ETF2700/ETF5970 Mathematics for Business
WEEK 04 Tutorial Exercises
(Week 03 lecture content)
Tutorials deal with only a SAMPLE of the units content. You are expected to do all of the
relevant readings and exercises as outlined in the Weekly Schedule.
If

ETF2700 / ETF5970
Mathematics for Business
Week 6
Topic 5
FUNCTIONS OF SEVERAL VARIABLES
Partial Differentiation
Optimisation
Partial Differentiation
functions of 2 or more variables, isoquants.
1st and 2nd order partial derivatives.
differentials.
produc

Mitchell Moon
ETF2700
Student ID: 25190792
Question 1)
a. Investment A which compounds each year will earn more money after a year compared to the
simple interest account. The reason for this is because the simple interest account only pays
interest on th

ETF2700/ETF5970 MATHEMATICS FOR BUSINESS
Semester 2 2015
Assignment 3 Solutions
Total: 30 + 18 + 14 + 16 + 18 + 16 = 112 marks
FEEDBACK FOR THIS ASSIGNMENT is provided by
these very detailed solutions (in many parts, much more detailed than you needed to

FACULTY OF BUSINESS AND ECONOMICS
ASSIGNMENT COVER SHEET
Students name
(Family name BLOCK LETTERS)
(Given names)
Wing Yuet
Kwok
ID number
27157466
Phone
0401643731
Unit name
Mathematics for Business
Unit code
ETF2700
Monash email
Wykwo10
Title of assignme

Tutorials begin
in Week 1.
Unit Code:
Unit Name:
ETF2700/ETF5970
Mathematics for Business
Semester 2 2016
Unit Guide
Department
of
Econometrics and Business Statistics
The information contained in this unit guide is correct at the time of publication. The

ETF2700/ETF5970 Mathematics for Business
WEEK 07 Tutorial Exercises
(Week 06 lecture content)
QUESTION 1
Determine the first and second partial derivatives of the following. Show your working.
(a)
G = x3 + 3y2
(b)
H = x2y3 + 5xy2
(c)
R = 100L0.6K0.4
QUEST

A5.1
(a).
1.
2.
3.
4.
5.
6.
P (Z < -0.443) = 0.33
P (Z <1.522) = 0.94
P (Z > - 1.944) = 0.97
P (0 < Z < 1.282) =0.4
P (1.522< Z <1.958) =0.92
P (-1< Z <1.282) =0.74
1.
2.
3.
4.
5.
6.
P (Z<z0)=0.5 z0 =0
P (Z<z0)=0.895 z0 =1.25
P(Z<z0)=0.054 z0 = -1.6
P(Z>z

ETF2700/ETF5970 Mathematics for Business
WEEK 02 Tutorial Exercises - SOLUTIONS
(Week 01 lecture content)
QUESTION 1
TB4 Progress Exercises 1.1: p8 #26
Find the least common denominator.
Build each fraction so that the denominators are all same (5x).
R

ETF2700/ETF5970 MATHEMATICS for BUSINESS
WEEKLY SCHEDULE Semester 2 2016
Prescribed textbooks (essential reading)
Bradley, T. (TB4) Essential Mathematics for Economics and Business,
Fourth edition. John Wiley, 2013. ISBN 978-1-118-35829-0.
TB4 is availabl

ETF2700/ETF9700 Mathematics for Business
WEEK 04 Tutorial Exercises
(Week 03 lecture content)
QUESTION 1
TB4 Progress Exercises 2.3: p68, #4, #5.
4.
P = 500 + 2Q
(a)
Vertical intercept: when Q = 0, P = $500.
Below a price of $500, no wine will be supplied

ETF2700/ETF5970 Mathematics for Business
WEEK 09 Tutorial Exercises - SOLUTIONS
(Week 08 lecture content)
1. Range Names
Matrix M
M23 = 2: the element in the 2nd row, 3rd column.
eg,
2. Null and Identity Matrices
N3
I3
3. Basic Calculations
1
2
4. Applica

ETF2700 / ETF5970
Mathematics for Business
Week 6
Topic 5
FUNCTIONS OF SEVERAL VARIABLES
Partial Differentiation
Optimisation
Partial Differentiation
functions of 2 or more variables, isoquants.
1st and 2nd order partial derivatives.
differentials.
produc

