Cartesian Product of Sets, Relation, Domain, Range, Inverse of Relation, Types of Relations

Functions, Intervals

Domain

Problem Based on finding Domain and Range

Types of Real function

Odd & Even Function, Composition of Function

Revision – Functions and its Types

Revision – Functions Types

Revision – Sum Related to Relations

Revision – Sums Related to Relations, Domain and Range

Chapter Notes – Relations and Functions

Introduction to Inverse Trigonometry Function, Range, Domain, Question based on Principal Value

Property -1 of Inverse trigo function

Property -2 to 4 of Inverse trigo function

Questions based on properties of Inverse trigo function

Question based on useful substitution

Numerical problems

Numerical problems

Numerical problems , introduction to Differentiation

Revision – Introduction, Some Identities and Some Sums

Revision – Some Sums Related to Trigonometry Identities, trigonometry Functions Table and Its Quadrants

Revision – Trigonometrical Identities-Some important relations and Its related Sums

Revision – Sums Related to Trigonometrical Identities

Revision – Some Trigonometric Identities and its related Sums

Revision – Trigonometry Equations

Revision – Sum Based on Trigonometry Equations

Chapter Notes – Inverse Trigonometric Functions

What is matrix

Types of matrix

Operations of matrices

Multiplication of matrices

Properties of a matrices

Numerical problems

Solution of simultaneous linear equation

Solution of simultaneous / Homogenous linear equation

Chapter Notes – Matrices

Introduction of Determinants

Properties of Determinants

Numerical problems

Numerical problems

Applications of Determinants

Chapter Notes – Determinants

Introduction to continuity

Numerical problems

Numerical problems

Basics of continuity

Numerical problems

Numerical problems

Chapter Notes – Continuity and Differentiability

Introduction to Differentiation

Important formula’s

Numerical problems

Numerical problems

Differentiation by using trigonometric substitution

Differentiation of implicit function

Differentiation of logarthmetic function

Differentiation of log function

Infinite series & parametric function

Infinite series & parametric function

Higher order derivatives

Differentiation of function of a function

Numerical problems

Numerical problems

Lagrange theorem

Rolle’s theorem

Lagrange theorem

Rolle’s theorem

Rate of change of Quantities

Rate of change of Quantities

Rate of change of Quantities

Approximation

Approximation

Chapter Notes – Applications of Derivatives

Introduction

Numerical Problem

Numerical Problem

Numerical Problem

Numerical Problem

Introduction

Numerical Problems

Angle of intersection of two curves

Introduction to Indefinite Integration

Integration by substitution

Numerical problems on Substitution

Numerical problems on Substitution

Integration various types of particular function (Identities)

Integration by parts-1

Integration by parts-2

Integration by parts-2

Integration by parts-2

ILATE Rule

Integration of some special function

Integration of some special function

Integration by substitution using trigonometric

Evaluation of some specific Integration

Evaluation of some specific Integration

Integration by partial fraction

Integration of some special function

Numerical Problems based on partial fraction

Chapter Notes – Integrals

Introduction

Properties of Definite Integration

Numerical problem based on properties

Area under the curve

Area under the curve (Ellipse)

Area under the curve (Parabola)

Area under the curve (Parabola & Circle)

Area bounded by lines

Numerical problems

Area under the curve (Circle )

Chapter Notes – Application of Integrals

Introduction to chapter

Solution of D.E. – Variable separation methods

Solution of D.E. – Variable separation methods

Solution of D.E. – Second order

Homogeneous D.E.

Chapter Notes – Differential Equations

Introduction , Basic concepts , types of vector

Position vector, distance between two points, section formula

Numerical problem

collinearity of points and coplanarity of vector

Direction cosine

Projection , Dot product, Cauchy- Schwarz inequality

Numerical problem (dot product)

Vector (Cross) product , Lagrange’s Identity

Numerical problem (cross product)

Numerical problem (cross product)

Numerical problem (cross product)

Chapter Notes – Vectors

Introduction to 3D, axis in 3D, plane in 3D, Distance between two points

Numerical problems , section formula , centroid of a triangle

projection , angle between two lines

Numerical Problem based on Direction ratio & cosine

locus of any point

Numerical Problem based on locus

Chapter Notes – Three Dimensional Geometry

Angle Between two vectors

Introduction

Introduction to plane , general equation of a plane , normal form

Angle between two planes

Distance of a point from a plane

Introduction to straight line , symmetric form , Angle between the lines

Numerical Problem

Angle between two lines

Unsymmetric form of Line

Numerical problem , perpendicular distance of a point from a line

Numerical Problem

Numerical problem , Condition for a line lie on a plane

Revision – Introduction, Equation of Line, Slope or Gradient of a line

Revision – Sums Related to Finding the Slope, Angle Between two Lines

Revision – Cases for Angle B/w two Lines, Different forms of Line Equation

Revision – Sums Related Finding the Equation of Line

Revision – Sums based on Previous Concepts of Straight line

Revision – Parametric Form of a Straight Line

Revision – Sums Related to Parametric Form of a Straight Line

Revision – Sums Based on Concurrent of lines, Angle b/w Two Lines

Revision – Different condition for Angle b/w two lines

Revision – Sums Based on Angle b/w Two Lines

Revision – Equation of Straight line Passes Through a Point and Make an Angle with Another Line

Revision – Sums Based on Equation of Straight line Passes Through a Point and Make an Angle with Another Line

Revision – Sums Based on Equation of Straight line Passes Through a Point and Make an Angle with Another Line

Revision – Finding the Distance of a point from the line

Revision – Sum Based on Finding the Distance of a point from the line and B/w Two Parallel Lines

Vector and Cartesian equation of a straight line

Angle between two straight line

Numerical problems

Shortest Distance between two lines

Introduction to L.P.

Numerical Problems

Numerical Problems

Numerical Problems

Chapter Notes – Linear Programming

Introduction to probability

Types of events

Numerical problems

Conditional probability

Numerical problems

Numerical problems (conditional Probability)

Numerical problems (conditional Probability)

Numerical problems (conditional Probability)

Numerical problems (conditional Probability)

Bayes’ Theorem

Numerical problem ( conditional Probability)

Numerical problem ( Baye’s Theorem)

Numerical problem ( Baye’s Theorem)

Numerical problem ( Baye’s Theorem)

Mean and Variance of a random variable

Mean and Variance of a random variable

Mean and Variance of a random variable

Mean and Variance of a discrete random variable

Numerical problem

Bernoulli’s Trials & Binomial Distribution

Numerical problem

Mean and Variance of Binomial Distribution

Chapter Notes – Probability

Introduction to limits

Numerical problems

Rationalization

Limits in trigonometry

Introduction to partial fraction

Partial Fractions 02

Partial Fractions 03

Improper partial fraction