Introduction to Numerical Analysis for Engineering
MECHANICAL 2.993J

Spring 2005
Amendment to Problem Set 4
The previous equation has been changed to
be:
1
0 x1
1
e
1
x
= e
2
1
e
1
2 e
x
e
3
1.
=
0
1
0
x1
1
1
1 1 1 x = 1
2
1
2 1
x3
1
x1 =
3
x2 = 2
x3 = 6
=
1
0
x1
1
0
1 0 1 x = 0
2
Introduction to Numerical Analysis for Engineering
MECHANICAL 2.993J

Spring 2005
13.002J/10.002J Introduction to Numerical Analysis for Engineers
Problem Set 1
Issued: February 3, 2005
Due: February 10, 2005
Do the following problems from Mathews and Fink:
1.2.4 (a) and (b) (on page 23)
1.2.5 (a) and (b)
1.2.13 (b) (on page 24)
1.
Introduction to Numerical Analysis for Engineering
MECHANICAL 2.993J

Spring 2005
Issued: February 3rd, 2005
13.002 Introduction to Numerical Methods for Engineers
Inclass programming exercises
1. Let a be a positive real number, and let the sequence of real numbers xi be given by
x0 = 1,
xi+1 =
a
1
(xi + ),
2
xi
for i = 0, 1, 2, 3,
Introduction to Numerical Analysis for Engineering
MECHANICAL 2.993J

Spring 2005
Introduction to Numerical Analysis for Engineers
Mathews
Ordinary Differential Equations
Initial Value Problems
Eulers Method Taylor Series Methods
Error analysis
9
9.1
9.2 9.4 9.5
RungeKutta Methods
Systems of differential equations Boundary Value
Introduction to Numerical Analysis for Engineering
MECHANICAL 2.993J

Spring 2005
Introduction to Numerical Analysis for Engineers
Mathews
Ordinary Differential Equations
Initial Value Problems
Eulers Method
Taylor Series Methods
9
9.1
9.2
9.4
Error analysis
RungeKutta Methods
9.5
Systems of differential equations
Boundary Val