1
Ch5/MATH0211/YMC/2009-10
Chapter 5. Dierentiation
5.1. Derivatives
In this section, we introduce the concept of a derivative. There are two main interpretations of
derivatives (i) the geometric one
MATH 0211: Basic Applicable Mathematics
Suggested Solution for Assignment 2
1. (a)
2x 3
1
f ( x) =
3 2x
if x 2,
if 1 x < 2,
if x < 1.
(b) See supplementary sheet
(c) From the graph we observe that t
A3/MATH0211/2009-10
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH0211 Basic Applicable Mathematics
Assignment 3
Due date : Oct 19, 2009 before 17:00.
Remember to write down your Name, Uni
A4/MATH0211/2009-10
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH0211 Basic Applicable Mathematics
Assignment 4
Due date : Nov 5, 2009 before 17:00.
Remember to write down your Name, Uni.
MATH0211
Basic Applicable Mathematics
Dr. Yat-Ming Chan
Department of Mathematics
The University of Hong Kong
First Semester 2009-10
Content Outline
1. Pre-Calculus Topics
Sets theory, Permutation and
Ch2/MATH0211/YMC/2009-10
1
Chapter 2. Permutations and Combinations
2.1. The Basic Principle of Counting
In this section we introduce the basic principle of counting. Let us rst consider the following
1
Ch3/MATH0211/YMC/2009-10
Chapter 3. Functions
3.1. Functions and Graphs
The idea of a function expresses the dependence between two quantities, one of which is given and
the other is the output. A f
1
Ch4/MATH0211/YMC/2009-10
Chapter 4. Limits and Continuity
4.1. Limits
The concept of a limit lies at the foundation of calculus. The idea involves the notion of getting
closer and closer to somethin
357 In Class Work No. 1 First Name_
Last Name _
1. According to US Generally Accepted Accounting Principles, long-lived assets are recorded at:
a.
b.
c.
d.
Market value
Replacement cost
Historical cos
A2/MATH0211/2009-10
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH0211 Basic Applicable Mathematics
Assignment 2
Due date : Sep 30, 2009 before 17:00.
Remember to write down your Name, Uni
MATH 0211: Basic Applicable Mathematics
Suggested Solution for Assignment 1
1. (a) The solution set for equation (x 5)(x2 + 1.5x 1) = (x 5)(x 0.5)(x + 2) = 0
is cfw_2, 0.5, 5.
Note that x N is require
A1/MATH0211/2009-10
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH0211 Basic Applicable Mathematics
Assignment 1
Due date : Sep 17, 2009 before 17:00.
Remember to write down your Name, Uni
1
Ch7/MATH0211/YMC/2009-10
Chapter 7. Integration
7.1. Indenite Integrals
We have studied how to dierentiate a given function f (x) in the last two chapters. Starting with
this section, we would like
SE1/MATH0211/2009-10
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH0211 Basic Applicable Mathematics
Supplementary Exercise 1
(Chapter 14)
(NOT to be handed in)
3
1. Let A = [2, 3), B = cf
SE1Sol/MATH0211/2009-10
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH0211 Basic Applicable Mathematics
Sketched Solutions to Supplementary Exercise 1
3
1. Let A = [2, 3), B = cfw_x R : |
T1/MATH0211/2009-10
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH0211 Basic Applicable Mathematics
Tutorial 1
1. Let
A = cfw_ R : x2 + x + 4 = 0 has two distinct solutions,
B = cfw_ R : x
T2/MATH0211/2009-10
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF MATHEMATICS
MATH0211 Basic Applicable Mathematics
Tutorial 2
1. Show that a linear function f (x) = mx + c, where m = 0, is injective. Fin
119.
a)
Initilal Outlay of the project
Purchase Price
$1,40,000
.00
Installation Charges
$5,000.00
Additional investment required in inventory
$7,000.00
Total Initial Outlay
$1,52,000
.00
b)
Annual af