M371 - Alexiades
Review1: for Quiz 1
collect the material from notes and other resources,
do Lab1, Lab2 and PS1, PS2.
This material will also be on the Midterm and Final, so learn it !
Material:
floating point numbers and errors:
roundoff notes
Taylor expansion
Methods for finding roots (of nonlinear equations)
Methods:
For each Method should know: what it is for, idea, advantages/disadvantages
Taylor expansion, remainder, estimating error (know formulas)
nested form of polynomial for efficient evaluation
root finding methods:
- plotting
- bisection (also know basic algorithm)
- fixed point iteration (also know basic algorithm)
- Newton-Raphson (also know basic algorithm)
- secant (idea)