• This web page describes an activity within the Department of Mathematics at Ohio University, but is not an official university web page.
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MATH 640A (04708), Fall 2005

Numerical Analysis

Catalog Description (updated this fall):

In-depth treatment of numerical aspects of linear algebra and nonlinear systems.

Contents:

In 640A we will start at the beginning of numerical analysis with some preliminaries (chapter 1), and computer arithmetic (chapter 2). We will then cover nonlinear equations (chapter 3), and linear algebra (chapters 4 and 5).

Prerequisites:

Linear Algebra (MATH 511), Advanced Calculus (MATH 560A), and [Numerical Analysis (MATH 544) or Numerical Linear Algebra (MATH 546)]. If you are interested in taking this course but may be lacking a prerequisite, please consult with me first. Less-prepared students should consider Math 544/545/546, which offers similar material.

Instructor:

Martin J. Mohlenkamp, mohlenka@ohio.edu, (740)593-1283, 554 Morton Hall.
Office hours: Monday 2-3pm, Tuesday 10-11am, Thursday 10-11am and 5-6pm, and Friday 10-11am.

Web page:

http://www.ohiouniversityfaculty.com/mohlenka/20061/640A.

Class hours/ location:

MTu(W)ThF 11:10am-12 noon in 313 Morton Hall.

Text:

Numerical Analysis: Mathematics of Scientific Computing, 3rd edition, by David Kincaid and Ward Cheney, Brooks/Cole, 2002.

Homework:

There will be weekly homework assignments, consisting of:

• Traditional paper-and-pencil problems;
• Programming problems (I support Matlab, C, and Python, but other languages are acceptable); and
• Good Problems, which are graded half on content and half on presentation.

Exams:

There will be one midterm exam, probably in the fifth week. The final exam is on Saturday, November 19, at 10:10 am in our regular classroom. Calculators are permitted for arithmetic.

Project:

There will be a medium-sized project. I will help you to choose a topic that applies numerical analysis techniques to something that you encounter in your work, in your other classes, or in your outside interests. It should be interesting and perhaps even useful. You will write a report and give a presentation in class.

Grade:

Based on homeworks 40%, midterm exam 20%, project 20%, and the final exam 20%. An average of 90% guarantees you at least an A-, 80% a B-, 70% a C-, and 60% a D-. Grades are not the point.

Missed or Late work:

Late homeworks are penalized 5% for each 24 hour period or part thereof, excluding weekends and holidays. You can resubmit a homework to improve your score, but the late penalty will apply.

Attendance:

Attendance is assumed but is not counted in your grade. It is your responsibility to find out any announcements made in class.

Academic Dishonesty:

You are strongly encouraged to work together on the homework, but you must acknowledge in writing what help you received and from whom. The project must be primarily your own work; if you receive any help then you must acknowledge in writing what help you received and from whom. The midterm and final exam must be your own work, and without the aid of notes. Dishonesty will result in a zero on that work, and possible failure in the class and a report to the university judiciaries.

Special Needs:

If you have specific physical, psychiatric, or learning disabilities and require accommodations, please let me know as soon as possible so that your learning needs may be appropriately met.

Resources:

Your classmates are your best resource. Use them!

LaTeX: LaTeX help 1.1; A sample LaTeX file, samplelatex (.tex, .dvi, .ps, .pdf); A sample of latex with figures incorporated: latexfig.tex and the sample figure lfig.eps.

MATLAB: Ohio University Matlab Central; Local Matlab Quick Reference and Survival Guide; Official MATLAB Documentation; Random web Introduction to MATLAB, MATLAB Summary and Tutorial, and A Practical Introduction to MATLAB.

Schedule