 03/29 | Approximation: concepts and theory | 4 |

17 | Tu 04/03 | Rootfinding: basic methods | 2 |

18 | Th 04/05 | Rootfinding: theory of fixed-point methods | 2 |

19 | Tu 04/10 | Systems of nonlinear equations: Newton's method | 2 |

20 | Th 04/12 | Systems of nonlinear equations: Newton's method | 2 |

21 | Tu 04/17 | Numerical o.d.e.'s: problem and basic methods | 6 |

22 | Th 04/19 | Numerical o.d.e.'s: convergence of Euler's method | 6 |

23 | Tu 04/24 | Numerical o.d.e.'s: stability of Euler's method | 6 |

24 | Th 04/26 | Numerical o.d.e.'s: linear multi-step methods | 6 |

25 | Tu 05/01 | Numerical o.d.e.'s: Runge-Kutta methods | 6 |

26 | Th 05/03 | Numerical o.d.e.'s: methods for stiff problems | 6 |

27 | Tu 05/08 | Computer numbers: basic prinples | 1 |

28 | Th 05/10 | Computer numbers: IEEE-standard for floating-point numbers | 1 |

29 | Tu 05/15 | Review | |

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This page version 1.2, January 2001.