### MATH 3241 / EECS 3121 Numerical Methods I:
Test1 Topics

For test 1, you should be familiar with most of the material in the
following sections of "Numerica Analysis"

(10th ed.)
by Burden, et al.
Section 1.1 Review of Calculus and Taylor's Theorem

Section 1.2 Round-off Errors and Computer Arithmetic

Section 1.3 Convergence and Algorithm

Section 2.1 The Bisection Method

Section 2.2 Fixed-Point Iteration

Section 2.3 The Newton-Raphson Method

Section 2.4 Error Analysis for Iterative Methods

Here are some topics you should be familiar with:
- Taylor's Theorem
- Intermediate Value Theorem
- Floating Point Number System
- Rounding
- Chopping
- Absolute Error
- Relative Error
- Significant Digits
- Rate of Convergence
- Bisection Method
- Fixed Point Iteration
- Fixed Point Theorem
- Newton's Method
- Secant Method
- Order of Convergence