(I) SETS AND FUNCTIONS

(1DEFINITION OF SET

(2) BUILDING OF SET

(aRoster or Tabulation Method,

(b) Set Builder Method,

(3) TYPES OF SET

(aTypes Of Sets,

(b) Sets Of Number,

(4) INTERVALS

(aIntervals,

(5) SUBSETS

(aSubsets,

(b) Some Important Theorem On Subsets,

(c) Number Of Subsets Of a Given Set,

(6) SOME IMPORTANT TYPES OF SET

,

(﻿b) Universal Sets,

(7) DIAGRAM OF SET

(aVenn Diagram,

(8) ﻿OPERATION ON SET﻿,

(a) Union Of Sets,

(i) Properties Of Union Sets,

(b) Intersection Sets,

(c) Difference Of Set,

(i) Properties Of Difference Of Sets,

(iiSymmetric Difference Of Sets,

(d) Complement Of Sets,

(i) Laws Of Complement Of Sets,

(9) CARDINAL NUMBER

(aCardinal Numbers,

(10PROBLEM AND SOLUTION

(aProblem & Solution of Sets,

(11) ALGEBRA OF SET

(aAlgebra Of Sets,

(II) RELATION & FUNCTION

(1) CARTESIAN PRODUCT

(a) Ordered Pairs,

(b) Equality Of Ordered Pairs,

(c) Cartesian Products,

(d) Cartesian Products - Problem & Solution,

(e) Generalization Of Cartesian Product Of More Than Two Sets,

(f) Graphical Representation Of Cartesian Product,

(2) RELATION

(a) Intuitive & Non-Mathematical Function,

(b) Relation & Association Between Two Sets,

(c) The Notation xRy,

(d) Relation as a Sub-set of the Cartesian Product,

(eInverse Of a Relation,

(3) FUNCTION

(a) Concept Of Function,

(b) Definition Of Function,

(c) Function as a Type Of Mapping,

(d) The Terms Value & Image Of Function,

(e) Identifying Domain & Range,

(f) Vertical Line Test For a Function,

(g) Types Of Function,

(i) One-One Function (Injective Function),

(ii) Many-One Function,

(iii) One-One-Onto Function (Bijective Function),

(A) Problem & Solution - One-One-Onto Function,

(h) Algebraic Operation On Function,

(iReal Value Function,

(j) Classification Of Function,

(i) Algebraic Function,

(iiTranscendental Functions,

(iii) Special Function,

(k) Undefined Function,

(l) Further Discussion On The Domain Of A Function,

(i) Tips For Finding The Domain Of A Function

(m) Further Discussion On The Range Of A Function,

2) TRIGONOMETRY

3) ALGEBRA

4) COORDINATE GEOMETRY

5) CALCULUS

6) STATISTICS AND PROBABILITY

7) MEASURES OF DISPERSION

8) CONIC SECTION

9) INTRODUCTION TO 3-DIMENSIONAL GEOMETRY

10) STATISTICS