• This web page describes an activity within the Department of Mathematics at Ohio University, but is not an official university web page.
• If you have difficulty accessing these materials due to visual impairment, please email me at mohlenka@ohio.edu; an alternative format may be available.

# MATH 344 A01 (05055), Spring 2011

## 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.
Desired Learning Outcomes:
The ability to use MATLAB to solve common engineering problems, and in particular solve systems of nonlinear algebraic equations using Newton-Raphson, and solve initial value ODEs. The ability to define issues such as convergence, stability, computational cost, and error propagation as they apply to numerical integration and differentiation.
Prerequisites:
MATH 340.
Instructor:
Martin J. Mohlenkamp, mohlenka@ohio.edu, (740)593-1259, 315-B Morton Hall.
Office hours: Monday 1-2pm, Tuesday 1-2pm, Thursday 1-2pm, and Friday 9-10am, or by appointment.
Web page:
http://www.ohiouniversityfaculty.com/mohlenka/20113/344.
Class hours/ location:
MTuThF 10:10-11am in 314 Morton Hall.
Text:
Introduction to Numerical Methods and Matlab Programming: Class Notes for MATH 344, Todd Young and Martin Mohlenkamp, 2008. Available at http://www.math.ohiou.edu/courses/math344.
Homework:
Each lecture in the text has a few homework problems, which are due two class days after we cover that lecture. These are group homeworks, to be done in groups of 2 or 3 students.
Good Problems:
About once a week, one homework 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 Thursday, June 9, at 8:00 am.
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:
Homework is due by the end of class. Late homework is penalized 5% for each class day (or part thereof) late. 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. However, you should estimate that for each class you miss your average will decrease by one point due to the learning you missed. It is your responsibility to find out any announcements made in class.
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 tests 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:
• ## Schedule

Subject to change.
Week Date Topic/Materials Homework/Test etc.
1
Part I: Matlab and Solving Equations
Mon Mar 28 Introduction, Front matter, lecture 1
Tue Mar 29 lecture 2 Good Problem Mathematical Autobiography using Layout
Thu Mar 31 lecture 3 lecture 1 homework
Fri Apr 1 lecture 4 lecture 2 homework
2
Mon Apr 4 lecture 5; mybisect.m lecture 3 homework
Tue Apr 5 lecture 7 and part I review lecture 4 homework
Part II: Linear Algebra
Thu Apr 7 lecture 8 lecture 5 homework; do problem 5.2 as a Good Problem using Flow
Fri Apr 8 lecture 9 lecture 7 homework
3
Mon Apr 11 lecture 10 lecture 8 homework (drop deadline)
Tue Apr 12 part I study guide Test on Part I (lectures 1-5 and 7)
Thu Apr 14 lecture 11 lecture 9 homework
Fri Apr 15 lecture 12 lecture 10 homework
4
Mon Apr 18 lecture 13 lecture 11 homework; do problem 11.1 as a Good Problem using Symbols
Tue Apr 19 lecture 14 lecture 12 homework
Thu Apr 21 lecture 15 lecture 13 homework
Fri Apr 22 lecture 16; part II review (in lecture 18) lecture 14 homework
5
Part III: Functions and Data
Mon Apr 25 lecture 19 lecture 15 homework; do problem 15.1 as a Good Problem using Logic
Tue Apr 26 lecture 20 lecture 16 homework
Thu Apr 28 lecture 21 lecture 19 homework
Fri Apr 29 part II study guide Test on Part II (lectures 8-16)
6
Mon May 2 lecture 22 lecture 20 homework (drop deadline with WP/WF)
Tue May 3 lecture 23; mywedge.m; mywasher.m lecture 21 homework
Thu May 5 lecture 24; mylowerleft.m lecture 22 homework
Fri May 6 lecture 25; mywedge.m lecture 23 homework
7
Mon May 9 lecture 27 lecture 24 homework
Tue May 10 lecture 28 and part III review lecture 25 homework
Part IV: Differential Equations
Thu May 12 lecture 29 lecture 27 homework; do problem 27.1 as a Good Problem using Intros
Fri May 13 lecture 30; myeuler.m; mymodeuler.m lecture 28 homework
8
Mon May 16 lecture 31 lecture 29 homework
Tue May 17 part III study guide Test on Part III (lectures 19-25, 27, and 28)
Thu May 19 lecture 33; myexactbeam.m lecture 30 homework
Fri May 20 lecture 34; myheatdisk.m lecture 31 homework
9
Mon May 23 lecture 35; myheat.m lecture 33 homework; do problem 33.1 as a Good Problem using Graphs
Tue May 24 lecture 36 lecture 34 homework
Thu May 26 lecture 37 lecture 35 homework
Fri May 27 lecture 38; mypoisson.m lecture 36 homework; do problem 36.1 as a Good Problem
10
Mon May 30 Memorial Day, no class
Tue May 31 lecture 40; mywasher.m lecture 37 homework
Thu Jun 2 lecture 41 and Part IV review; myfiniteelem.m lecture 38 homework
Fri Jun 3 Review, part IV study guide lecture 40 homework
11
Thu Jun 9 Final Exam 8-10 am., in our classroom.

Martin J. Mohlenkamp