Vv156
Dr Jing Liu
Assignment 2
Due: 10am, Oct 14
Question1 (3 points)
Determine whether each of the followings is true. If not, briefly explain why it is false.
(a) (1 point) If a function has the limit lim f (x) = L, then fn converges to L as well.
x
Vv156
Dr Jing Liu
Assignment 1
Due: 10am, Sept 30
Question1 (2 points)
Find sup(A) and inf(A) where A =
n+2
|n2N .
n
Solution:
0M The answers are very obvious. But let us see how we can convey our ideas in writing.
1M If n 2 N, then
n
1 =)
n
2
1
2
2
n+2
=
Vv156
Dr Jing Liu
Assignment 4
Due: 10am, Nov 1
Question1 (8 points)
Find the derivative y 0 , show all your workings.
(a) (1 point) y = x (ln x 1)
(e) (1 point) y = 2 cos x + ln x
(b) (1 point) y = sinh x
(f) (1 point) y = arccos(3x2 )
(c) (1 point) y =
Vv156
Dr Jing Liu
Assignment 3
Due: 10am, Oct 21
Question1 (1 points)
Find the derivative function of the following function using the definition of derivative.
1
g(t) = p
t
State the natural domain of g(t) and the natural domain of its derivative functio
Vv156
Dr Jing Liu
Assignment 6
Due: 10am, Dec 2
Question1 (1 points)
Find the area of the region enclosed by the curves
x = 1 y2
x = y2 1
and
Question2 (1 points)
For what values of m do the line y = mx and the curve y =
x
enclose a region?
x2 + 1
Questio
Vv156
Dr Jing Liu
Assignment 2
Due: 10am, Oct 14
Question1 (3 points)
Determine whether each of the followings is true. If not, briefly explain why it is false.
(a) (1 point) If a function has the limit lim f (x) = L, then fn converges to L as well.
x
Vv156
Dr Jing Liu
Assignment 4
Due: 10am, Nov 1
Question1 (8 points)
Find the derivative y 0 , show all your workings.
(a) (1 point) y = x (ln x 1)
(e) (1 point) y = 2 cos x + ln x
(b) (1 point) y = sinh x
(f) (1 point) y = arccos(3x2 )
(c) (1 point) y =
Vv156
Dr Jing Liu
Assignment 3
Due: 10am, Oct 21
Question1 (1 points)
Find the derivative function of the following function using the definition of derivative.
1
g(t) =
t
State the natural domain of g(t) and the natural domain of its derivative function
Vv156
Dr Jing Liu
Assignment 1
Due: 10am, Sept 30
Question1 (2 points)
Find sup(A) and inf(A) where A =
n+2
|nN .
n
Question2 (3 points)
Suppose S is a nonempty subset of R. Determine whether the following statements are
true. If not, briefly explain why
Vv156
Dr Jing Liu
Assignment 5
Due: 10am, Nov 25
Question1 (4 points)
Find an antiderivative for each of the following functions
3
1
x2 + x3
(c) (1 point) y =
(a) (1 point) y = +
2
1
+
x2
x
2 1x
x
2
(d) (1 point) y = x (ln x + 1)
(b) (1 point) y = 3 sin
To Buy or Not to Buy:
Advertisements of Cognitive-Affective Models
vs. Consumers of Thinking- Feeling Types
in Ethical Consumer Contexts
1 Introduction
Peoples decisions are influenced by outside information and inner
characteristics. The research use que
Business Ethics
Introduction
Lecture 1
06 September 2016
Dr. Z. Wu
1
Agenda
Introduction
Motivations
Course outline
Lectures
Team assignments
Assessment
Business ethics: concepts
2
Why Study Business Ethics?
Timeline
2007 12 consumers complain abou
Business Ethics
Ethics and consumers
Lecture 6
18 October 2016
Dr. Z. Wu
1
Agenda
Ethics of consumer protection
Market approach
Contract view
Due care theory
Social costs view
Ethics of advertising
2
Problems of Consumer Protection
Dangerous products
De
Business Ethics
Ethical Principles in Business
Lecture 3
20 September 2016
Dr. Z. Wu
1
Team Registration
Team size: 6 7 students
Deadline: September 23, 16:00
Submission: E-learning Assignment
A greater diversity is recommended
2
Moral Behaviour
Step 1:
Business Ethics
Ethics of Job discrimination
Lecture 7
25 October 2016
Dr. Z. Wu
1
A toy has small parts that may choke young children. A warning sign was
on its package. A burglar robbed a toy store and took all the cash and
some toys. He threw the packa
Business Ethics
Corporate Social Responsibilities
Lecture 4
27 September 2016
Dr. Z. Wu
1
Agenda
What is corporate social responsibility?
