EGN 3420 (Engineering Analysis)

EGN 3420 3(3,0)
Engineering Analysis: PR: High level language or equivalent (C preferred) and MAC 2312.  Engineering analysis and computation using MATLAB; engineering applications of numerical methods including curve fitting, matrix operations, root finding, integration and plotting. <Home>

EGN 3420 ENGINEERING ANALYSIS

Instructor: Dr. Harold Klee, Room 251, Phone # 823-2270, email:klee@mail.ucf.edu
Text: Applied Numerical Methods for Engineers Using MATLAB and C by Robert Schilling and Sandra Harris
Third Edition, McGraw-Hill, 1998

ISBN 0-07-047328-5

References:

1. Mastering MATLAB 6 by Duane Hanselman and Bruce Littlefield, Prentice-Hall, 2001
2. Introduction To MATLAB For Engineers by William J. Palm, McGraw-Hill, 1998
3. Introduction to MATLAB for Engineers by William J. Palm III, McGraw-Hill, 1998
4. Getting Started with MATLAB 5 by Rudra Pratap, Oxford University Press, 1999
5. MATLAB Programming for Engineers by Stephan J. Chapman, Brooks/Cole, 2000
6. Introduction to MATLAB for Scientists and Engineers by Delores M. Etter, Prentice-Hall, 1996

Course Objectives:

1. Introduce mathematical methods that practicing engineers apply in the solution of engineering problems.
2. Illustrate the application of these concepts by the use of examples from various engineering disciplines.
3. Integrate MATLAB and the computer into the problem-solving process.

TOPICS	SECTION
PART ONE:TAYLOR SERIES
Truncation Errors	Notes
The Exponential Function	Notes
True and Approximate Errors	Notes
Project 1 - Taylor Series Expansion of cos(x) About Several Points
PART TWO:ROOT FINDING
Motivation and Objectives	5.1
Graphical Methods	Notes
Bracketing Methods:The Bisection Method	5.2.1
Bracketing Methods:The False Position Method	5.2.2
Newton's Method	5.6
Simple One Point Iteration	Notes
Project 2 - Finding the Interest Rate on a Loan
PART THREE:LINEAR ALGEBRAIC SYSTEMS
Motivation and Objectives	2.1
Gauss-Jordan Elimination	2.2
Gaussian Elimination	2.3
Jacobi's Method	2.6.1
Gauss-Seidel	2.6.2
Echelon Form	Notes
Arbitrary Unknowns	Notes
Project 3 - Matrix Inversion Using Cofactors
PART FOUR:CURVE FITTING
Motivation and Objectives	4.1
Interpolating:Piecewise Linear Interpolation	4.2.1
Interpolating:Polynomial Interpolation	4.2.2
Interpolating:Lagrange Interpolation Polynomials	4.2.3
Newton's Difference Formula	4.3
Project 4 - Interpolation of Vehicle Stopping Distance by Newton Divided Difference Polynomials
Cubic Splines	4.4
Least Squares:Straight Line Fit	4.5.1
Least Squares:Polynomial Fit	4.5.2
Linear Regression for Linearization of Nonlinear Relationships	Notes
Project 5 - Interpolation of Vehicle Stopping Distance by Least Squares Regression
PART FIVE:DIFFERENTIATION AND INTEGRATION
Motivation and Objectives	7.1
Newton-Cotes Integration Formulas:Trapezoid Rule	7.4.1
Newton-Cotes Integration Formulas:Simpson's Rules	7.4.2
Romberg Integration	7.5
Gauss Quadrature:Legendre Polynomials	7.6.1

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Your overall average is computed as follows:

Ave = 0.5*(Sum of 4 highest project grades) + 0.2*(Low exam) + 0.25*(High exam) + 0.35*(Final)

Homework consists of problems from past exams on RESERVE at front desk in Library. To help you find problems related to specific topics, use the following table as a guide. Do as many problems as you feel necessary. Homework will not be collected. You can check your answers by coming to my office and looking at the solutions. Please do not remove any pages from the materials on RESERVE.

The class projects are designed to test your knowledge of the material covered in class and your ability to write a MATLAB program. The current projects are viewable from this page.

Class notes of selected topics are available for viewing. Acrobat 4.0 Reader is required.

Revised:Jan 5,2000
URL: http://pegasus.cc.ucf.edu/~klee/