Math 5485      Introduction to Numerical Methods I       Fall, 2006

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
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.

UNITE:   The lectures will be broadcast and available on streaming video via UNITE Instructional TV. However, on-campus students will not have access to the streaming video until 10 days after the lecture has been presented. Please contact the UNITE Office for further information.

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.

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.

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.

First Midterm:    Wednesday, November 1
     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.


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.