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
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 differentiatio
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 / o
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
produc
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.
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
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 ar
Page 1 of 24
MA1201 Calculus and Basic Linear Algebra II
Solution of Problem Set 2
Problem 1
(a)
1
2
3
Let = 1 + 2
= 3 =
.
2
Then the integral becomes
1
1+ 2
3
=
1
1+ 2
3
(
3
1
1
1 1+ 1
) = = + =
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 in
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 S
CITY UNIVERSITY OF HONG KONG
Course code and title : MA1201 Calculus and Basic Linear Algebra II
Session : Semester A, 2013/2014
Time allowed : Two hours
This paper has THREE pages (including this cov
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
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 geometrica
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
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.yout
CITY UNIVERSITY OF HONG KONG
Course code and title
:
MA1201 Calculus and Basic Linear Algebra II
Session
:
Summer, 2013/2014
Time allowed
:
Two Hours
This paper has 4 pages (including this cover page
MA1201 2013-14 Summer
Test 1 (60 minutes)
Answer ALL questions:
Q1
2x
d 3 y 2 1
Evaluate e
dy . (7 marks)
dx x2
d
Hints: (i)
dx
f x
a
g y dy g f x f ' x , (ii)
b
b
a
c
c
f x dx f x dx f x dx .
a
So
MA1201 2013-14 Summer
Test 2 (60 minutes)
Answer ALL questions:
Q1
Find a vector perpendicular to the plane containing the points A 1,0,0 , B 0,2,0 , C 0,0,3 .
(10 marks)
Solution:
AB i 2 j , AC i 3k
CITY UBHVERSITY OF HONG KONG
Course code and title : MAIZOI Calculus and Basic Linear Algebra II
Session : Smnmer Term 2014
Time allowed 2 Two Hours
This paper has 4 pages (including this cover page a
CITY UNIVERSITY OF HONG KONG
Course code and title : MA1201 Calculus and Basic Linear Algebra II
Session : Semester B, 2012/2013
Time allowed : Two hours
This paper has THREE pages (including this cov
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 step
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 step
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
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) ( +
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