38
2
First-Order Linear
Difference Equations
2.1
Aims
In this chapter we focus on solving
first-order difference equations of the
form
xn axn1 = b(n) ,
n 1.
(2.1)
In equation (2.1) a is a constant, b(
I
University of Wollongong
School of Mathematics and Applied Statistics
MATH 111 Applied Mathematical
Modelling I (Wollongong Campus)
Spring Session Examination 2003
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MATH 111 Applied Mathematical Modelling I
Spring Session 2004
Mid-Session Test
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Instructions
Time Allowed: 90 minutes
Number of questions: 7.
1. Each question is to be
University of Wollongong
School of Mathematics and Applied Statistics
MATH 111 Applied Mathematical
Modelling I (Wollongong Campus)
Spring Session Examination 2006
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Hints for studying for the final exam
In order of importance (though you should really be doing all of these nearly simultaneously!)
I recommend.
1. Work your way through the tutorial sheets. Many
University of Wollongong
School of Mathematics and Applied Statistics
MATH 111 Applied Mathematical
Modelling I (Wollongong Campus)
Spring Session Examination 2004
Family Name 57 0 L.)/ T\ (3 M
\' Fir
School of Mathematics & Applied Statistics
MATH111: Applied Mathematical Modelling
Maple Tutorial Week 6 & 7 Spring 2017
Instructions
You should work you way through this tutorial sheet, answering que
MATH 111 Applied Mathematical Modelling I
Spring Session 2003
Mid-Session Test
Student Name: M AQ NELQO/V Student Number:
Instructions
Time Allowed: 90 minutes
a All questions should be attempted.
0 W
University of Wollongong
School of Mathematics and Applied Statistics
MATH 111 Applied Mathematical
Modelling I (Wollongong Campus)
Spring Session Examination 2004
Family Name
First Name
Student Numbe
1
MATH 111 Applied Mathematical Modelling I
Spring Session 2003
Mid-Session Test
Student Number :
Student Name:
Instructions
Time Allowed: 90 minutes
Number of questions: 7.
1. Each question is to be
1
1
Introduction,
Definitions and
Basic Concepts
1.1
Aims
After working through this chapter you
will be able to:
1. recognise difference equations and
have an appreciation of circumstances when they
3.1
Applications of First-Order Difference
Equations: Finance
Aims
In this chapter we will derive first-order difference equations for
some common financial problems. We will do this by applying
the p
First Order Difference Equations: Concluding Thoughts
7
7.1
First Order Difference
Eqs : Concluding
Thoughts
Revision of key ideas
In chapters 16 we have encountered a
variety of ideas relating to the
First-Order Differential Equations
9
First-Order
Differential
Equations
9.1
Aims
In this chapter we focus on solving
first-order differential equations. We can
write a first-order differential equatio
153
5
Linear Stability
Analysis of
Fixed-Points
5.1
Aims
After working through this chapter
you will
1. Be able to explain the importance of the concept of stability
when discussing fixed points.
2. U
Applications of First-Order DEs: Lake Pollution
10
Applications of
First-Order
Differential
Equations: Lake
Pollution
10.1
Aims
In this chapter we apply the techniques
that we learnt in chapter 9 to a
179
Harvesting
6
6.1
Harvesting
Introduction
Consider an animal species that is
harvested or hunted, e.g. deer, fish or
rabbits. In this chapter, we study two
harvesting, or hunting, strategies for
th
Differential Equations: Introduction. . .
8
Differential Equations:
Introduction, Definitions
and Basic Concepts
8.1
Aims
After working through this chapter
you will be able to:
1. recognise DEs and h
MATH 111 Applied Mathematical Modelling I
Spring Session 2004
Mid-Session Test
Student Name: M 9 R K N E'LSO/V Student Number:
Instructions
Time Allowed: 90 minutes
c There are 9 questions of diff