THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Extra Problem Set 6
If you find any errors/typos, please email them to:
math1020@math.cuhk.edu.hk
2
1. Find if the series converges or diverges. If convergent then

Department of Physics, HKU
How Things Works (PHYS1055) / Revealing the Magic in Everyday Life (PHYS0612)
Interactive Lecture 1
Problems for Discussion:
Acknowledgment: The video clips are extracted from the Youtube.
1. What is inertia? Discuss your observ

Department of Physics, HKU
How Things Works (PHYS1055) / Revealing the Magic in Everyday Life (PHYS0612)
Assignment 2
Due Date: 5:00p.m., April 8, 2015
The number in the square bracket is the word limit in your answers.
Problem 1
[200 words] (20 points)
I

Department of Physics, HKU
How Things Works (PHYS1055) / Revealing the Magic in Everyday Life (PHYS0612)
Interactive Lecture 2
Problems for Discussion:
Acknowledgment: The video clips are extracted from the Youtube.
1.
The structure of a dehumidifier is s

Tutorial 2
Part 1: Angular momentum
Watch the video carefully and briefly describe the phenomenon.
Please provide the explanation.
https:/www.youtube.com/watch?v=-Cc-jGnIwCM
Part 2: Why the universe is flat?
https:/www.youtube.com/watch?v=z8aBZZnv6y8
Not

How Things Works (PHYS1055) / Revealing the Magic in Everyday Life (PHYS0612)
Assignment 2
Due Date: 5:00p.m., March 30, 2016
The number in the square bracket is the word limit in your answers. Each question carries 20 marks.
1.
Water is shooting out of t

Tutorial 1
1Watch the video carefully and briefly describe the
phenomenon. Please provide the explanation.
2. Describe your observation from the movie and briefly
explain your answer.
3. This video demonstrates dependence of water pressure
on the height o

Department of Physics, HKU
How Things Works (PHYS1055) / Revealing the Magic in Everyday Life (PHYS0612)
Assignment 3
Due Date: 5:00p.m., April 30, 2015
The number in the square bracket is the word limit in your answers.
Problem 1
(25 points)
This questio

PHYS1055 How Things Work
Lecture 1: Kitchen Science
Newtons first law of motion
Each body continues in a state of rest or uniform motion in a straight line, unless a net force acts upon it
Boiled and Raw Eggs
Distinguish between Boiled and Raw Eggs
Iner

THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Extra Problem Set 3
Remark: In the following, sin1 x represents the inverse function of sin x, not 1/ sin x.
cos1 , tan1 , , are similar.
1. Find the exact value, i

THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Extra Problem Set 1
1. (a) Graph y =
same.
2
x2 , y = x, y = |x|, and y = ( x) , noting which graphs are the
x2 and y = |x| are the same.
2
(c) Explain why the gr

THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Extra Problem Set 5
If you find any errors/typos, please email them to:
math1020@math.cuhk.edu.hk
2
1. In Problems (a) - (e),
(a) v = i j,
w = i + j.
(b) v = 2i + j

THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Extra Problem Set 2
1. The function f (x) = |x| is not one-to-one. Find a suitable restriction on the domain
of f so that the new function that results is one-to-on

THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1020 General Mathematics
Extra Problem Set 4
If you find any errors/typos, please email them to:
math1020@math.cuhk.edu.hk
2
1. Find the vertex, focus, and directrix of each parabola. Graph

Department of Physics, HKU
How Things Works (PHYS1055) / Revealing the Magic in Everyday Life (PHYS0612)
Assignment 1
Due Date: 5:00p.m., March 18, 2015
The number in the square bracket is the word limit in your answers.
Problem 1
[100 words] (20 points)