**M371 - Alexiades**

** Review for Quiz 1 **

* collect the material from your notes
and other resources
*

This material will also be on the Midterm and Final, so learn it !

**Material**:
floating point numbers and errors:
roundoff notes,
Kaw book chap.1
Taylor expansion
Methods for finding roots (of nonlinear equations):
Kaw book chap.3

**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 algorithm)

- fixed point iteration (also know algorithm)

- Newton-Raphson (also know algorithm)

- secant (idea)

- inverse quadratic interpolation (just that there is such...)