Course Content

• Floating point number systems, or Why do we worry about Numerical Analysis?
• Numerical root-finding, or How do we solve cos(x)=x ?
• Systems of linear equations using Gaussian Elimination and decomposition methods
• Interpolation and curve fitting, or If it looks like a parabola, it might be a cubic!
• Numerical integration

Learning Objectives

By the end of this course, you should be able to

• Understand and explain what a “floating point number system” is
• Identify root finding algorithms, and state the properties of basic algorithms, and when they can be used.
• Outline the algorithm for Gaussian Elimination.
• Know the different types of curve fitting - Lagrange polynomial interpolation, splines.
• Know several numerical integration techniques.