MAEG 2020: Engineering Mechanics
Homework 1 (Due on 21/09/2016, Wednesday)
IMPORTANT: Solutions to this assignment are to be presented in a neat and professional format.
Write down the equations, drawing, and assumptions that you used in your calculation.
Chapter 7
Periodic Properties
of the Elements
Development of the Periodic Table
Dmitri Mendeleev
and Lothar Meyer
independently
came to the same
conclusion about
how elements
should be
grouped.
Mendeleev and the Periodic Table
Chemists mostly credit Mende
Chapter 5
Thermochemistry
Combustion: turning chemical energy into heat
Combustion: turning chemical energy into heat
and turning heat into work.
Welcome to the Industrial Age:
Turning chemical energy into electricity
Energy
Energy is the ability to do w
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1510 Calculus for Engineers (Fall 2016)
Suggested solutions of coursework 1
Student No.:
Name:
Class:
I acknowledge that I am aware of University policy and regulations on honesty
in academ
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1510 Calculus for Engineers (Fall 2016)
Suggested solutions of coursework 2
Name:
Student No.:
Class:
I acknowledge that I am aware of University policy and regulations on honesty
in academ
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1510 Calculus for Engineers
Extra Exercise Set 1
If you find any errors/typos, please email them to:
[email protected]
2
1. For f (x) = 1 x2 , find each value.
(a) f (1);
(b) f (2);
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1510 Calculus for Engineers (Fall 2016)
Pre-coursework Exercise 1
1. Describe the elements in the following sets.
(a) cfw_2, 4;
(b) (2, 4);
(c) [2, 4].
2. Describe the elements in the follo
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1510 Calculus for Engineers (Fall 2015)
Suggested solution to Quiz 1
Name:
Student No.:
Class:
Final Result:
1. Answer all questions. Show work to justify all answers.
ar stu
ed d
vi y re
a
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1510 Calculus for Engineers (Fall 2016)
Solution to Pre-tutorial Exercise 2
x2 1
.
1. Let f (x) = x + 1 and g(x) =
x1
(a) State the domains of f (x) and g(x).
Ans:
Domain of f (x) = R;
Doma
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1510 Calculus for Engineers (Fall 2016)
Pre-coursework Exercise 3
1. Fill in the blanks and construct an upper bound and a lower bound of
1
2. (a) Prove that
cos
1
4 cos
4
6 + 4 cos
10
CHEM1380B: Basic Chemistry for Engineers
Electronic Structure of Atoms
and Periodic Table
Chapter 6
Electronic Structure of
Atoms
Matter at Different Length Scale
Sub-atomic particles are governed by a different set of physical
laws: quantum mechanics.
Tw
Application no. :
Applicant name:
The Chinese University of Hong Kong
Morningside College
Application Essay
(Time allowance: 30 minutes)
Please write an essay on one of the options listed below.
1) Discuss some issue of personal, local, national, or inter
Section III Additional information
CUHK/JUPAS application no.
1694919A
Name:
HANSEN CUGITO
Photo
Personal and extra-curricular activities and community service(up to 250 words)
Please briefly state your reasons for applying to Morningside College and prov
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1510 Calculus for Engineers (Fall 2016)
Pre-coursework Exercise 2
1. Let f (x) = x + 1 and g(x) =
x2 1
.
x1
(a) State the domains of f (x) and g(x).
(b) Fill in the blanks. By (a), g(x) can
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH 1510B Calculus for Engineers (Fall 2016)
Topic 2 : Limits
Limit at x = a
lim f (x) is the value of f (x) when x gets close to a (but not at a)
xa
Example
x2 4
. Then, what should lim f (x)
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH1510 Calculus for Engineers (Fall 2016)
Selected Solutions to Pre-coursework Exercise 1
1. Describe the elements in the following sets.
(a) cfw_2, 4;
Ans: The set only consists of two eleme
THE CHINESE UNIVERSITY OF HONG KONG
Department of Mathematics
MATH 1510B Calculus for Engineers (Fall 2016)
Topic 3 : Continuity
A highly imprecise definition :
A continuous function is one whose graph can be drawn without lifting your pencil from
the pap
ANDERSON JUNIOR COLLEGE
2013 Preliminary Examinations
H2 MATHEMATICS (JC2)
PAPER 2
Duration : 3 hr
Answer ALL questions.
Section A: Pure Mathematics [40 marks]
1.
The function f is defined by
f: x
4
2 x 5
2
1
for x , x
5
.
2
(i)
Sketch the graph of y =
2013 Preliminary Examination H2 Mathematics 9740 Paper 1 (Solutions)
1
If two curves y = ax3 +
bx and y = ln (px2) intersect at the points where x = 1, x = 2 and
x = 4, find the values of a, b and p, correct to 2 decimal places.
[Solution]
At the points o
TEMASEK JUNIOR COLLEGE, SINGAPORE
Preliminary Examination 2015
Higher 2
9740/01
MATHEMATICS
Paper 1
31 August 2015
Additional Materials:
Answer paper
List of Formulae (MF15)
3 hours
READ THESE INSTRUCTIONS FIRST
Write your Civics group and name on all the
VICTORIA JUNIOR COLLEGE
Preliminary Examination
MATHEMATICS
9740/01
(Higher 2)
Paper 1
September 2015
3 hours
Additional Materials: Answer Paper
Graph Paper
List of Formulae (MF15)
READ THESE INSTRUCTIONS FIRST
Write your name and CT group on all the work
Topic 1 Arithmetic & Geometric Progressions
1
Arithmetic & Geometric Progressions
Level 1
Q1.
[2013/Prelim/YJC/II/5]
Andy and Bob played a computer game last year.
(a)
(b)
Q2.
Andy gained 450 points on the first day he played. On each subsequent day, he g
World Academy of Science, Engineering and Technology
International Journal of Medical, Health, Biomedical, Bioengineering and Pharmaceutical Engineering Vol:5, No:8, 2011
Design and Fabrication of a Low Cost Heart
Monitor using Reflectance Photoplethysmog
Faculty Package | Foundation Science Courses | Foundation Mathematics Courses |
Major Required Courses | Major Elective Courses
Faculty Package
ENGG1100 Introduction to Engineering Design (3 units)
This is a hands-on project-based course which introduces