MA2219: 2011
Question 1 [12 marks]. In the gure M and N are the midpoints of AB and CD,
respectively. Also M P CD and N Q AB .
D.
.
A
. .
. .
.
.
.
.
.
.
.
.
.
.N
.
.
.
.
. P
.
.
.
.
.
. .
.
.
. .
.
. . .
.
. . .
.
. .
.
.
.
.
.
.
.
.
.
. C
.
.
.
.
.
.
.
YU Ziling [T02]
Matric Number: U093381N
Homework #1
Before doing the segmentation, targeting and positioning, we will analyze the current market status.
The cosmetics industry is in a state of flux. Consumers are no longer content with just the cosmetic
b
YU Ziling [T02]
Matric Number: U093381N
Homework #1
Before doing the segmentation, targeting and positioning, we will analyze the current market status.
The cosmetics industry is in a state of flux. Consumers are no longer content with just the cosmetic
b
Week 6:
Branding Decisions
1
2
Million Dollar Money Drop Question
According to a Harris poll, , what was the number one
thing Americans did in 2010 to save money?
A) Stop buying morning coffee
B) Cut down on dry cleaning
C) Buy more generic products
3
Bra
Week 5:
Product Decisions
Marketing 2401B, 2013 Semester II
1
Successful Product Innovations
2
Sales and Number of Firms
3
Sales and Number of Firms
4
What Contributes to Product Takeoff?
Sales are initially low due to the relative primitiveness of the fi
Concurrence
Chapter 5 Concurrence
When several lines meet at a common point, they are said to be
concurrent.
N
X
P
M
()
Q
Z
Y
Concurrence
Defn 5.1. The line segment joining a vertex of ABC to any given
point on the opposite side (or extended) is called a
Quadrilaterals
4.1 Basic Properties
C
D
1. ABCD is a quadrilateral.
The following are equivalent:
(a) ABCD is a parallelogram
(b) AB DC and AD BC
(c) AB = DC and AD = BC
(d) AB DC and AB = DC
(e) AC and BD bisect each other
()
A
B
Quadrilaterals
2. For a
Collinearity
Chapter 6 Collinearity
To prove that 3 points A, B , C are collinear:
technique is to verify that one of the angles ABC , ACB or BAC is 180 .
C
B
A
We
verify that the given points all lie on a known specic line.
These methods have been applie
Week 9:
Advertising Decisions
Marketing 2401B, 2013 Semester II
1
Advertising Objectives
Inform consumers
Important for building primary demand
Persuade consumers
Especially important for building demand in competitive markets
Remind consumers
maintain to
MA2219: 2010
1. By Varignons theorem applied to the quadrilateral ADBC , EP F Q is a parallelogram.
Let P Q intersect EF at K . Then K is the midpoint of P Q. Now apply Varignons
theorem to the quadrilateral P BCQ. We have M F N K is a parallelogram. Henc
MA2219: 2011
1. (i) If AM = M P , then AP B = 90 . Thus The circle is tangent to CD at P .
Conversely if the circle is tangent to CD say at the point X . Then M X CD. Thus
X = P and AM = M P .
(ii) We have N M DA. Then 2[AN B ] = 2[AN M ] + 2[BM N ] = 2M
Problem Set for Week 3
12
1. Let A = 3 4 ,
56
B=
101
010
,
C=
10
22
.
(a) Calculate, where possible: AB, BC, AC, CA, A + B, A + B
(b) Calculate C A , and verify that C A = (AC ) .
(c) Calculate C 1 , and verify that (C )1 = (C 1 ) .
(d) Calculate C C , an
Models of Hyperbolic Geometry
Chapter 10 Models of Hyperbolic Geometry
Non-Euclidean geometry, hyperbolic geometry in particular, was
discovered independently by Janos Bolyai (1802-1860) and Nicolai
Ivanovitch Lobachevsky (1793- 1856), in an attempt to pr
Chapter 9 Inversive Geometry
Given a circle on the plane, it is possible to turn it inside out by a
mapping. It has the effect of mapping circles into circles and
preserving angles. This map called inversion was rst introduced by
J. Steiner in 1830. In ma
Circles
Chapter 7 Circles
It has long been known to the Pythagoreans such as Antiphon and
Eudoxus that the area of the circle is proportional to the square of its
radius. Inevitably the value of the proportionality is of great
importance to science and ma
Marketing executives focus too much on ever-narrower
demographic segments and ever-more-trivial product
extensions. They should find out, instead, what jobs
consumers need to get done. Those jobs will point the
way to purposeful products-andgenuine
innova
Week 7:
Pricing Decisions
Marketing 2401B, 2013 Semester II
1
Price Can Dramatically Affect Profits
Annual demand = 1,000,000 units
Production costs = $1.96
Current price = $2
Suppose you increased price by 1%
By what percentage would profits increase? _%
1. Introduction
Zipcar, founded in 2000 in the United States, is one of the first car-sharing companies
worldwide. The maturity of its existing market in America propelled the company to sought
new opportunities for expansion, particularly towards Asian c
Week 4:
The Dynamic Nature of Competition
Marketing 2401B, 2013 Semester II
1
Love Triangle
2
Choice of Strategies
3
Industry Herding
Industry herding around a products physical
characteristics
Sonys Trinitron picture tube, are typically copied
within six
Chapter 2 Optimization Models
Optimization:
Aim: To find or choose a procedure or make decisions so as to achieve
some goal or to make some key performance indicators (KPI) to be
optimal. The process of finding the best solution is known as optimization
Classifying optimization problems
By the independent variables:
Integer optimization - integer variables
Continuous optimization real variables
By the problem:
Linear optimization, Nonlinear optimization, Dynamic optimization, .
By constraints
Optimize
NATIONAL UNIVERSITY OF
NATIONAL
SINGAPORE
SINGAPORE
NUS BUSINESS SCHOOL
FIN3119: Risk and Insurance
2013/2014 Semester I
Course Outline
A/P. Chen Renbao
by Dr. Chen Renbao
00-1
Lecturer: A/P Chen Renbao
Office: BIZ #07-5
Tel:6516-3188
Email: bizchenr@nus
TOPIC 3:
TOPIC
INSURANCE MECHANISM
AND RISK AND UTILITY
AND
Dr. Chen Renbao
by Dr. Chen Renbao
03-1
TOPIC 3: INSURANCE MECHANISM
AND RISK AND UTILITY
PART I: THE INSURANCE MECHANISM
I. Meaning of Insurance
II. Requirements of an Insurable Risk
III. Insur
What is a model
Some notations
Independent variables:
Time variable: t, n
Space variable: x in one dimension (1D), (x,y) in 2D or (x,y,z) in 3D
State variables or dependent variables: is a scalar or vector
valued variables, generally a function of the ind
TOPIC 2:
RISK AND RISK
MANAGEMENT
MANAGEMENT
Risk is the spice of life, but its burdens are heavy.
Anonymous
Dr. Chen Renbao
by Dr. Chen Renbao
02-1
New Changes Related to CPF
From 2012, extending the withdrawal minimum age from
62 to 65;
Make (life) a
Benefits of captive insurance companies
For many years, large corporations in this country have enjoyed many
benefits from operating their own captive insurance companies. Most
were established to provide coverage where insurance was unavailable
or unreas
Benefits of captive insurance companies
For many years, large corporations in this country have enjoyed many
benefits from operating their own captive insurance companies. Most
were established to provide coverage where insurance was unavailable
or unreas