ADVANCED MATHEMATICS FORM 5 & 6
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 3: LOGIC (I) ~ ADV MATHEMATICS FORM 5
LOGIC
Logic concerns with the study of analysis of methods of reasoning which lead to certain conclusion or statement.
Example
If it rains today we shall play...
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 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 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 ~ 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 1: CALCULATING DEVICES ~ ADV MATHEMATICS FORM 5
CALCULATING DEVICES
Operations with the scientific CALCULATOR
1. Addition
a) 375 + 601 = 976
b) 401 + 2801 + 70120 + 3 = 73, 325
c) 0.0175 +...
TOPIC 10: INTEGRATION | MATHEMATICS FORM 5
INTEGRATION
Integration :Is the reverse process of differentiation, i.e. the process of finding the expression for y in terms of x when given the gradient function.
The...
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 points of a curve f (x)
Where...
TOPIC 1: CALCULATING DEVICES | MATHEMATICS FORM 5
CALCULATING DEVICES
Operations with the scientific calculator
1. Addition
a) 375 + 601 = 976
b) 401 + 2801 + 70120 + 3 = 73, 325
c) 0.0175 +...
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 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) Rule
(ii) A mapping
Example
(iii) A graph of x-y plane.
DOMAIN
-Is...
