Lecture Number | Date | Material | Assignment |

1 | Thur Aug 24 | 1.1 Review of Calculus (Read on your own) (Details) 1.2 Roundoff Error and Computer Arithmetic (Details) Everything about Computer Arithmetic (ps) | Read 1.1, esp. about Taylor and MVT |

2 | Tues Aug 29 | 1.3 Algorithms and Convergence (Details) | HW #1 (parallelpiped = BOX) |

3 | Thur Aug 31 | 3.1 Interpolation and the Lagrange Polynomial (Details) Info on Polynomials (ps) (pdf) | |

4 | Tues Sep 5 | 3.2 Divided Differences (Details) | |

5 | Thur Sep 7 | 3.3 Hermite Interpolation (Details) Graph of Runge Function and Interpolants (B&W PS) (Color PS) (JPEG) | |

6 | Tues Sep 12 | 3.4 Cubic Spline Interpolation (Details) | HW #2 HW #1 Due |

7 | Thur Sep 14 | 3.4 Cubic Spline Interpolation (conclusion) (Details) | |

8 | Tues Sep 19 | 8.1 Discrete Least Squares Approximation (Details) | |

9 | Thur Sep 21 | 8.2 Orthogonal Polynomials and Least Squares Approximation (Details) | |

10 | Tues Sep 26 | 8.5 Trigonometric Polynomial Approximation (Details) | HW #3 HW #2 Due |

11 | Thur Sep 28 | 4.1 Numerical Differentiation (Details) | *** Project Information *** |

12 | Tues Oct 3 | 4.2 Richardson's Extrapolation (Details) | |

13 | Thur Oct 5 | 4.3 Elements of Numerical Integration (Details) | |

14 | Tues Oct 10 | 4.4 Composite Numerical Integration (Details) | HW #4 HW #3 Due |

15 | Tues Oct 17 | 4.5 Romberg Integration (Details) | Information about the Midterm (Postscript) (PDF) |

16 | Thur Oct 19 | 4.6 Adative Quadrature Methods (Details) | |

17 | Tues Oct 24 | 4.7 Gaussian Quadrature (Details) | HW #4 Due |

18 | Thur Oct 26 | MIDTERM | |

19 | Tues Oct 31 | 5.1 The Elementary Theory of Initial-Value Problems (Details) 5.2 Euler's Method (Details) | HW #5 |

20 | Thur Nov 2 | 5.3 Higher-Order Taylor Methods (Details) | |

21 | Tues Nov 7 | 5.4 Runge-Kutta Methods (theory) (Details) | |

22 | Thur Nov 9 | 5.4 Runge-Kutta Methods (examples) (Details) | Project #1 Due |

23 | Tues Nov 14 | 5.5 Error Control and the Runge-Kutta-Fehlberg Method (Details) | HW #6 HW #5 Due |

24 | Thur Nov 16 | 5.6 Multistep Methods (Details) | |

25 | Tues Nov 21 | 5.9 Higher-Order Equations and Systems of Differential Equations (Details) | |

26 | Tues Nov 28 | 5.10 Stability (Details) | HW #7 HW #6 Due |

27 | Thur Nov 30 | 11.1 The Linear Shooting Method (Details) | |

28 | Tues Dec 5 | 11.2 The Shooting Method for Nonlinear Problems (Details) | |

29 | Thur Dec 7 | 11.3 Finite-Difference Methods for Linear Problems (Details) | Rest of Projects Due Information about the Final (Postscript) (PDF) |

Tues Dec 12 | HW #7 Due (in my office by 5:00) | ||

Thur Dec 14 | FINAL EXAM 12:30-2:30 |