1
Ch2/MATH1009/YMC/2016-17/1st
Chapter 2. Functions and Graphs
2.1. Functions
The idea of a function expresses the dependence between two quantities, one of which is given and
the other is the output. A function associates a unique output with every input

1
WE2/MATH1009/YMC/2016-17/1st
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMTAICS
MATH1009 Basic Mathematics for Business and Economics
Worked Examples for Chapter 2
Example 1 For each of the following figures, determine whether the figure represents a

T1/MATH1009/2016-17/1st
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH1009 Basic Mathematics for Business and Economics
Tutorial 1 (Sep 19 23)
Chapter 1
1. Write down the converse, contrapositive and negation of the following (true) statement:

1
AppCh3/MATH1009/YMC/2016-17/1st
Appendix to Chapter 3. Difference Quotients and Derivatives
Difference Quotient
Derivative
at x = c with change h:
at x = c:
f (c + h) f (c)
h
Notation
or
f
x
(where x = h and
f = f (c + x) f (c)
lim
h0
or
f (c + h) f (c)

A4/MATH1009/2016-17/1st
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH1009 Basic Mathematics for Business and Economics
Assignment 4
Due date : Oct 27, 2016 before 18:00
Instructions
Please submit your work as a PDF file in moodle. SCAN your

1
Ch4/MATH1009/YMC/2016-17/1st
Chapter 4. Introduction to Optimization
Economists are very often faced with the need to find an optimum, that is, the best value of a given
objective function. For example, they may try to maximize a firms profit, the utili

1
WE1/MATH1009/YMC/2016-17/1st
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMTAICS
MATH1009 Basic Mathematics for Business and Economics
Worked Examples for Chapter 1
Example 1 Let P , Q and R be statements. Show that
(a) P (Q R) is logically equivalent

A1/MATH1009/2016-17/1st
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH1009 Basic Mathematics for Business and Economics
Assignment 1
Due date : Sep 19, 2016 before 18:00.
Instructions
Please submit your work as a PDF file in moodle. SCAN your

1
Ch3/MATH1009/YMC/2016-17/1st
Chapter 3. Dierentiation
3.1. The Derivative of a Function
In this chapter we start to study the topic of calculus. This important branch of mathematics serves
as a natural and powerful tool for attacking a variety of proble

A1S/MATH1009/2016-17/1st
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH1009 Basic Mathematics for Business and Economics
Assignment 1 Solution
1. (a)
P
Q
R
P Q
QR
P (Q R)
(P Q) R
T
T
T
T
T
T
T
T
T
F
T
T
T
T
T
F
T
T
T
T
T
T
F
F
T
F
T
T
F
T
T
T

MATH1009
Basic Mathematics for Business and Economics
Dr. Yat-Ming Chan
Department of Mathematics
The University of Hong Kong
First Semester 2016-17
Chapter Outline
Chapter 1. Logic
Chapter 2. Functions
Chapter 3. Dierentiation
Chapter 4. Unconstrained Op

A3/MATH1009/2016-17/1st
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH1009 Basic Mathematics for Business and Economics
Assignment 3
Due date : Oct 11, 2016 before 12:00 noon
Instructions
Please submit your work as a PDF file in moodle. SCAN

A2/MATH1009/2016-17/1st
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH1009 Basic Mathematics for Business and Economics
Assignment 2
Due date : Sep 30, 2016 before 18:00.
Instructions
Please submit your work as a PDF file in moodle. SCAN your