GEORGE'S COMMUNITY COLLEGE
Department of Physical Science and Engineering
Welcome to Introductory Numerical Methods!
EGR 205 Introductory Numerical Methods
Reference No. 9276
INSTRUCTOR: Dr. Scott D. Johnson, Associate Professor, Engineering Coordinator, Physical Sciences and Engineering
OTHER LOCATIONS: CH-308 (Faculty Resource Room) and CH-100 (Department)
PHONE NUMBERS: 301-386-7536 (Office) or 301-322-0420 (Department Main Line)
EMAIL ADDRESS: email@example.com
To facilitate e-mail communication with me, please include the following code: CCGP07 along with the course designation (EGR 205) in the subject of any e-mails to me during the Spring 2007 semester.
Example: EGR205: Need help on roots of equations: CCGP07
WEB PAGE: http://academic.pgcc.edu/~sjohnson
OFFICE HOURS: MW 7:15-7:45pm; TTh 5:35-7:30pm, by appointment all other times
The understanding of a variety of numerical methods is crucial to solving most high-level applications in engineering, physics, chemistry, and biology. This course, recognizing this fact, emphasizes case studies in a number of areas including mechanical, civil, environmental, electrical, aerospace, chemical, and biological engineering. Subjects to be studied include error analysis, roots of non-linear equations, systems of linear equations, optimization, curve fitting including splines, Fourier analysis, modeling, numerical differentiation and integration, and numerical solving of differential equations including, but not limited to, predictor-corrector methods and finite element analysis. Extensive surveys of a number of advanced subjects include digital filters, molecular dynamics, percolation, and Monte Carlo simulation methods. Some new mathematical concepts will be introduced in the class. A number of software packages important to engineering are surveyed with primary emphasis on MATLAB.
MAT 242, EGR 101 and some knowledge of computer programming.
COURSE LEARNING OUTCOMES:
Upon successful completion of the course a student will be able to
Give an error on solutions to numerically solved problems and qualify that error.
Demonstrate the ability to use the appropriate numerical methods to solve complex science or engineering problems.
Use a software package to aid in the solution of a complex science or engineering problem.
Solve for the roots, minimum, and maximum of an equation, solve a system of equations,fit a curve to a set of data, and perform numerical differentiation and integration.
Perform a rudimentary Fourier analysis.
Demonstrate an understanding of the numerical techniques to solve differential equations.
for Engineers 5th Edition. Chapra,Steven and Canale, Raymond.
McGraw-Hill. (2006). RECOMMENDED
MATLAB Tutorial CD: Learning MATLAB Superfast . Daku, Brian. John Wiley & Sons (2005).
OTHER REQUIRED COURSE MATERIALS:
Pens, Pencils, Eraser, Straight edge, Paper, and Calculator are required for every class.
OUTSIDE CLASS REQUIREMENTS:
As with any class an amount of time at least equivalent to two times the credit hours is expected to be performed for homework and labs. Please allot sufficient time for homework.
Homework will be assigned each week including the first week.
Evaluation of student performance is to be based on:
Unannounced quizzes and homework will account for approximately 25% of the semester grade. Homework consists of essays that are to be written in standard English format and problem sets.
Four extensive projects will be assigned that will constitute 60% of the total grade. These projects are to be an original individual work. A grade of zero will be given to anyone who copies their projects.
A four to five page essay surveying the material in the course. This essay is to include not just the methods but a practical guide on to when to use different numerical methods. This is worth approximately 15% of the semester grade.This project is to be an original individual work. A grade of zero will be given to anyone who copies their projects.
HOW ASSIGNMENTS ARE TO BE SUBMITTED
Homework is due at the start of class (or before) except for in-class projects.
Laboratory work is to be submitted in appropriate binders follow any standard laboratory format (this will be reviewed in class).
Make-up homework, quizzes, and/or tests are up to the discretion of the teacher (excused absences only). No makeup will be possible for laboratory work, sufficient time should be available to recover if an absence is necessary.
New topics are to be covered each week and include but are not limited to the following subjects. This outline is subject to change.
Week 2 Modeling and Error Analysis
Week 3 Roots of Equations
Week 4 Roots of Equations
Week 5 Linear Algebraic Equations
Week 6 Linear Algebraic Equations
Week 7 Optimization
Week 8 Optimization
Week 9 Curve Fitting
Week 10 Fourier Analysis
Week 11 Numerical Differentiation
Week 12 Numerical Integration
Week 13 Differential Equations
Week 14 Finite Differences and Finite Element method
Week 15 Simulation methods: Molecular Dynamics, Monte Carlo, and Percolation
A new chapter should be read each week usually following the title of the topic above. Problems will be based off of the reading.
Quizzes will all be unannounced so be prepared.
Tests will be announced a week before and will depend on our progress in the classroom.
Food and drink in limited quantities (snacks, not meals) are permitted in restricted areas (not near electronics) and will be revoked if proper cleanliness is found wanting.
Cell phones must be in vibrate mode and are only to be answered for emergencies (step outside please).
Common courtesy is to apply at all times.
Last day to apply for spring graduation
Thursday, February 15
President's Day. COLLEGE CLOSED
Monday, February 19
Last day to change from "audit to credit" or "credit to audit" for full-semester classes
Friday, February 23
Midterm - middle of semester; class will speed up
Tuesday, March 20
Spring break. COLLEGE CLOSED for the week.
Saturday-Friday, April 7 to April 13
Last day to withdraw from full-semester classes
Friday, April 20
Last Day of regular classes for the Spring Semester
Wednesday, May 9
Final exam period/last week of classes
Monday, May 14
Computer programming maybe done in class (CH-307) on the portable PCs during designated time periods.
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