Objectives:
1. derive the formula for Simpsons 3/8 rule of integration,
2. use Simpsons 3/8 rule it to solve integrals,
3. develop the formula for multiple-segment Simpsons 3/8 rule of integration,
4. use multiple-segment Simpsons 3/8 rule of integration

Multiple-Choice Test
Chapter 06.04
Non-Linear Regression
1.
When using the transformed data model to find the constants of the regression model
y aebx to best fit x1 , y1 , x2 , y2 ,., xn , yn , the sum of the square of the
residuals that is minimized is

Multiple-Choice Test
Chapter 05.04
Lagrange Method of Interpolation
1.
A unique polynomial of degree _ passes through n 1 data points.
(A) n 1
(B) n
(C) n or less
(D) n 1 or less
2.
Given the two points a, f a , b, f b , the linear Lagrange polynomial f1

Multiple Choice Test
Chapter 07.02
Trapezoidal Rule
1.
The two-segment trapezoidal rule of integration is exact for integrating at most
_ order polynomials.
(A) first
(B) second
(C) third
(D) fourth
2.2
2.
The value of
x
xe dx
by using the one-segment tr

Multiple-Choice Test
Secant Method
Chapter 03.05
1.
The secant method of finding roots of nonlinear equations falls under the category of
_ methods.
(A) bracketing
(B) graphical
(C) open
(D) random
2.
The secant method formula for finding the square root

Newtons Divided Difference Interpolation
Autar Kaw
After reading this chapter, you should be able to:
1. derive Newtons divided difference method of interpolation,
2. apply Newtons divided difference method of interpolation, and
3. apply Newtons divided d

Newton-Raphson Method of Solving a Nonlinear Equation
Autar Kaw
After reading this chapter, you should be able to:
1.
2.
3.
4.
derive the Newton-Raphson method formula,
develop the algorithm of the Newton-Raphson method,
use the Newton-Raphson method to s

Chapter 08.02
Eulers Method for Ordinary Differential Equations
After reading this chapter, you should be able to:
1.
2.
3.
4.
develop Eulers Method for solving ordinary differential equations,
determine how the step size affects the accuracy of a solutio

Objectives:
1. derive the secant method to solve for the roots of a nonlinear equation,
2. use the secant method to numerically solve a nonlinear equation.
Secant Method of Solving Nonlinear Equations
What is the secant method and why would I want to use

Secant Method of Solving Nonlinear Equations
Autar Kaw
After reading this chapter, you should be able to:
1. derive the secant method to solve for the roots of a nonlinear equation,
2. use the secant method to numerically solve a nonlinear equation.
What

Objectives:
1.
2.
3.
4.
5.
derive the trapezoidal rule of integration,
use the trapezoidal rule of integration to solve problems,
derive the multiple-segment trapezoidal rule of integration,
use the multiple-segment trapezoidal rule of integration to solv

Objectives:
1. To follow the algorithm of the false-position method of solving a nonlinear equation,
2. To apply the false-position method to find roots of a nonlinear equation.
False-Position Method of Solving a Nonlinear Equation
Introduction
In the bis

Objectives:
1. derive the formula for Simpsons 1/3 rule of integration,
2. use Simpsons 1/3 rule it to solve integrals,
3. develop the formula for multiple-segment Simpsons 1/3 rule of integration,
4. use multiple-segment Simpsons 1/3 rule of integration

Multiple-Choice Test
Chapter 05.03
Newtons Divided Difference Polynomial Method
1.
If a polynomial of degree n has n 1 zeros, then the polynomial is
(A) oscillatory
(B) zero everywhere
(C) quadratic
(D) not defined
2.
The following x, y data is given.
x 1