Should companies take social responsibilities?
Yes
No
Social performance and financial performance
Social respo
Business Ethics
Ethics and environment
Lecture 5
11 October 2016
Dr. Z. Wu
1
Agenda
Environmental threats created by business/human
beings
Ethics of pollution control
Ethics of conserving resources
2
Sources of Environmental Threats
Pollution
The und
Business Ethics
Ethics and Globalization
Lecture 9
08 November 2016
Dr. Z. Wu
1
Agenda
Ethics and Competition Practices
Ethics and globalization
Ethical challenges to multinational companies
(MNCs)
Cultural relativism, ethical universalism, and
integr
Business Ethics
Ethics and Competition
Lecture 8
01 November 2016
Dr. Z. Wu
1
All else equal, minorities have a much lower likelihood of
being recruited and promoted in job market than majorities.
(e.g. Being black is about equivalent to having an 18-mont
Business Ethics
Moral Reasoning
Lecture 2
13 September 2016
Dr. Z. Wu
1
Agenda
Ch. 1.3: Moral reasoning
Moral development
Moral reasoning
Impediments of moral behavior
Ch. 1.4: Moral responsibility
Judgement of whether a person is morally responsibl
Vv156 Lecture 15
Dr Jing Liu
UM-SJTU Joint Institute
March 28, 2016
Dr Jing Liu (UM-SJTU Joint Institute)
Lecture 15
March 28, 2016
1 / 20
Integral Calculus
Theorems
The Fundamental Theorem of Calculus Part-I Evaluation
If f is continuous on [a, b], then
Vv156 Fall 2015
RC 1
Name and ID:
1. Real Numbers
Question1 (1 point)
Please judge whether the following statements are true
(1) upper bound of a set may not be in the set
(2) least upper bound of a set must be in the set
(3) neighbourhood of a point x is
Vv156 Lecture 18
Dr Jing Liu
UM-SJTU Joint Institute
April 5, 2016
Dr Jing Liu (UM-SJTU Joint Institute)
Lecture 18
April 5, 2016
1 / 14
Integral Calculus
Applications
- By definition the area under a continuous curve y = f (x) over the interval [a, b]
Z
Vv156
Dr Jing Liu
Assignment 4
Due: Mar 21, 2016
Question1 (2 points)
Is it possible to have a function f indicated by the following pictures? If not, explain why not.
(a) (1 point) f , f 0 and f 00 are shown
(b) (1 point) f , f 0 and f 00 are shown
4000
Vv156
Dr Jing Liu
Assignment 6
Due: April 5, 2016
Question1 (24 points)
Find the followings. Show all your workings.
Z 9
2x x dx
(a) (1 point)
4
Z 2
dx
(b) (1 point)
2
2 x x 1
Z
2
x
dx
(c) (1 point)
x+1
Z 1
2
(d) (1 point)
xex /2 dx
Z0
(e) (1 point)
x ln
Vv156 Lecture 10
Dr Jing Liu
UM-SJTU Joint Institute
March 14, 2016
Dr Jing Liu (UM-SJTU Joint Institute)
Lecture 10
March 14, 2016
1 / 31
Differential Calculus
Theorems
- Recall the sequence cfw_an is said to be increasing if
an+1 an
for all n.
and it i
Vv156 Lecture 17
Dr Jing Liu
UM-SJTU Joint Institute
March 30, 2016
Dr Jing Liu (UM-SJTU Joint Institute)
Lecture 17
March 30, 2016
1 / 11
Integral Calculus
Techniques
- The idea behind integrating rational functions
Z
P(x)
dx
Q(x)
is to expand the ration
Vv156 Lecture 3
Dr Jing Liu
UM-SJTU Joint Institute
February 24, 2016
Dr Jing Liu (UM-SJTU Joint Institute)
Lecture 3
February 24, 2016
1 / 11
Preliminary
Sequences of Numbers
Dictionary
A set of related events, movements, or things
that follow each other
Vv156
Dr Jing Liu
Assignment 5
Due: Mar 28, 2016
Question1 (4 points)
A cone of radius r centimeters and height h centimeters is lowered point first at a rate of 1cm/s into
a tall cylinder of radius R centimeters that is partially filled with water. How f