Computational Methods - Exam I
06-606
2/25/97
This 90 minute exam consists of five unequally weighted parts. Please budget your time
carefully. You may consult your class notes, textbooks and homework sets to solve these
problems.
1.
Algebraic Equation So

06-606
Computational Methods
1.
Construct the L/U algorithm using the Crout decomposition, using the same
notation as in class.
2.
For the following system of linear equations
a) Solve using Gauss elimination
b) Develop the LU factors and calculate the de

Computational Methods - Exam II
06-606
3/18/93
This 90 minute exam consists of four unequally weighted parts. Please budget
your time carefully. You may consult your class notes, textbooks and
homework sets to solve these problems.
1. Consider the binary

06-606
Computational Methods
Assignment #2
1. Given the system of equations
f1 = 2x2 + x2 - 6 = 0
1
2
f2 = x1 + 2x2 - 3. 5 = 0
a. Solve with Newton's method (unit step size) using as a starting point
x1 = 2. 0, x2 = 1. 0
b. Using as a starting point x1 =

06-606
Computational Methods
Fall, 2011
Due: 11/9/11
1. For = 4 , and for = 100 solve the problem presented in class:
u' - u = 4 t2 - 2
u'(0) = 0, u(1) = 0
a) analytically
b) using finite differences with h = 0.1
c) using 2 pt. Collocation
d) single shoot

06-606
Computational Methods
Fall, 2011
Due: 11/2/11
1. The reaction A ! B takes place at steady state in two CSTR reactors in series as shown
below in the figure. Obtain the concentrations CA0 and CA1 as a function of time given that
the outlet concentra