Unit 10: Paragraph Structure
Reflection
By the time they reach university, most students have been
taught a great deal about how to plan and write paragraphs,
but they are often taught different things.
This unit introduces basic
principles of good
paragr
MA1201 (CG1)
Calculus and Basic Linear Algebra II
Semester B, 2014-15
Additional Exercise on Chapter 1 Basic Concepts of Integration
Evaluate the following integrals:
1.
sin 2 x cos 3x dx
2.
sin
3.
2 x 2 5 x 3 dx
4.
2 x2 2 x 5 dx
5.
3x 2
x 2 4 dx
6.
MA1201 (CG1)
Calculus and Basic Linear Algebra II
Semester B, 2014-15
Additional Exercise on Chapter 2 Techniques of Integration
Evaluate the following integrals:
sin 5 x
1.
3 cos 5 x dx
2.
cos x
dx
x
2
2
cos 3 x dx
3.
4.
2
5.
x 2 4 x 13 dx
6.
0
7.
8.
1
MA1201 (CG1)
Calculus and Basic Linear Algebra II
Semester B, 2014-15
Additional Exercise on Chapter 4 Vector Algebra
1.
Given two points P(3, 0, 1) and Q(2, 1, 3) .
(a)
Find two unit vectors which are parallel to PQ .
(b)
Given that the point M divides t
MA1201 Calculus and Basic Linear Algebra II
Solution of Problem Set 2
Integration Technique (Part 1)
Problem 1
1
2
(a)
1
.
2
Then the integral becomes
1
1
1
.
2
2
2
2
1
6 .
6
Then the integral becomes
1
1
sec1 2 sec1 2 sec
6
6
1
ln|sec ta
MA1201 Calculus and Basic Algebra 1! (Section: CC1)
Quiz 1: Integration
Name: SID: Score:
Time allowed: 25 minutes
Instruction: Write all your answer in the spaces provided. Show all your working steps
(including evaluation of integrals) clearly. The brie
Page 1 of 80
MA1201 Calculus and Basic Linear Algebra II
Chapter 4
Vector Algebra
Page 2 of 80
Introduction
We use numbers (real numbers) to describe a lot of things (e.g. temperature, price of
products, your GPA, your achievement in Candy Crush Saga etc.
Page 1 of 72
MA1201 Calculus and Basic Linear Algebra II
Chapter 3
Application of Integration
Page 2 of 72
Application of Integration
1. Geometric Application
Area of region bounded by curves and / or axes (pp. 3-17)
Volume of a solid generated by revol
Page 1 of 60
MA1201 Calculus and Basic Linear Algebra II
Chapter 1
Basic Concept of Integration
Page 2 of 60
What is integration?
Roughly speaking, integration is the reverse process of differentiation: Given a
function (), we would like to find a (differ
Unit 6: Integrating Sources
Task 1: Vocabulary Matching
Complete the matching exercise below to check that you
understand some of the key vocabulary for discussing
this topic.
University assignments usually
involve the use of information
and ideas from ex
Unit 9: Writing Introductions and Conclusions
Reflection
What do you know about writing essay introductions?
With a classmate, discuss advice you have received in
previous English courses, or other courses at CityU, about
how to write an effective introdu
Unit 4: Effective Reading
Reflection
Task 1
Read the following statements
about reading and tick the ones
that apply to you. In each case,
consider why.
During your career as a university student, you will need to
read a large amount of material related t
FIRST DRAFT of a research report (it is not perfect and should not be used as a model to copy)
Students' Reading Habits at City University of Hong Kong
Introduction
Success at university often depends on pre-existing attributes, including the mastery of s
Lecture 4: Molecular Geometry and Bonding
Theories
The Chemistry of Our Vision:
Upon the absorption of visible-light photons, the geometry of the
retinal molecule will change.
