Catalog Data: ME 205 Computer Analysis in Engineering. (2,0) Applications of Undergraduate Mathematics and basic Engineering Principles with an emphasis on numerical methods and the use of mathematical software packages in the solution of engineering problems. Problems are drawn from dynamics, vibrations, kinematics, thermodynamicss, heat transfer, materials engineering, fluid mechanics and other engineering fields. Prerequisites: Engr 120, Mthsc 208 (or concurrent enrollment) Phys 122, ME Major.

Textbook: Chapra and Canale, Numerical Methods for Engineers, 4th Ed. McGraw Hill, 2002
Palm, Introduction to Matlab 6 for Engineers, Mc Graw Hill, 2001

Objectives:

1. To give the students experience with the application of computational techniques, computer programming, and computer software in the solution of engineering problems
2. To teach the student to use the computer as an engineering tool through instruction in the fundamental numerical methods

1. Taylor series, computational error
2. Roots of equations (zeros of functions
3. Matrix algebra
4. Linear algebraic equations: Gauss elimination, iterative methods
5. Interpolation
6. Numerical integration and differentiation
7. Numerical solution of ordinary differential equations - Runge Kutta and Euler's methods
8. Boundary value problems