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Pagc 1 uP lj
MA305 Midterm Test.
Student Number: 060ELJSj6G
( 1 mark) 1. (a) If the global error of a numerical rncthud is O ( h 3 ) then what is expectcd of thc maxi~rlum
error in an approximat ion i f the step size h is reduccd h y half?
?
I
dy
dx
(3
Math 305 Differential Equations II - Assignment 1
Due in class on Wednesday, October 5, 2016
You are permitted to use a computer to assist with the calculations for this assignment.
However, it is strongly recommended that you ensure that you learn how to
Math 305 Differential Equations II - Assignment 2
Due in class on Wednesday, November 2, 2016
You are permitted to use a computer to assist with the calculations for this assignment.
However, it is strongly recommended that you ensure that you learn how t
Math 305 Differential Equations II
Practise Problems for Linear Difference Equations
1. (#3 on Assignment 1) Consider the difference equation
where
~x(n + 1) = L ~x(n),
2
4 3
1
0 0
L = 0.3
and
~x(0) = 1
0 0.4 0
1
a. Calculate ~x(1), ~x(2) and ~x(3).
b.