# Further Mathematics

## STATISTICS | MEASURES OF CENTRAL TENDENCY

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

## SURDS

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

## BINARY OPERATIONS: IDENTITY AND INVERSE ELEMENTS

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

## BINARY OPERATIONS: BASIC CONCEPT OF BINARY OPEATIONS

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

## OPERATION OF SET AND VENN DIAGRAMS

OPERATION OF SET AND VENN DIAGRAMS See also BASIC CONCEPT OF SET LOGARITHM INDICIAL AND EXPONENTIAL EQUATIONS INDICES Trigonometric Identities and graphs

## BASIC CONCEPT OF SET

BASIC CONCEPT OF SET See also LOGARITHM INDICIAL AND EXPONENTIAL EQUATIONS INDICES Trigonometric Identities and graphs Graphs of Trigonometric Function

## LOGARITHM

LOGARITHM – SOLVING PROBLEMS BASED ON LAWS OF LOGARITHM See also INDICIAL AND EXPONENTIAL EQUATIONS INDICES Trigonometric Identities and graphs Graphs of Trigonometric Function Logical reasoning

## INDICIAL AND EXPONENTIAL EQUATIONS

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

## INDICES

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

## Trigonometric Identities and graphs

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

Graphs of Trigonometric Function The graph of the followings will be considered (a) y = sinÑ³, 0â—¦ â‰¤ Ñ³ â‰¤ 360â—¦ (b) y = cosÑ³, 0â—¦ â‰¤ Ñ³ â‰¤ 360â—¦ (c) y = tanÑ³, 0â—¦ â‰¤ Ñ³ â‰¤ 360â—¦ The graph of y = sinÑ³, Ñ³â—¦ â‰¤ Ñ³ â‰¤ 360â—¦ On the graph sheet, draw

## Logical reasoning

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. Â  Example 1 The following are statements: (a)

## Cubic equations and their factorization

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

## Tangents and Normal to Curves

Tangents and Normal to Curves For any curve, Â 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

FINDING QUADRATIC EQUATION GIVEN SUM AND PRODUCT OF ROOTS CONDITION FOR EQUAL ROOTS, REAL ROOTS AND NO ROOT See also FRICTION STATICS STATICS STATICS PROBABILITY DISTRIBUTION