Chapter 1
Limits and Continuity
1.1
Limits
The limits is the fundamental notion of calculus. This underlying concept is the thread
that binds together virtually all of the calculus you are about to study.
In this section, we develop the notion of limit us
Chapter 5
Applications of Definite Integral
5.1
Area Between Two Curves
In this section we use integrals to find areas of regions that lie between the graphs of
two functions.
Consider the region that lies between two curves y = f (x) and y = g(x) and bet
Chapter 6
Techniques of Integration
6.1
Integration by Parts
Every differentiation rule has a corresponding integration rule. For instance, the Substitution Rule for integration corresponds to the Chain Rule for differentiation. The rule
that corresponds
Chapter 2
Differentiation
2.1
Tangent Lines and Rates of Change
2.1.1
Tangent Lines
If a curveC has equation y = f (x) and we want ti find the
tangent to C at the point
P a, f (a) , then we consider the nearby point Q x, f (x) , where x 6= a, and compute
Chapter 3
Applications of Differentiation
3.1
Related Rates
In this section we shall study related rates problems. In such problems one tries to
find the rate at which some quantity is changing by relating it to other quantities whose
rates of change are
Chapter 7
Infinite Sequence and Series
7.1
Sequences
A sequence can be thought of as a list of numbers written in a definite order:
a1 , a2 , a3 , a4 , . . . , an , . . .
The number a1 is called the first term, a2 is the second term, and in general an is
64
MA111: Prepared by Asst.Prof.Dr. Archara Pacheenburawana
3.3
Maximum and Minimum Values of a Function
Some of the most important applications of differential calculus are optimization problems, in which we are required to find the optimal (best) way of
Chapter 4
Integration
4.1
Antiderivatives; The Indefinite Integral
Antiderivatives
Definition 4.1.
A function F is called an antiderivative of f on an interval I if F 0 (x) = f (x)
for all x in I.
For instance, let f (x) = x2 . It isnt difficult to discov
mrn:armal1:t:.n_:;ra[myr
Aim
Tu- huemgate- the uee I:If its-Lending mmmalngraw in sepemling mtlstirlme in a mixture.
The-naryr
Tau may have m: urmere selds. which are 5ehhle. tIEl-EE'Fl-E'Etll mlstuat-m arses.
fan- example. +1me hall-enthJres nf :elmred n
Keywords
Match the word to its meaning using
arrows
Atom
Two or more different atoms that are
chemically joined
Element
Two or more atoms chemically joined
Compoun
d
Mixture
Molecule
The smallest particle
Made of only one type of atom
Two or more differen
Proteins
Enzymes as Biological
Catalysts
Increase reaction rates by
over 1,000,000-fold
Two fundamental
properties
Increase the reaction rate
with no alteration of the
enzyme
Increase the reaction rate
without altering the
equilibrium
Reduce the activatio
Separating mixtures
Cut out and stick the correct picture with its
name and what it separates into your book
Chromatograph
y
Separates liquids with
different boiling points
Distillation
Separates a liquid and solid
by boiling off the liquid
Filtration
Sep
Chapter 1
The Science of Chemistry
Chemistry
study of the composition,
structure, and properties of matter and
the changes it undergoes
Chemical any substance that has a
definite composition
Made of the same stuff no matter where it
comes from
Chemical
C1 - The Particulate Nature of
Matter
(review)
C2 Experimental Techniques.
On your whiteboards:
1. Forge the signature below
2. How could you identify a
forged signature?
3. Make a note of the potential
differences of the ink and paper
of an original and
Separation techniques &
mixtures
CHOOSE JUST ONE ANSWER
A, B, C, OR D
Question 1
Which of these solids dissolves in water?
Sand
chalk
Salt
Sulphur
Wrong Answer!
salt
Question 2
When can filtration be used?
To separate a
solid from a
liquid
To separate
two
On your whiteboards:
1. Forge the signature below
2. How could you identify a
forged signature?
3. Make a note of the potential
differences of the ink and paper
of an original and a forged
signature
A forged signature might be identified by:
1. The signa
e
m
o
c
l
e
W
!
n
e
r
d
l
i
h
c
y
e
c
S pa
W
ee
ee
e!
n
o
o
b
a
B
m
l
m
e
e
l
b
b
o
o
r
r
p
sp
n
fa
s
l
o
n
e
o
s
o
y
M
o
m
Ki
t
n
o
M
a
g
i
B
K
o
ve
t
I
m
I
g
d
n
n
i
n
a
t
,a
B
an
n
w
o
o
m
b
a nd
I
a
u
e
ee
W
P
ng
a
B
the ders
e
a
v
v
o
I l ce In
a
Sp
Do Now: Balance the following equations
Lesson
3:
Mixtures
11/25/16
Key Words:
WALT (We are learning to):
Separation
techniques
WILF (What I am looking for):
Develop: Define a mixture
Secure: Describe each technique
of separating mixtures
Extend: Explain
Chemistry GCSE practicals guide for England
From September 2016 there are new practical requirements for GCSE science in England and Wales.
Are you concerned about introducing one of the new experimental techniques? or just looking for an interesting way
Iodine clock reaction
Demonstration
This is the hydrogen peroxide/ potassium iodide clock reaction. A solution of hydrogen peroxide is mixed with one containing
potassium iodide, starch and sodium thiosulfate. After a few seconds the colourless mixture su
Iodine Clock
An eye-catching colour change demonstration in which a colourless solution suddenly changes
to a dark-blue after an amount of time. It is known as the "iodine clock" as the colour change
doesn't happen straight away. The demonstration is part
Iodine clock reaction
Demonstration
This is the hydrogen peroxide/ potassium iodide clock reaction. A solution of hydrogen peroxide is mixed with one containing
potassium iodide, starch and sodium thiosulfate. After a few seconds the colourless mixture su
Iodine clock reaction
Demonstration
This is the hydrogen peroxide/ potassium iodide clock reaction. A solution of hydrogen peroxide is mixed with one containing
potassium iodide, starch and sodium thiosulfate. After a few seconds the colourless mixture su
Iodine clock reaction
63
This is the hydrogen peroxide/ potassium iodide clock reaction.
A solution of hydrogen peroxide is mixed with one containing potassium iodide, starch
and sodium thiosulfate. After a few seconds the colourless mixture suddenly turn
Energetics
(a)
Explain that some chemical reactions are accompanied by energy
changes, principally in the form of heat energy; the energy changes
can be exothermic (H, negative) or endothermic
(b)
Explain and use the terms:
(i)
Enthalpy change of reaction
Shape of orbitals
s-orbital
p-orbitals
Electrons can only occupy so-called atomic orbitals with well defined
energy levels corresponding to the principal quantum number, n. The
lowest level will have n = 1, the next n = 2, and so on.
Electrons must always
Why is Fluorine more
electronegative than Carbon?
Electronegativity of C: 2.5
Electronegativity of F: 4.0
Why is fluorine more electronegative than carbon?
A simple dots-and-crosses diagram of a C-F bond is perfectly adequate to explain it.
The bonding
1021 - - -
Medical Journal of Babylon-Vol. 9- No. 4 -2012
Extraction, Purification and Characterization of a Lectin from
Phaseolus vulgaris L. cv. White Seeds (White Kidney Bean)
Mohammed A. Jebor
Yasser H. Jalil
Biology Dept. College of Science, Univers