Further Mathematics

Logical reasoning Statements A statement in a logical context is a declaration, verbal or written that is either true or false but not both. A true statement is said to have a truth value T, while a false statement is said to have a truth value F.   Example 1 The following are statements: (a)

INDICES See also SIMPLE EQUATION AND VARIATION SQUARES OR POWERS OF NUMBERS LOGARITHMS OF WHOLE NUMBERS INDICES STANDARD FORM AND APPROXIMATION

STATICS See also PROBABILITY DISTRIBUTION PROBABILITY DISTRIBUTION FURTHER MATHEMATICS SSS 3 SCHEME OF WORK FURTHER MATHEMATICS SS 1 SCHEME OF WORK

Factorization of polynomial See also Polynomials Tangents and Normal to Curves QUADRATIC EQUATION FRICTION STATICS

INDICIAL AND EXPONENTIAL EQUATIONS See also Trigonometric Identities and graphs Graphs of Trigonometric Function Logical reasoning Cubic equations and their factorization Factorization of polynomial

STATISTICS: MEASURES OF CENTRAL TENDENCY See also SURDS BINARY OPERATIONS OPERATION OF SET AND VENN DIAGRAMS BASIC CONCEPT OF SET LOGARITHM

PROBABILITY DISTRIBUTION See also FURTHER MATHEMATICS SSS 3 SCHEME OF WORK FURTHER MATHEMATICS SS 1 SCHEME OF WORK

PROBABILITY DISTRIBUTION (CONTINUATION) See also PROBABILITY DISTRIBUTION FURTHER MATHEMATICS SSS 3 SCHEME OF WORK FURTHER MATHEMATICS SS 1 SCHEME OF WORK

BINARY OPERATIONS: BASIC CONCEPT OF BINARY OPEATIONS CONTENT Concept of binary operations, Closure property Commutative property Associative property and Distributive property. Definition Binary operation is any rule of combination of any two elements of a given non empty set. The rule of combination of two elements of a set may give rise to another element

STATICS – CONTINUATION See also STATICS STATICS PROBABILITY DISTRIBUTION PROBABILITY DISTRIBUTION FURTHER MATHEMATICS SSS 3 SCHEME OF WORK

iven a non- empty set S which is closed under a binary operation * and if there exists an element e € S such that a*e = e*a = a for all a € S, then e is called the IDENTITY or NEUTRAL element. The element is unique.

SURDS See also BINARY OPERATIONS OPERATION OF SET AND VENN DIAGRAMS BASIC CONCEPT OF SET LOGARITHM INDICIAL AND EXPONENTIAL EQUATIONS

Tangents and Normal to Curves For any curve,  is the gradient function. At any point on the curve, at that point, gives the gradient of the tangent at the point. The derivation of y with respect to x at x = x1 is denoted. x = x1 Recall that the equation of the line of

Trigonometric Identities and graphs of inverse trigonometric ratios See also Graphs of Trigonometric Function Trigonometric functions Logical reasoning Cubic equations and their factorization Factorization of polynomial

Graphs of Trigonometric Function The graph of the followings will be considered (a) y = sinѳ, 0◦ ≤ ѳ ≤ 360◦ (b) y = cosѳ, 0◦ ≤ ѳ ≤ 360◦ (c) y = tanѳ, 0◦ ≤ ѳ ≤ 360◦ The graph of y = sinѳ, ѳ◦ ≤ ѳ ≤ 360◦ On the graph sheet, draw

STATICS – CONTINUATION See also STATICS PROBABILITY DISTRIBUTION PROBABILITY DISTRIBUTION FURTHER MATHEMATICS SSS 3 SCHEME OF WORK FURTHER MATHEMATICS SS 1 SCHEME OF WORK

FRICTION See also STATICS STATICS STATICS PROBABILITY DISTRIBUTION PROBABILITY DISTRIBUTION

Cubic equations and their factorization, graphs of cubic equations See also Factorization of polynomial Polynomials Tangents and Normal to Curves QUADRATIC EQUATION FRICTION