ETF2700 / ETF5970
Mathematics for Business
Week 10
Topic 8
FINANCIAL MATHEMATICS I
The only way to learn mathematics is to do mathematics.
Paul Halmos
8. Financial Mathematics I
Sequences and series
arithmetic
geometric.
Interest
simple
compound
cont

ETF2700 / ETF5970
Mathematics for Business
Week 7
TOPIC 6
Integration
Lagrange from last week.
Do not worry about your difficulties in Mathematics.
I can assure you mine are still greater.
Albert Einstein
Integration
Integration
The Power Rule.
power f

ETF2700 / ETF5970
Mathematics for Business
Week 3
Topic 3
Straight line & applications
Non-linear functions
Life is good for only two things:
discovering mathematics and teaching mathematics.
Simeon Poisson 1781-1840
3. Straight line & applications, non-l

ETF2700 / ETF5970
Mathematics for Business
Week 11
Topic 8
FINANCIAL MATHEMATICS II
Errata file for Mc
Lean & Stephens
is in the
Week 10 section
of Moodle: Errata
AMc-BS.docx.
The man ignorant of Mathematics will be increasingly limited in his
grasp of th

ETF2700 / ETF5970
Mathematics for Business
Week 1
Topic 1
Preliminaries
rth !
o
f
Go ultiply
m
d
n
a
What happened to the unicorn?
1. Preliminaries
Word problems
http:/en.wikipedia.org/wiki/String_girdling_Earth
A string of length C km is wrapped around t

ETF2700 / ETF5970
Mathematics for Business
Week 5
Topic 5
Differentiation
5. Differentiation and applications
Slope, power rule, higher order derivatives.
Applications: marginal functions, average functions.
Functions of 1 variable:
turning points, 2nd

ETF2700 / ETF5970
Mathematics for Business
Week 9
Topic 7
Matrix Algebra II
There are known knowns. These are things we know that we know.
There are known unknowns. That is to say, there are things that we know we dont know.
But there are also unknown unk

ETF2700 / ETF5970
Mathematics for Business
Week 2
Topic 2
Excel, including Pivot Tables
If you think dogs can't count, try putting 3 dog biscuits in your pocket
and then giving Fido only 2 of them.
Phil Pastoret
2. Excel functions
Pivot tables
VLOOKUP

ETF2700/ETF5970 Mathematics for Business
WEEK 10 Tutorial Exercises
(Week 09 lecture content)
Tutorials deal with only a SAMPLE of the units content. You are expected to do all of the
relevant readings and exercises as outlined in the Weekly Schedule.
If

ETF2700/ETF5970 Mathematics for Business
WEEK 01 Tutorial Exercises
GENERAL
Tutorials lag the lecture material by one week (the Week 2 tutorial relates to the Week 1 lecture
content, and so on). So, it doesnt matter if your weeks timetable has your tutori

ETF2700 / ETF5970
Mathematics for Business
Week 8
Topic 7
Matrix Algebra I
It is my experience that proofs involving matrices can be shortened
by 50% if one throws the matrices out.
E. Artin
5. Matrix Algebra I
Scalar, vector, matrix.
Dimensions of a matr

ETF2700/ETF5970 Mathematics for Business
WEEK 10 Tutorial Exercises - SOLUTIONS
(Week 09 lecture content)
QUESTION 1
(a)
(i)
p = r.
(ii)
mq
(b)
(i)
r=n=q
(ii)
mp
(c)
(i)
r = n, p = q
(ii)
mq
QUESTION 2
Rank: the order of the largest square sub-matrix whos

ETF2700/ETF5970 Mathematics for Business
WEEK 04 Tutorial Exercises
(Week 03 lecture content)
Tutorials deal with only a SAMPLE of the units content. You are expected to do all of the
relevant readings and exercises as outlined in the Weekly Schedule.
If

ETF2700/ETF5970 Mathematics for Business
WEEK 09 Tutorial Exercises
(Week 08 lecture content)
1. Range Names
Open a blank Excel file and, into cells
A1:C2, enter the following matrix.
Select the cells A1:C2 and, at the top of the screen, select FORMULAS/N