Introduction to Numerical Methods (Math 465/565)

Boise State University, Dept. of Mathematics

Textbook : A Friendly Introduction to Linear Algebra (Brian Bradie)

Semesters Taught : Fa13, Fa20, Fa21

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.