MATHEMATICAL METHOD FOR NUCLEAR ENGINEERING AND RADIATION
NE 333

Spring 2014
Stewart, Shalyndria
NE 333
HW 2
Problem 1 1/1
1. 10 points) Given the following matrices, indicate whether the specified operation is undefined. If the
operation can be performed (i.e., it is not undefined) then perform the indicated operation and show
yo
MATHEMATICAL METHOD FOR NUCLEAR ENGINEERING AND RADIATION
NE 333

Spring 2014
Stewart, Shalyndria
NE 333
HW 3
1. (15 points) Given the following function:
Problem 1
1/1
Write a MATLAB code to solve a fixedpointiteration to locate the largest positive root. Use a starting
guess of x=1.5, a tuning parameter of 0.05 and a convergen
MATHEMATICAL METHOD FOR NUCLEAR ENGINEERING AND RADIATION
NE 333

Spring 2014
1. (15 points) The neutron population N(t) in a reactor operating at low power with an installed
source of strength
S
is governed by the equation:
dN (t ) (k 1)
N (t ) S
dt
l
where k is the multiplication factor and l is the neutron lifetime.
Part a (10 p
MATHEMATICAL METHOD FOR NUCLEAR ENGINEERING AND RADIATION
NE 333

Spring 2014
NE333, Homework #4
Due Friday, May 6
Background Information
Reactivity is a measure of how far a reactor deviates from criticality. Given a multiplication
factor
, the reactivity can be calculated as
. If the reactor is exactly
keff
keff keff 1
keff
keff
MATHEMATICAL METHOD FOR NUCLEAR ENGINEERING AND RADIATION
NE 333

Spring 2014
Stewart, Shalyndria
NE 333
HW 1
Problem 1 1/1
1. (15 points) Given the following data, find the best fit (i.e., find () for the given constraints:
a. Use () = with best fit defined as minimization of the residual equal to the sum of the
vertical distances