Subject: Math 32A- NUMERICAL METHODS AND ANALYSIS
Algorithm and their complexity
The growth of functions
Analysis of errors in numerical calculations
Roots of algebraic and transcendental equations
Introduction
Numerical analysis is the study of algorithms that use numerical
approximation (as opposed to symbolic manipulations) for the problems of
mathematical analysis (as distinguished from discrete mathematics), Error is the
difference between the actual (true) value of a quantity and the computed
(approximate) value.
Learning Outcome
1.
2.
3.
4.
Recognizing the different numerical errors
Understanding the use of algorithms in solving numerical problems
Knowing how to solve the errors in numerical problems
Solve roots of an equation using Bracketing method
Learning Content
1. ERROR:
2. Bracket Method
a. Graphical Method
b. Bisection Method
3. False Position Method
ACTIVITY:
REFERENCES:
Microsoft PowerPoint - NM2012S-Lecture06-Roots-Open Methods.ppt [相容模式] (ntnu.edu.tw)
Applied Numerical Methods with MATLAB for Engineers, Chapter 6 & Teaching material
NUMERICAL METHODS DESIGN, ANALYSIS, AND COMPUTER IMPLEMENTATION OF ALGORITHMS ANNE
GREENBAUM TIMOTHY P. CHARTIER