MATH 344 (04946), Winter 2007

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 2-3pm, Tuesday 10-11am, Thursday 5-6pm, and Friday 10-11am.
Web page:
http://www.ohio.edu/people/mohlenka/20072/344.
Class hours/ location:
MTuThF 11:10am-12 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 three mid-term tests, in class, without the aid of the computer.
Final Exam:
The final exam is on Wednesday, March 14, at 10:10am.
Grade:
The homework is worth 50%, each test 10% 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-.
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:
Attendance is assumed but is not counted in your grade. It is your responsibility to find out any announcements made in class.
Academic Dishonesty:
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:
  • Your classmates are your best resource. Use them!
  • The Academic Advancement Center's Math Center http://www.ohiou.edu/aac/math has drop-in help, tutors, online help, and a telephone hotline.
  • 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 January 4 Introduction, Front matter, lecture 1
    January 5 lecture 2
    2 January 8 lecture 3
    January 9 lecture 4
    January 11 lecture 5; mybisect.m Homework 1 from lectures 1, 2, and 3, and Good Problem Mathematical Autobiography using Layout
    January 12 lecture 7 and part I review
    3 January 15 Martin Luther King Jr. Day, no class
    January 16 lecture 8 (drop deadline January 17)
    January 18 lecture 9 Homework 2 from lectures 4, 5 and 7; do problem 5.2 as a Good Problem using Flow
    January 19 lecture 10
    4 January 22 part I study guide Test on Part I (lectures 1-5 and 7)
    January 23 lecture 11; Matrix Operations; Solving Linear Systems
    January 25 lecture 12
    January 26 lecture 13
    5 January 29 lecture 14 Homework 3 from lectures 8-12; do problem 10.1 as a Good Problem using Symbols
    January 30 lecture 15
    February 1 lecture 16; part II review (in lecture 18)
    February 2 lecture 19; lecture 20
    6 February 5 lecture 21 Homework 4 from lectures 13-16; do problem 15.1 as a Good Problem.
    February 6 lecture 22 (drop deadline with WP/WF)
    February 8 part II study guide Test on Part II (lectures 8-16)
    February 9 lecture 23
    7 February 12 lecture 24; mylowerleft.m
    February 13 lecture 25; mytriangles.m; mywedge.m Homework 5 from lectures 19-23; do problem 21.2 as a Good Problem using Graphs
    February 15 lecture 27
    February 16 lecture 28 and part III review
    8 February 19 lecture 29; lecture 30; myeuler.m; mymodeuler.m
    February 20 lecture 31 Homework 6 from lectures 24-25, 27 and 28; do problem 27.1 as a Good Problem using Intros
    February 22 lecture 33
    February 23 part III study guide Test on Part III (lectures 19-25, 27, and 28)
    9 February 26 lecture 34; myheatdisk.m
    February 27 lecture 35; myheat.m
    March 1 lecture 36 Homework 7 from lectures 29-31,33,34; do problem 29.1 as a Good Problem using Logic
    March 2 lecture 37
    10 March 5 lecture 38; mypoisson.m
    March 6 lecture 39; mywasher.m
    March 8 lecture 40; myfiniteelem.m
    March 9 Review, part IV study guide Homework 8 from lectures 35-39; do problem 36.1 as a Good Problem
    11 March 14 Final Exam Wednesday, at 10:10am.

    Martin J. Mohlenkamp
    Last modified: Fri Sep 3 13:54:18 EDT 2010