Lecture 30:
Maxima and Minima of Functions of Two Variables
Reading for this lecture
HPW, Chapter 17, Section 17.6.
Homework for Tutorial in Week 12
Exercise 17.6, pp. 775-777, problem 1.
f(x,y) = x2
Lecture 31:
Maxima and Minima of Functions of Two Variables
Reading for this lecture
HPW, Chapter 17, Section 17.6.
Homework for Tutorial in Week 12
Exercise 17.6, pp. 775-777, problem 21.
P = f(L,K)
Lecture 32:
Constrained Optimization
Reading for this lecture
HPW, Chapter 17, Section 17.7.
Homework for Tutorial in Week 12
Ex 17.7, pp. 783-784, problem 1.
Given f(x,y) = x2 + 4y2 + 6;
2x 8y = 20
(
Lecture 33 (part 2 of tutorial questions):
Constrained Optimization (2)
Ex 17.7, pp. 783-784, problem 17.
a) First we find critical point(s) using the Lagrange multiplier
method. This was done in the
Lecture 3:
Compounding and Discounting
Reading for this lecture
HPW, Chapter 5, Sections 5.1, 5.2.
Homework for Tutorial in Week 3
Exercise 5.1, page 212-213 problem 1.
S = P(1 + r)n
where
P = $6,000
Lecture 28: Applications of Partial Derivatives
Reading for this lecture
HPW, Chapter 17, Section 17.2.
Homework for Tutorial in Week 11
Exercise 17.2, pages 758-760, problem 1.
Given c = 7 x + 0.3 y
Lecture 24:
Differentials
Reading for this lecture
HPW, Section 14.1.
Homework for Tutorial in Week 9
Exercise 14.1, pages 630-1, problem 1.
Given
Exercise 14.1, pages 630-1, problem 7.
Given p = ln(x
Lecture 13:
The Derivative
Reading for this lecture
HPW, Chapter 11, Section 11.1.
Homework for Tutorial in Week 5
Exercise 11.1, page 499-500, problem 1.
Given
f(x) = x3 + 3
P= (x1,y1) = (-2, -5)
Poi
Lecture 10:
Matrix Inverses
Reading for this lecture
HPW Chapter 6, Section 6.6.
Homework for Tutorial in Week 5
Exercise 6.6 problem 21.
6x + 5y = 2
x + y = -3
6
in matrix form is
1
6
We have to fin
Lecture 23:
Applied Maxima and Minima
Reading for this lecture
HPW, section 13.6.
Homework for Tutorial in Week 9
Exercise 13.6, pages 616-620, problem 3.
Let x be the length of fencing parallel to th
Lecture 22:
Second-Derivative Test
Reading for this lecture
HPW, Chapter 13, Section 13.4 &13.5.
Homework for Tutorial in Week 9
Exercise 13.4, page 599, problem 1.
Given y = x 2 - 5x + 6.
dy = 2x - 5
Lecture 26:
Multivariable Calculus: Functions of Several Variables
Reading for this lecture
HPW, Chapter 2, Section 2.8.
Homework for Tutorial in Week 10 / Week 11
Exercise 2.8, p122, problem 1.
Given
ECON222: Mathematics for
Business Spring 2016
Preliminaries
Subject website
Lecturers and tutors details
Course map
Textbook
Assumed knowledge
Tutorials
Assessments
1
Subject website
Navigate t
Course Map
Mathematics
of finance
compound interest
present value
annuities
loans /amortization
Curve sketching
local extrema
global extrema
concavity
2nd derivative test
asymptotes
Introduct
ECON222 Lecture 10 (week 4):
Topic: Matrices
Outline
Solving systems of linear equations using the inverse
Finding the inverse of a matrix
Reading for this lecture
HPW Ch 6, Sect 6.6.
Homework for T
Formulae
Compound interest formula
=
S P(1 + r ) n
Present value
=
P S (1 + r ) n
Effective Rate of Interest
m
r
re =
1 + 1
m
Present value of an ordinary annuity
A=
R[1 (1 + r ) n ]
r
Present value
Faculty of Business
School of Accounting Economics and Finance
Student to complete:
Family name
Other names
Student number
Table number
ECON222
Mathematics for Business
Wollongong
Sample Final Examina
ECON222 Lecture 10 (week 4):
Topic: Matrices
Outline
Solving systems of linear equations using the inverse
Finding the inverse of a matrix
Reading for this lecture
HPW Ch 6, Sect 6.6.
Homework for T
In-Session Test Details
Date:
Time:
Room:
Weight: 40%
Bring writing instruments, eraser and UOW
approved calculator only.
You will be given a formulae sheet (back of
exam paper)
See the subject outlin
Sud. 6:7 - Duelmh'IIlrili _ Elli!
44. Investing The investors in Problem 43 decide to try a company Ii, and they have :I mil nl |-l_.'."'.' Hum-Ill Ilm
new investment strategy with the same companiesT
School of Accounting, Economics and
Finance
ECON222: Mathematics for Business
Subject Outline
6 credit points
Subject Information
Autumn, 2017
Wollongong
On Campus
Lecture Information:
Mondays, 10:30