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