Scientific Computing

Instructor

• Dr. Brian Moore
  Office: Math and Physics 202B
  Telephone: 407-823-2754
  E-mail: bmoore@math.ucf.edu
  Office Hours: MW 2:00-3:30, Th 2:00-3:00
  

General Information

• Syllabus
• Guidelines for Computer Projects
• Homework assignments

Working with MATLAB

• The Matlab installation disk is available. Please let me know, if you need to install Matlab on your computer.
• Matlab lecture
• Matlab GUIs
• Matlab Worksheet for Computer Arithmetic
• Matlab Worksheet for Interpolation
• Example computer project

MATLAB Tutorials

• Crash Course in MATLAB, by Tobin Driscoll, University of Delaware
• Matlab tutorial - University of New Hampshire
• Matlab tutorial - University of British Columbia
• Matlab tutorial - University of Florida

Extra Lecture Notes for Numerical Analysis

Thanks to Professor Atkinson at The University of Iowa

• Chapter 1: Mathematical Preliminaries
  
  • Taylor Approximation
  • Error in Taylor Polynomials
  • Evaluating Polynomials
• Chapter 2: Computer Arithmetic
  
  • Floating Point Numbers
  • Error and Loss of Significance
  • Propagation Error
• Chapter 3: Solution of Nonlinear Equations
  
  • Bisection Method
  • Newton's Method
  • Secant Method
  • Fixed Point Iteration
  • Multiple Roots and Stability
• Chapter 6: Approximating Functions
  
  • Polynomial Interpolation
  • Interpolation Error
  • Piecewise Polynomials and Splines
  • Best Approximation
  • Chebyshev Polynomials
• Chapter 7: Numerical Integration
  
  • Trapezoid and Simpson's Rules
  • Error in Numerical Integration
  • Gaussian Quadrature