SIE 476 - Numerical Analysis

SIE - 476/576 (3) An intermediate-level introduction to numerical methods and error analysis for function approximation and interpolation, integration, solution of linear and nonlinear equations, and differential equations. 3ES. P, MATH 254, computer programming experience. Graduate-level requirements include extra reading assignments and more sophisticated programming assignments. P, ENGR 102.

An Introduction to Numerical Computations, by S. Yakowitz an F. Szidarovszky

References: None

S. Yakowitz, Professor of Systems and Industrial Engineering

1. Ability to code in a high level language
2. Differential equations
3. Linear equations
4. Circuit theory

None

To sharpen computational and data analysis skills and understand how computers are used in sophisticated engineering settings.

1. The sources and effects of numerical error
2. How computers evaluate functions and solve equations

1. Introduction to Matlab (4 hours)
2. Linear and Nonlinear Equations (8)
3. Function Interpolation, Integration and Approximation (8)
4. Ordinary Differential Equations (6)
5. Projects, Topics (as time allows)

Class Requirements:

1. Two midterms (20% each)
2. Approximately 3 homework assignments (10%)
3. Project (20%)
4. Final (30 %)

Homework assignments on each topic include programming

Laboratory Projects: None

1. Project
2. Class examination
3. Homework

Contribution to program objectives: Goals 1, 4

Prepared by: S. Yakowitz   Date: April 14, 1998