Prerequisites: Math 3323 (or 4326) and working knowledge of a high level programming language

The text is "Elementary Numerical Analysis, Third Edition" Atkinson and Han, John Wiley & Sons, 2003.

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

Topics | section | HW assignment | due |
---|---|---|---|

Taylor Polynomials | 1.1 | 2ac,3ab | Jan 27 |

1.2 | 1,2 | Jan 27 | |

Error and Computer Arithmetic | 2.1 | 1bde | Jan 29 |

2.2 | 1b,5acde,6ch | Jan 29 | |

Rootfinding | 3.1 | 1d*,10,14 | Feb 5 |

3.2 | 3,11*(both roots; calc. exp. order) | Feb 5 | |

3.3 | 6*(both roots; calc. exp. order) | Feb 12 | |

3.4 | 8,11,12,16 | Feb 12 | |

3.5 | 3 (note typo) | Feb 12 | |

Test I | Chapters 1,2,3 | Feb 17 | |

Interpolation and Approximation | 4.1 | 1,8 | Feb 24 |

4.2 | 1,14 | March 3 | |

4.3 | 13,15 | March 3 | |

Numerical Integration and Differentiation | 5.1 | 2*(N=8,16),11,12 | March 17 |

5.2 | 16 | March 19 | |

5.3 | repeat 5.1, problem 2, using Gauss 3 point formula* | March 19 | |

5.4 | 1* | March 19 | |

Solution of Systems of Linear Equations | 6.1 | 1 | March 26 |

6.3 | 5*(use gel.m below),6c | March 26 | |

Test II | Chapters 4,5,6 | April 2 | |

6.5 | 1c* (i,ii,iii only; H-12 with x=(1,1,...,1)) | April 14 | |

6.6 | 1a*,12 | April 16 | |

Numerical Linear Algebra | 7.2 | 1ac,16a*c* (don't est. lambda_{2}) | April 16 |

7.3 | 3* | April 23 | |

Ordinary Differential Equations | 8.2 | 1b* | April 23 |

8.5 | 2b* | April 30 | |

8.6 | 1b* (no Richardson error estimate) | April 30 | |

8.7 | 3b,7b* | May 7 | |

Final | comprehensive | May 12, 10am | |

* = computer problem requiring MATLAB

** Grades **

- 20% based on homework
- homework problems involving MATLAB (*) can be run in the Computer Lab in Bell Hall during open hours. Turn in printout (only) of MATLAB program and output. Tutorials on using MATLAB are here and here .
- homeworks are individual, not group, projects
- homework will be collected every due date, and selected problems will be graded
- late homework not accepted, even if absence is excused

- 20% based on Test I
- make-up tests will be given only for excused absences
- make-up tests will be different from scheduled tests

- 20% based on Test II
- 40% based on Final (comprehensive)

90-100% | guaranteed A |

80-89% | guaranteed B or better |

70-79% | guaranteed C or better |

60-69% | guaranteed D or better |

below 60% | no guarantees |

Chapter 6 Video (LU decomposition)

Chapter 6 Video (Band solvers and iterative methods)

Chapter 7 Video (Power method for eigenvalues)

Chapter 8 Video (Truncation error, Stability, Adams methods)

Chapter 8 Video (Stiffness, Runge-Kutta methods)

** Old Tests **

Fall 2009: Test I | Test II | Final

Fall 2010: Test I | Test II | Final

Spring 2011: Test I | Test II | Final

Fall 2012: Test I | Test II | Final

Spring 2014: Test I | Test II | Test III | Final

Fall 2014: Test I | Test II | Final

Spring 2015: Test I | Test II | Final

** Note: Drop Deadline is April 6 **

Tutoring: Math Resource Center for Students (MaRCS)

gel.m (for Problem 5, section 6.3)

Logistic Map Applet (see Problem 12, section 3.4)