Everything you must know to achieve maximum marks on paper
1 Including an analysis of the proofs that have been asked
and the best approach to getting the best rests.
Advice
as to which questions to attempt and when.
What is the best kept secret on paper!. What questions can
you safely leave out?
Induction
Having problems with induction these files contain everything
you wanted to know about induction but were afraid to Ask!
Solutions
to the 2000 paper fully explained
See
how  ,
makes proving the product rules and quotient rule in calculus
a lot easier
Find
out what is the best kept secret on the Higher Maths Paper
1.
Find
out which topics in your text books are not on the course.
Aalgebra
See
the word on algebra.
Sequence
& Series
|
Higher
Level
Differential
Calculus Differentiation From First Principals using
 (delta x)
There
are several ways of differentiating from first principals
Method (1) uses
This
method works very well except when we have to show the product
and quotient rules from first principals .
A
better way is to use
 and
 instead
of h
and f(x+h) .
is
a small change in the value of x while
 is
a small change in the value of y ,and
 is
the average change in y with respect to x, and the
The
method involves 5 steps (1) y = f(x) (2) .
(3)Take line (1) from line (2) and
Simplify
(4) Divide everything by
 (5)
Let
Exxample
1 if Y = u.v
find dy/dx from first principals
Ex
2 if y = u/v find dy/dx from first principals .
Note
as above
and
This method and the previous method using
are a lot more
straight forward than using h as
no special ' moves
' need be remembered
Note
you can differentiate all the required functions using this
method it is
perfectly acceptable in the exam .
|
What
you "must know" to achieve maximum marks.
Advice
as to which questions to attempt and when.
We
analysise the proofs which have been asked in the last 6
years.
Solutions
to the 2000 paper fully explained.
Coordinate Geometry
See
our thoughts on the Coordinate Geometry of the line and
circle.
Here
is an interesting proof
for Cos(A-B) using
vectors.
Topics
removed from the course in 1994 which are still being though
6 years later!
Transformations
A
note on linear transformations
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