ADVANCED MATHEMATICS FORM 5 & 6
ADVANCED MATHEMATICS FORM 5 & 6
TOPIC 9: DIFFERENTIATION ~ ADV MATHEMATICS FORM 5
DIFFERENTIATION
DERIVATIVES
Slope of a curve
A curve has different slopes at each point. Let A, B, and C be different points of a curve f...
TOPIC 6: ALGEBRA ~ ADV MATHEMATICS FORM 5
ALGEBRA
Indices (law of exponents)
Three basic rules including the Indices are:
i) am x an = am + n
ii) am ÷ an = am...
TOPIC 2: SETS | MATHEMATICS FORM 5
SET THEORY
The word set is used to denote a collection of well defined objects
Set are denoted by capital letters e.g. A, B, C,...
TOPIC 7: TRIGONOMETRY (I) ~ ADV MATHEMATICS FORM 5
TRIGONOMETRY
Trigonometry is the study of angle measurement and functions that depends on angle.
The fundamental trigonometric ratios are
Sine (sin)
Cosine (Cos)
Tangent (Tan)
Others are cosecant (cosec)...
TOPIC 8: LINEAR PROGRAMING ~ ADV MATHEMATICS FORM 5
LINEAR PROGRAMING
Is a branch of mathematics which enables one to solve problems which either the greatest or minimum/least value of a certain quantity is...
TOPIC 3: LOGIC (II) ~ ADV MATHEMATICS FORM 5
LOGIC (II)
SENTENCE HAVING A GIVEN TRUTH TABLE
Example.1 Find a sentence which has the following truth table
P
Q
–
T
T
T
T
F
T
F
T
T
F
F
F
Step: 1. Mark lines which...
TOPIC 5: FUNCTION AND RELATION | MATHEMATICS FORM 5
TOPIC 5: FUNCTION AND RELATION | MATHEMATICS FORM 5
FUNCTIONS
Is the corresponding between two objects. E.g older than. Smaller than ect.
Relation can be thought as:
(i) ...
TOPIC 7: TRIGONOMETRY(II) ~ ADV MATHEMATICS FORM 5
TRIGONOMETRY(II)
iii) Consider
=
But =
=
=
Alternative: Using =
Dividing by cos3θ numerator and denominator
Applications of the double and triple formulae
A. Proving Identities
Examples: Prove the following...
TOPIC 4: COORDINATE GEOMETRY I ~ ADV MATHEMATICS FORM 5
COORDINATE GEOMETRY
-Is the conic section whose eccentricity is equal to zero.
-Coordinate geometry is the study of representation of geometry figure either on...
TOPIC 9: DIFFERENTIATION | MATHEMATICS FORM 5
TOPIC 9: DIFFERENTIATION | MATHEMATICS FORM 5
DERIVATIVES
Slope of a curve
A curve has different slopes at each point. Let A, B, and C be different...
