Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
3/5/2015
macroeconomicstest1flashcardsQuizlet
macroeconomics test 1
67 terms by alyssagardea
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1.Whichofthefollowingisconsideredto
bemoney?
C.checkingaccountdepos
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
Solutions of Tutorial 2
Q1 We may use the following results without proofs
x
sin x
sin ax a
= 1, lim
lim
= 1, lim
=
x 0 x
x 0 sin x
x 0 sin bx
b
Q1 (b)
0
form
0
1
( a sin ax)
ln(cos ax)
lim
= lim cos
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
Q3
Tutorial 1
For cone
radius 3 r
= =
height 6 h
1
r= h
2
(a ) Let V p (t ) be the volume of coffee in the pot at time t
V p = height = 32 h p
base
d
d
V p = 9 h p
dt
dt
d
10 = 9 h p
dt
dh p 10
does n
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
Ground Rules
PC1221 Fundamentals of
Physics I
Lectures 9 and 10
The Laws of Motion
A/Prof Tay Seng Chuan
Responsible use of electronic gadgets
No talking while lecture is going on
No gossiping while t
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
MA1505 MidTerm Test
_
General Information
1. Date: Monday, 29 September 2014.
2. Time: From 8:30pm to 9:30pm.
3. Venue: MPSH 1 and MPSH 2. Please check the sitting
plans which will be available at a
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
MA 1505 Mathematics I
Tutorial 5 Solutions
1. Rewrite the function:
1
f (x) = (x + x) =
2
0 < x < 0
x 0<x<
The Fourier series of f (x) is given by
a0 +
(an cos nx + bn sin nx).
n=1
a0 =
an =
1
1
2
b
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
MA 1505 Mathematics I
Tutorial 6 Solutions
1. V = I R
(i)
=
I =
V
R.
I
1
= .
V
R
If R = 15, then
I
1
=
0.0667 A/V.
V
15
V
I
120
I
= 2 . If V = 120 and R = 20, then
= 2 = 0.3 A/.
R
R
R
20
(iii) By Cha
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
MA 1505 Mathematics I
Tutorial 1 Solutions
1. Note that (g f )(x) =
2. (a) y =
ax + b
,
cx + d
y =
6
3 x  and (f g)(x) =
6
.
3x
a(cx + d) c(ax + b)
ad bc
=
(use quotient rule)
2
(cx + d)
(cx + d)
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
Ground Rules
PC1221 Fundamentals of
F d
t l f
Physics I
Lectures 17 and 18
Linear Momentum and Collisions
A/Prof Tay Seng Chuan
Responsible use of electronic gadgets
No talking while lecture is going
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
MA 1505 Mathematics I
Tutorial 3 Solutions
n
1. (a) Let un = (1)n (x+2) .
n
lim
n
(x + 2)n+1
n
un+1
= lim
= x + 2.
n
un
n+1
(x + 2)n
By ratio test, the power series is convergence in x + 2 < 1.
So
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
Remarks of tutorial 4
Q4
Two nonparallel planes always intersect.
Hence the distance between them is zero
2x + 2 y z =
1
In this question, the given two planes are
parallel, since their normals are p
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
MA 1505 Mathematics I
Tutorial 2 Solutions
1. (a)
lim
x/2
(b)
1 sin x
cos x
sin x
1
= lim
= lim
= .
1 + cos 2x x/2 2 sin 2x x/2 4 cos 2x
4
a sin ax
2
ln(cos ax)
cos ax = lim a sin ax cos bx = a .
lim
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
Remarks of tutorial 2
Q1( f) Q1( g)
sin x
1
You may use the results lim
x 0
Q1( g)
x
x
lim
1
x 0 sin x
without proofs
x x cos x sin x
x
x cos x sin x
lim
lim
lim
x 0 sin x
x 0 sin x x 0
2 x3
2 x3
Q1(
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
Ground Rules
PC1221 Fundamentals of
F d
t l f
Physics I
Lectures 15 and 16
Potential Energy
A/Prof Tay Seng Chuan
Responsible use of electronic gadgets
No talking while lecture is going on
No gossipin
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
Ground Rules
PC1221 Fundamentals of
F d
t l f
Physics I
Lectures 13 and 14
Energy and Energy Transfer
A/Prof Tay Seng Chuan
Responsible use of electronic gadgets
No talking while lecture is going on
N
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
Chapter 10. Surface Integrals
10.1
Parametric Surfaces
A parametric representation of a surface is given
by the twovariable vector function
r(u, v) = x(u, v)i + y(u, v)j + z(u, v)k
(1)
where u and v
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
MA1505
MidTerm Test
Formulae List
1.
The Taylor series of f at a is
k=0
f (k)(a)
(x a)k = f (a) + f (a)(x a) +
k!
f (n)(a)
+
(x a)n +
n!
2.
x
e =
n=0
xn
n!
3.
(1)nx2n+1
(2n + 1)!
sin x =
n=0
4.
cos
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
1. Five students measure the mass of an object, each using a
y
different scale. They record their results as follows:
PC1221 Fundamentals of Physics 1
Semester1, AY1314
(10% of Final Score)
2. The q
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
In Physics, you learn models. You are advised
to draw diagrams from the words p
g
presented to
you, and this is a process of formulation.
PC1221 Fundamentals of Physics 1
Semester1, AY1415
You are n
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
PC1221
1.
(A) 0 00050
0.00050
(B) 0.0050
(C) 5.000
(D) 5000
(E) 0050
Quiz 1
Solutions
Semester1, AY12/13
,
2.
A record player rotates at 50 rpm (revolutions per
minute).
minute) Through how many degr
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
PC1222: Fundamentals of Physics II
Semester I, 2014/15
Revision Lecture III
Kenneth HONG Chong Ming
Office: S130403
Phone: 65162631
Email: [email protected]
Consultation sessions: 1) Monday 111pm
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
1.
For the function:
function f = ladder(tetha,alpha)
w1=2; %m
w2=2; %m
f = (w1/sin(tetha)+(w2/sin(pialphatetha);
For the optimization:
clear;clc;clf
alpha=(45*pi)/180):(pi/90):(135*pi)/180); %angle
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
PC1222 Fundamentals of Physics II
Tutorial 8
1. Refraction of Light I.
When a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely
see the boundary between the opposite w
Innovative College of Science in Information Technology
1
ECON 101

Fall 2014
IT1005 Introduction to Programming with MATLAB
Lab 8 Optimization
The objective of this lab is to help you become familiar with and solve simple
optimization problems. The first problem is a very nice