Prerequisites: Math 3323 and working knowledge of a high level programming language

The text is "Numerical Analysis: Mathematics of Scientific Computing, 3rd edition" David Kincaid & Ward Cheney, Brooks & Cole, 2002

Topics | chapter |
---|---|

Introductory Material | 1,2 |

Nonlinear Equations | 3 |

Optimization | 11 |

Systems of Linear Equations | 4 |

Eigenvalue Problems | 5 |

Interpolation | 6 |

Integration and Differentiation | 7 |

Ordinary Differential Equations | 8 |

Problem list may change during semester, so re-check before starting each assignment.

read sections | do problems | date due |
---|---|---|

1.1 | 5ab(only one form for E_{n}),31,33 | Aug 31 |

1.2 | 6,7ce | Aug 31 |

2.1 | C6 | Aug 31 |

2.2 | 6,8,13,C1 | Aug 31 |

3.1 | 14,C1,C4 | Sept 14 |

3.2 | 1,6,11,15,C1,C14 | Sept 14 |

3.3 | C1 | Sept 14 |

3.4 | 19,33(analyze at each root),38,40 | Sept 21 |

11.1 | 1 | Sept 21 |

11.2 | 1(Rosenbrock only),2 | Sept 21 |

11.3 | Sept 21 | |

Test I | Chapters 1,2,3,11 | Sept 26 |

4.1 | 3,15 | Oct 10 |

4.2 | 7,17,27,30,32 | Oct 10 |

4.3 | 9("unscaled" pivoting) | Oct 10 |

4.4 | 2,3,21,40(skip 2-norm) | Oct 10 |

4.6 | 1,29,C1 | Oct 17 |

5.1 | 12,22,C1 | Oct 17 |

6.1 | 1ce,13,27 | Oct 26 |

6.2 | 23 | Oct 26 |

6.4 | 5,14 | Oct 26 |

Test II | Chapters 4,5,6 | Oct 31 |

7.1 | 6(verify only) | Nov 9 |

7.2 | 1,4 | Nov 9 |

7.3 | 3(verify only; note typo), extra problem | Nov 16 |

7.5 | Nov 16 | |

8.2 | 4,C1 | Nov 16 |

8.3 | Nov 16 | |

8.4 | 5(calc. truncation error),C3(h=0.1) | Nov 23 |

8.5 | 6 | Nov 23 |

8.6 | 3(not autonomous) | Nov 23 |

Test III | Chapters 7,8 | Nov 28 |

Final | Comprehensive | Dec 9, 10am |

** Grading Policy: **

- Homework assignments: 20% of your grade. Homeworks are INDIVIDUAL, not group projects! Some homeworks will involve MATLAB programming. Tutorials on using MATLAB are here and here .
- Test I, over chapters 1,2,3,11: 20%
- Test II, over chapters 4,5,6: 20%
- Test III, over chapters 7,8: 20%
- Final, comprehensive: 20%

90-100% | guaranteed A |

80-89% | guaranteed B or better |

70-79% | guaranteed C or better |

below 70% | no guarantees |

Chapter 4 Video (for MATH 5330; matrix algebra review)

Chapter 4 Video (for MATH 5330; LU decomposition)

Chapter 4 Video (for MATH 5330; Band solvers and iterative methods)

Chapter 5 Video (for MATH 5330; Power method for eigenvalues)

Chapter 8 Video (for MATH 5343; Truncation error, Stability, Adams methods)

Chapter 8 Video (for MATH 5343; Stiffness, Runge-Kutta methods)

** Old Tests **

Fall 2008: Test I | Test II | Test III | Final

Fall 2011: Test I | Test II | Test III | Final

Fall 2013: Test I | Test II | Test III | Final

Fall 2016: Test I | Test II | Test III | Final

** Solutions **

First Tests | Second Tests | Third Tests | Final Exams

** Note: Drop Deadline is October 28 **