MATH 640B (04212), Winter 2004

Numerical Analysis

Catalog Description for 640ABC:
Approximation by piecewise polynomial functions, variational principles, variational formulation of partial differential equations. The Rayleigh-Ritz-Galerkin method, convergence of approximations, time-dependent problems, isoparametric elements and nonconforming finite element methods, applications.
Real story:
In 640B we will finish off linear algebra (chapter 5), and then cover approximation (chapter 6) and numerical differentiation and integration (chapter 7). If time allows we will start numerical ODE's (chapter 8).
Prerequisites:
MATH 640A from the fall quarter, or permission.
Instructor:
Martin J. Mohlenkamp, mohlenka@ohio.edu, (740)593-1283, 554 Morton Hall.
Office hours: Monday 2-3pm, Tuesday 10-11am, Thursday 2-3pm, and Friday 10-11am.
Web page:
http://www.ohio.edu/people/mohlenka/20042/640B.
Class hours/ location: 
MT(W)HF 1:10-2pm 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 homework assignments about once a week. Homework will be a mixture of paper and pencil problems and programming. Having your programs work is essential, but style and proper commenting also count. I will support Matlab and C, but you can use another language if you prefer. Each week one problem will be designated a Good Problem, and will be graded partly on presentation. The idea is to practice writing mathematics regularly but in small pieces.
Exam:
The final exam is on Thursday 18 March at 2:30pm in our regular classroom.
Grade:
Based on homeworks 70%, and the final exam 30%. 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.
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 exams must be your own work, and without the aid of calculators or 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:
  • 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; Colorado MATLAB Help Desk; Local Matlab Quick Reference (.pdf) and Survival Guide (.pdf); Official MATLAB Documentation; Random web Introduction to MATLAB, MATLAB Summary and Tutorial, and A Practical Introduction to MATLAB.
  • Schedule

    Subject to change.  
    Week Date Homework/ Test/ etc.
    1 Jan 5 Introduction
    Jan 6
    Jan 8  
    Jan 9  
    2 Jan 12
    Jan 13 Homework 1 (.pdf) due
    Jan 15  
    Jan 16  
    3 Jan 19 Martin Luther King Day, no class
    Jan 20 I'm travelling, no class
    Jan 22
    Jan 23 Homework 2 (.pdf) due 
    4 Jan 26
    Jan 27
    Jan 29 Homework 3 (.pdf) due.
    Jan 30
    5 Feb 2  
    Feb 3
    Feb 5
    Feb 6 Homework 4 (.pdf) due
    6 Feb 9  
    Feb 10
    Feb 12
    Feb 13 Homework 5 (.pdf) due
    7 Feb 16  
    Feb 17  
    Feb 19
    Feb 20
    8 Feb 23  
    Feb 24 Homework 6 (.pdf) due
    Feb 26
    Feb 27
    9 Mar 1  
    Mar 2
    Mar 4
    Mar 5  
    10 Mar 8  
    Mar 9 Homework 7 (.pdf) due
    Mar 11
    Mar 12
    11  Mar 18 Final Exam 2:30-4:30pm Thursday, in our classroom

    Martin J. Mohlenkamp
    Last modified: Fri Sep 3 13:53:53 EDT 2010