**PRINCE GEORGE'S COMMUNITY COLLEGE**

**Department of Physical Science and Engineering**

**Engineering Program****
Welcome to Introductory Numerical Methods!**

EGR 2050 Introductory Numerical Methods

Number LE01

**INSTRUCTOR**:
Dr. Scott D. Johnson, Associate Professor, Engineering Coordinator,
Physical Sciences and Engineering

**OFFICE**:
HT-229R (or CAT-229R)

**OTHER
LOCATIONS: **CH-100 (Department), the classroom proper, and the Cyber Cafe

**PHONE
NUMBERS**: 301-386-7536 (Office) or 301-322-0420 (Department Main Line)

**E-MAIL ADDRESS:
sdjohnson@pgcc.edu**

To facilitate e-mail communication with me, please include the following
code: **CCGP07 along with
the course designation (EGR 2050) **in
the *subject* of any e-mails to me during the Fall 2009
semester. (The code stops legitimate e-mail messages from being evaluated wrongly
as SPAM but does not allow e-mails that contain a virus or illegal attachment
into our network.)

*Example:*
EGR2050: Need help on roots of equations: CCGP07

**ENGINEERING PROGRAM'S WEB PAGE**: *
http://academic.pgcc.edu/~sjohnson/engineering.html*

**WEB PAGE**: *http://academic.pgcc.edu/~sjohnson*

**
OFFICE HOURS**: MW 7:15-8:45pm, T 2:30-3:30pm, Th 6:00-7:00pm by appointment all other times

**
COURSE DESCRIPTION**:

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.

**PREREQUISITES**:

MAT 2420, EGR 1010 and some knowledge of computer programming (EGR 1140 would be helpful; need to make this up if you don't have it).

**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.

Solve basic linear algebra systems. In particular show the ability to apply eigenvalues and eigenvectors.

Perform a rudimentary Fourier analysis.

Demonstrate an understanding of the numerical techniques to solve differential equations.

**REQUIRED TEXTBOOKS: **

*
Numerical Methods for Engineers 6^{th} Edition.* Chapra,Steven and Canale, Raymond.
McGraw-Hill. (2009/2010).

MATLAB DeMystified. McMahon, David. McGraw-Hill(2007).

**
RECOMMENDED BOOKS: **

**
Pocket Book for Technical Writing for Engineers and Scientists
**3^{rd} Edition** .** Finkelstein, Leo. McGraw-Hill
(2007).

**
OTHER REQUIRED COURSE MATERIALS: **

Pens, Pencils, Eraser, Straight edge, Paper, Textbooks, 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.

**
GRADING CRITERIA:**

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. All work is subject to re-grade if academic dishonesty is suspected. Turn work in on time.

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 when to use the 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. All work is subject to re-grade if academic dishonesty is suspected. You must turn this in on time, NO exceptions.

**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.

**COURSE
OUTLINE**

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 1

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.

**CLASSROOM
POLICIES**

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.

**IMPORTANT DATES**

First Day of classes |
Mon., August 31 |

Labor Day - College closed - No classes |
Sat.-Mon., September 5 - September 7 |

Last day to apply for fall graduation |
Tuesday, September 15 |

Last day to change from "audit to credit" or "credit to audit" for full-semester classes |
Friday, September 25 |

Midterm - middle of semester; class will speed up |
Wednesday, October 21 |

College Enrichment Day - No classes (for students) |
Tuesday, October 27 |

Last day to withdraw from full-semester classes |
Friday, November 20 |

Thanksgiving Break Start - No classes |
Wed., November 26 |

College closed - no classes |
Thurs.-Sun., November 26-29 |

Last Day of Classes |
Thursday, December 10 |

Final exam period/last week of classes |
Wednesday, December 16 (4:30pm) |

Open Registration begins (Engineers should register NOW) |
December 3 |

Winter Break - College closed |
Saturday - Sunday, December 19 - January 3 |

Registration begins (Engineers should have registered already...if you have not; do it NOW) |
Monday, January 4 |

Classes begin Spring 2010 |
Monday, January 25 |

**LAB INFORMATION **

Computer programming maybe done in class (CAT-305) on the portable PCs during designated time periods.