Professor Peter J. Olver School of Mathematics Institute of Technology University of Minnesota Minneapolis, MN 55455 |
Vincent Hall 540 Phone: 612-624-5534 Fax: 612-626-2017 e-mail: olver@math.umn.edu http://www.math.umn.edu/~olver |

Lectures:
MWF 1:25-2:15, Mechanical Engineering 102 | |

Office Hours:
Monday 2:30-4:00, Friday 12:20-1:15, or by appointment |

**
Course Description:
**
Math 5485-6 is a basic introduction to numerical methods. Fall
semester will cover solution of equations and systems, numerical linear algebra and eigenvalues, interpolation and approximation, as well as numerical
differentiation and integration. Spring semester will cover numerical solution of ordinary differential equations, boundary value problems, and
partial differential equations, including finite elements.

**
Text:
**
Brian Bradie, *A Friendly Introduction to Numerical Analysis*, Prentice-Hall, Upper Saddle River, N.J., 2006.
I will cover chapters 1-5 in the first semester.

**
Homework:
**
Each assignment will consist of several problems from the text. Some problems may involve computer calculations; details will be given in class. Assignments handed out on a Wednesday will typically
be due the following Wednesday.

- Homework Assignment #1
- Homework Assignment #2
- Homework Assignment #3
- Homework Assignment #4
- Homework Assignment #5
- Homework Assignment #6
- Homework Assignment #7
- Homework Assignment #8
- Homework Assignment #9

**
Computer Projects:
**
I will be introducing and using the numerical and graphing package
Matlab to illustrate many of the
concepts and calculations. Students will be expected to learn the basics of
Matlab, and an introductory session will be held in the Math Computer Lab in Vincent Hall 5, at a time to be announced. Students who do not have access to Matlab will be given a math computer account.

The computer projects are expected to be programmed in Matlab. However, neither
the professor nor the grader will be expected to read computer code nor be responsible for
debugging! The final output must be in easily readable form, and the grade will depend on presentation and neatness as well as mathematical correctness. Unintelligible outputs will
receive no credit.

- Basic Introduction to Matlab: pdf ps
- Matlab Programs

**
Hour Exams:
**
Make-up exams will only be given in
exceptional circumstances, and then only when notice is given to me before hand and a suitable written excuse forthcoming.

Will cover sections 1.2-4, 2.1-6, 3.1-3, 5, 6, 7 (diagonally dominant and tridiagonal matrices), and 8.

**Second Midterm:
** Friday, December 8

Will cover sections 3.10, 4.1-5, 5.1-4.

**
Final Exam:**
Take Home.

To be handed out in class and on line Wednesday, December 13.

**Due:**
12:00 noon, Monday, December 18.

**
Grading:
**

- Homework and Computer Projects 40%
- Hour Exams 15% each
- Final Exam 30%

**
Incompletes:
**
Only given in extreme circumstances, and only when the student has satisfactorily
completed all but a small portion of the work in the course. Students **must**
make prior arrangements with the professor well before the end of the quarter.

**
Grading Standards and Student Conduct:
**
Students are expected to be familiar with University of Minnesota policies on
grading standards and
student
conduct, including the consequences for students who violate standards of academic
honesty.