# MATH 344 (04747), Fall 2006

## Numerical Methods for Civil and Mechanical Engineers

Catalog Description:
The fundamentals of numerical methods for civil and mechanical engineering students. Topics include: approximation and interpolation, numerical solution to equations, numerical differentiation and integration, numerical solutions to differential equations, solutions of systems of equations, and finding eigenvalues. The topics will be posed in a setting of problems intended for civil and mechanical engineering students using MATLAB.
Prerequisites:
MATH 340 and CE 220.
Instructor:
Martin J. Mohlenkamp, mohlenka@ohio.edu, (740)593-1259, 315-B Morton Hall.
Office hours: Monday 1-2pm, Tuesday 11am-12, Thursday 5-6pm, and Friday 11am-12.
Web page:
http://www.ohio.edu/people/mohlenka/20071/344.
Class hours/ location:
MTuThF 10:10-11am in 314 Morton Hall.
Text:
Numerical Methods for Civil and Mechanical Engineers: Class Notes for MATH 344, Todd Young, 2005. Available at http://www.math.ohiou.edu/courses/math344.
Homework:
There will be weekly problem sets. These are group homeworks, to be done in groups of 2 or 3.
Good Problems:
On each problem set, one problem is designated a Good Problem. These problems will be graded both on content and on presentation. The idea is to practice writing mathematics regularly but in small pieces.
Tests:
There will be one mid-term test, in class, without the aid of the computer.
Final Exam:
The final exam is on Tuesday, November 21, at 8:00 am.
The homework is worth 50%, the midterm 20% 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-.
Late work:
Late homework sets are penalized 5% for each 24 hour period or part thereof, excluding weekends and holidays. You can resubmit a homework set to improve your score, but the late penalty will apply.
Attendance:
If your group receives any help on the homework, you must acknowledge in writing what help you received and from whom. It is permitted to have a student who has already taken this course explain a homework problem to you; however, it is not permitted to look at their written work or programs. The test and final exam must be your own work, and without the aid of notes, etc. 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.
Learning Resources:
• MATLAB: Ohio University Matlab Central; Local Matlab Quick Reference, Matlab Glossary, and Survival Guide; Official MATLAB Documentation; Random web Introduction to MATLAB, MATLAB Summary and Tutorial, and A Practical Introduction to MATLAB.
• 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.
• ## Schedule

Subject to change.
Week Date Lecture/Materials Homework/Test etc.
1 September 5 Introduction, Front matter
September 7 lecture 1
September 8 lecture 2
2 September 11 lecture 3
September 12 lecture 4 Homework 1 from lectures 1 and 2, and Good Problem Mathematical Autobiography using Layout
September 14 lecture 5; mybisect.m
September 15 lecture 7 and part I review
3 September 18 lecture 8
September 19 lecture 9 Homework 2 from lectures 3-5 and 7; do problem 3.3 as a Good Problem using Flow
September 21 lecture 10
September 22 lecture 11; Matrix Operations; Solving Linear Systems
4 September 25 lecture 12
September 26 lecture 13 Homework 3 from lectures 8-11; do problem 10.1 as a Good Problem using Symbols
September 28 lecture 14
September 29 lecture 15
5 October 2 lecture 16
October 3 part II review (in lecture 18)
October 5 Review Homework 4 from lectures 12-16; do problem 15.1 as a Good Problem.
October 6 study guide Test on Parts I and II
6 October 9 lecture 19 (drop deadline with WP/WF)
October 10 lecture 20
October 12 lecture 21
October 13 lecture 22
7 October 16 lecture 23
October 17 lecture 24; mylowerleft.m Homework 5 from lectures 19-22; do problem 21.2 as a Good Problem using Graphs
October 19 lecture 25; mytriangles.m; mywedge.m
October 20 lecture 27
8 October 23 lecture 28 and part III review; Build up of Roundoff Errors; part III study guide
October 24 lecture 29 Homework 6 from lectures 23-25 and 27; do problem 27.1 as a Good Problem using Intros
October 26 lecture 30; myeuler.m; Convergence of Euler Methods
October 27 lecture 31; mymodeuler.m
9 October 30 lecture 33
October 31 lecture 34; myheatdisk.m Homework 7 from lectures 28-31; do problem 29.1 as a Good Problem using Logic
November 2 lecture 35; myheat.m
November 3 lecture 36
10 November 6 lecture 37
November 7 lecture 38; mypoisson.m Homework 8 from lectures 33-36; do problem 36.1 as a Good Problem
November 9 lecture 39; mywasher.m
November 10 Veterans Day, no class
11 November 13 lecture 40; myfiniteelem.m
November 14 Review, part IV study guide Homework 9 from lectures 37 and 38; do problem 38.1 as a Good Problem
12 November 21 Final Exam Tuesday, at 8:00 am.

Martin J. Mohlenkamp