This delicate geometrical change caused by the exposure to visible
light is an
Unit 7: Summary and Paraphrasing Skills
In this unit, we will look at techniques you can use to make a summary
of a longer text (or part of a text). We begin with general ideas about
the importance of summary writing and then move on to useful
strategies
1
BCH 1100 Chemistry
Michael C.W. Chan
G6615, 3442 9678
[email protected]
Intro.
(http:/www.youtube.com/watch?v=e-QFj59PON4)
Big Bang & Birth of the Earth:
WHERE DID WE COME FROM?
( https:/www.youtube.com/watch?v=oeM103KJ5x8, https:/www.youtube.com/wat
Page 1 of 125
MA1201 Calculus and Basic Linear Algebra II
Chapter 2
Integration Technique
Page 2 of 125
In this Chapter, we shall discuss some important technique in evaluating integrals:
Method of Substitution (pp. 3=37)
Integration by parts & Reductio
MA1201 Calculus and Basic Algebra II (Section: CC1)
Quiz 1: Integration
Name:
SID:
Score:
Time allowed: 25 minutes
Instruction: Write all your answer in the spaces provided. Show all your working steps
(including evaluation of integrals) clearly. The brie
MA1201 Calculus and Basic Algebra II (Section: CE1)
Quiz 1: Integration
Name:
SID:
Score:
Time allowed: 25 minutes
Instruction: Write all your answer in the spaces provided. Show all your working steps
(including evaluation of integrals) clearly. The brie
MA1201 Basic Calculus and Linear Algebra II
Final Review
Part 1: Review in integration and application of integration
Integration Techniques
Standard Level
Example 1
Compute the integrals
(
)
Solution:
For the 1st integral (
, one can use method of substi
Page 1 of 10
MA1201 Calculus and Basic Linear Algebra II
Solution of Problem Set 4 Vector Algebra
Problem 1
(a)
The position vectors of , and are given by
= + , = 2 + 3 and = 2
(b)
= = (2 + 3) ( + ) = + + 3.
= = ( + ) (2 ) = + 2.
(c)
Note that
= = (2
COL CourseTitle
Grouping Code PALSI Leader
Course
Course
Start Date End Date Sun Mon Tue Wed Thu Fri Sat
Course Course
Start
End
Buildin
Time
Time
g
Room
I was brought to attention the following typos in homework 2 solutions, which I attached
below for your refernce
Problem 10(b)
In the last line of the equations, the term (128/315) a^8 should be (128/315) a^8 x.
Problem 12(b)
After the third "=" sign in t
MA1201 Calculus and Basic Linear Algebra II
Problem Set 5
Complex Number
Part A: Basic Concept
Problem 1
Simplify the following expression and express your answer in the form of + .
(a) 5 7 + 10
(b) 1
3 + 2
(c) (2 + )2 (3 )
(d) (1 3)1
Problem 2
Let = + b
CITY UNI V ERSITY OF HONG KONG
nd title : MA] 201 Calculus and Basic Linear Algebra II
Semester A, 20 1 4/20 1 5
Two hours
is TIiREE pages (including, this cover 'page 811(1 the attaciled
7 candidates:
LII SIX questions in this paper.
a question} on a n
Unit 8: Engaging Critically with Sources
Reflection
Task 1: What is critical thinking?
Which of these statements about critical reading do you think are
reasonable? Share your ideas with one or more classmates. Be
sure to discuss why you agree/partly agre
Unit 2: Introduction to Academic Style Hedging and Formality
Warm-up: What is a MOOC?
Task 1: Listening and Note-taking
Watch the following YouTube clip about Massive Open
Online Courses (MOOCs):
In this unit we will explore
some of the typical features
o
Unit 3: Secret Agents: Nominalization and Complex Noun Phrases
In this unit we will study the use of nominalization and complex noun phrases. This will help you in
various ways:
Reading understanding noun phrases will make it easier for you to decode the
Unit 1: Independent Learning
Reflection
Task 1: Discussion
Success at university requires (among other things) a high
level of English. Unfortunately, this cant be achieved
simply by attending one 3-hour lesson per week. For this
reason, the EAP course in