ENGR 250 - Applied Numerical Methods

5 Credits

Numerical solutions to problems in engineering and science using modern scientific computing tools. Application of mathematical judgment in selecting computational algorithms and communicating results. Introduction to MATLAB programming for numerical computation.

Pre-requisite(s) MATH 230
FeesCF

Quarters Typically Offered

Designed to Serve This class is designed for students in the Associate of Science in Engineering (AS-Eng) program.
Active Date 2012-05-03

Grading System Decimal Grade
Class Limit 30
Contact Hours: Lecture 55 Lab 0 Worksite 0 Clinical 0 Other 0
Total Contact Hours 55
Degree Distributions:
Course Outline
(1) Program Algorithms and Architecture; Matlab Introduction (2) Linear Systems (3) Curve Fitting, Interpolation, Splines (4) Numerical Differentiation and Integration (5) Differential Equations (6) Transforms and Spectral Analysis (7) Partial Differential Equations (8) Visualization

Student Learning Outcomes
Write and document effective MATLAB scripts involving logical and iterative flow control and file input and output.

Utilize the vector/matrix paradigm underlying MATLAB to write efficient commands to manipulate data and implement numerical solution algorithms.

Produce effective plots of numerical data using MATLAB’s various data visualization functions.

Explain the consequences of finite precision and the inherent limits of the numerical methods considered.

Select appropriate numerical methods to apply to various types of problems in engineering and science in consideration of the mathematical operations involved, accuracy requirements, and available computational resources.

Demonstrate an understanding of the mathematics concepts underlying the numerical methods considered

Demonstrate understanding and implementation of numerical solution algorithms applied to the following classes of problems: a. Finding roots of equations b. Solving systems of algebraic equations c. Curve fitting d. Interpolation e. Numerical differentiation of data and functions f. Numerical integration of data and functions g. Solutions of ordinary differential equations including. . initial value problems,boundary value problems and systems of equations