Mathematics

• Sets

• Set Theory

• TYPES OF SETS

• VENN DIAGRAMS

• UNION & INTERSECTION OF TWO SETS, COMPLEMENT OF A SET

• Functions

• ORDERED PAIR, CARTESIAN PRODUCT OF SETS ,DEFINITION OF RELATION

• Relations and its types

• DOMAIN , CO-DOMAIN AND RANGE OF RELATION

• DEFINITION OF FUNCTION

• DOMAIN , CO-DOMAIN AND RANGE OF FUNCTION

• REAL VALUED FUNCTION

• CONSTANT FUNCTION

• ZERO FUNCTION

• IDENTITY FUNCTION

• SIGNUM FUNCTION

• POLYNOMIAL FUNCTION

• EXPONENTIAL FUNCTION

• LOGARITHMIC FUNCTION

• GREATEST INTEGER FUNCTION

• MODULUS FUNCTION

• SUM, DIFFERENCE, PRODUCT & QUOTIENTS OF FUNCTION

• Complex Numbers

• Introduction to the Complex number

• Algebra of two complex numbers

• The square root of a complex number

• Argand plane and Polar representation

• The modulus and argument of a complex number

• Binomial Theorem

• Binomial Theorem

• Pascal’s Triangle

• General and Middle terms

• Sequence And Series

• Introduction to sequence

• Introduction to series

• Arithmetic progression and Arithmetic mean

• Geometric progression and geometric mean

• Relation between A.M and G.M

• Sum to n terms of special cases

• Permutations And Combinations

• Fundamental principle of counting

• Factorial Notation

• Permutations

• Combinations

• Determinants And Matrices

• DETERMINANTS AND MATRICES

• Determinant of a 3*3 matrix

• Properties of determinants

• Minors and co-factors

• Notation and order of Matrices

• Algebra of matrices

• Adjoint of a Matrix

• Solving system of equations

• Limit

• Limits

• Algebra of limits

• Limits of polynomial and rational function

• Limits of trigonometric functions

• Derivatives

• Derivatives

• Algebra of derivative of function

• Derivative of polynomials and trigonometric functions

• Integration

• Integration Basic Definition

• Properties of definite integral

• Integration By Substitution Method

• Integration Using Trigonometric Identity

• Integrals Of Some Particular Functions

• Integration By Partial Fractions

• Integration By Parts Rule

• Integrals Of Some Type

• Definite Integrals

• Definite integrals definition

• Evaluation Of Definite Integral By Substitution

• Some Properties Of Definite Integrals

• Differential equation

• Currently, there are no topics in this unit.



.