Example: Printers and PCs
Intermediate Econometrics II/IID
Nadezhda V. Baryshnikova
A retail computer store sells computers as well as printers. The number
of computers and printers sold varies from day to day, but the store
manager obtained the sales his
Introduction to Financial Mathematics
Functions and Annuities
Lecture 4
Polynomials, Power Functions and Rational Functions
References: Harshbarger & Reynolds: Ch. 2.4.
Example 4.1 Graph the functions
1. y = x3 ;
2. y = x4 + 2x3 + 4;
3. y = 3x for x 0;
4.
Introduction to Financial Mathematics Semester 1, 2017
Assignment 1 Functions
To be handed in by 2pm, Tuesday 14th of March
Examples:
A. Find (f + g)(x), (f g)(x), f (g(x) and g(f (x) where f (x) = x + 2 and
g(x) = x2 + 1.
B. The number of women in the wo
Introduction to Financial Mathematics
Functions and Annuities
Lecture 1
Definition of Functions, Linear Functions
References: Harshbarger & Reynolds: Ch. 1.1, 1.2.
Why study functions?
Functions are a fundamentally important part of mathematics and arise
Introduction to Financial Mathematics Semester 1, 2017
Assignment 2 Functions
To be computer entered between:
9am Friday 17th March and 5pm Monday 20th March
Examples:
A. Draw the graph of y = (x 3)2 4. Rewrite y in the form y = ax2 + bx + c
and find the
Introduction to Financial Mathematics
Functions and Annuities
Lecture 2
More Functions and Operations with Functions
References: Harshbarger & Reynolds: Ch. 1.2 - 1.4.
Example 2.1 The charges in a public car park, which is open from 6am to 12 midnight, ar
Introduction to Financial Mathematics Semester 1, 2017
Assignment 2 Algebra
To be computer entered between:
9am Friday 17th March and 5pm Monday 20th March
Examples:
1 2 3
A. For A =
,
1 0 1
1 0
B = 4 0
3 2
1 2
and C =
4 3
find
(i) (AB)T 5I
(ii) C 2 .
5 7
Introduction to Financial Mathematics Semester 1, 2017
Assignment 3 Functions
To be handed in by 2pm, Monday 27th of March
Examples:
A. Sketch the graphs of y = 2x 1 and y = 2x1 on the same axes.
B. Solve for x: (a) 54x = 25 ,
2
C. Evaluate: (a) 27 3 ,
(b
Introduction to Financial Mathematics Semester 1, 2017
Assignment 1 Algebra
To be handed in by 2pm, Tuesday 14th of March
Examples:
A.
Let
1
2 3
A = 1 0 1
2 3 4
1 2 3 0
B = 4 2 2 1 .
3 0 1 2
(i) How many rows does matrix B have?
(ii) What is the order of
Introduction to Financial Mathematics Semester 1, 2017
Assignment 3 Algebra
To be handed in by 2pm, Monday 27th of March
Example:
A. An investor has $33,000 invested in two funds. One fund returned 5% in
2007 and the other fund returned 6%. The total inco
Shapes of Budget Constraints
Q: What makes a budget constraint a
straight line?
A: A straight line has a constant
slope and the constraint is
p1x1 + + pnxn = m
so if prices are constants then a
constraint is a straight line.
1
Shapes of Budget Constraint
Intermediate Econometrics II/IID
Dr Nadezhda (Nadya) Baryshnikova
Course Staf
Lecturer in charge:
Dr. Nadya Baryshnikova
Ofce hours: TBA in room 404 Nexus 10
Tutors:
See Contacts on myUni for names and ofce hours.
Textbook
Principles of Econometric
BQT 133-Business Mathematics
Teaching Module
CHAPTER 2 : FINANCIAL MATHEMATICS
2.1
Introduction
In this chapter we will study the financial mathematics problem involving the
interest problem, annuity and depreciation. The objective of this chapter is to e
Introduction to Financial Mathematics Semester 1, 2017
Assignment 5 Algebra
To be handed in by 2pm, Monday 24th of April
Examples:
An open Leontief economic model has technology matrix A and production vector x. Under this model the amount of each commodi
Introduction to Financial Mathematics
Functions and Annuities
Lecture 12
Simple Interest and Arithmetic Sequences
References: Harshbarger & Reynolds: Ch. 6.1
Example 12.1 Suppose $4000 is borrowed for 2 years at an interest rate of 7% per year. How
much i
Introduction to Financial Mathematics
Functions and Annuities
Lecture 11
Continuity, Intermediate Value Theorem & Bisection Method
References: Harshbarger & Reynolds: Ch. 9.2
Example 11.1 For what values of x are the following functions are continuous?
(a
Introduction to Financial Mathematics Semester 1, 2017
Assignment 5 Functions
To be handed in by 2pm, Monday 24th of April
Examples:
A. An initial deposit is made into an account earning interest at the rate of 4%
per annum. Calculate how long it takes fo
Introduction to Financial Mathematics Semester 1, 2017
Assignment 4 Algebra
To be computer entered between:
9am Friday 31st March and 5pm Monday 3rd April
Example:
A. For the following set of linear equations
x1 2x2 + 3x3 = 4
2x1 + x2 + x3 = 7
3x1 + 2x2 +
Introduction to Financial Mathematics Semester 1, 2017
Assignment 4 Functions
To be computer entered between:
9am Friday 31st March and 5pm Monday 3rd April
Examples:
A. Find x if log3 x = log3 10 log3 4.
B. What is wrong with the following argument?
log1
Chapter Two
Budget Constraints on Choice
Economic Theory of Consumer
Choice
Consumers choose the best bundle they
can afford
Budget Constraint determines what a
person can afford.
Budget Constraints
Suppose there are two goods,
Denote a Consumption Bundle
Intermediate Microeconomics
II/IID
Lecturer:
Dr Raul Barreto
Office hour: 12-1 pm
Wednesday
Office: Nexus 10, Room
4.26
Course Outline
At the basis of any resource allocation
problem, we see two sides: people who
demand the resource and people/entities wh
Chapter Three
Preferences
Rationality in Economics
Consumers Problem: Choose the best
bundle that is available and affordable.
Budget constraint: study what is available
and affordable.
In this chapter: study what is best
according to the consumer Consume