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Teacher

Manoj Chauhan

Videos & Materials

Definition

Domain, Co-domain and Range of function

Important types of function

Doubt Clearing Session

Identical, Implicit and Explicit function

Classification of functions

Doubt Clearing Session

Basic Transformation on graph

PNC based Problem, Functional equations

Composite function, Inverse of function

Even and odd ,Periodic function

Doubt Clearing Session

Introduction, Domain and range of ITF

Graph of ITF

Properties 1,2,3

Doubt Clearing Session

Properties 4,5,6,7

Simplification & Transformation of ITF

Inequations involving ITF

Doubt Clearing Session

Summation of series

Definition of Limit

Indeterminant form

Fundamental Theorems on Limits

Doubt Clearing Session

Methods to Evaluate Limit

Standard Limits

Sandwich Theorem

Doubt Clearing Session

Evaluation of Trigonometric limits

Limits of the Various Form

L'hospital's rule for evaluating limits

Doubt Clearing Session

Limit of exponential function

Limit using series expansion

Miscellaneous examples

Doubt Clearing Session

Continuous Functions

Continuity in an interval

Removable type of discontinuities

Doubt Clearing Session

Non-Removable type of discontinuities

Intermediate value theorem

Continuity of special types of function

Doubt Clearing Session

Meaning of Derivative

Existence of Derivative at x = a

Theorem of differentiability

Doubt Clearing Session

Vertical tangent

Geometrical interpretation

Derivability over An Interval

Doubt Clearing Session

Important notes

Differentiability by differentiation

Methods of differentiation

Integration as anti-derivative

Standard Integration

Doubt Clearing Session

Substitution method

Integration by Parts

Integration of Irrational Function and Partial Fraction

Doubt Clearing Session

Integration of trigonometric function

Definite integral as a limit of sum

Doubt Clearing Session

Some Standard Forms

Periodicity of Integral Functions

Gamma Function and Derivative of Definite Integration

Doubt Clearing Session

Leibnitz rule

Equation of tangent & normal

Important points

Parametric equation

Estimation of definite integral

Doubt Clearing Session

Angle of intersection of two curves

Length of tangent, subtangent, normal and subnormal

Rate Measure, Approximation

Doubt Clearing Session

Monotonic function

Monotonicity of a function at a point

LMVT Theorem

Doubt Clearing Session

Test for local maximum / minimum, when f(x) is differentiable

Nth Derivative Test

Concept of global maximum/minimum

Doubt Clearing Session

Different Graphs of the cubic

Problems on shortest distance between two curves

Polar co-ordinates

Doubt Clearing Session

Order and Degree of Differential Equation

General and particular solutions

Variables Separable

Doubt Clearing Session

Homogeneous Equations

Linear Differential Equations

Exact differentials

Doubt Clearing Session

Introduction

Area Based on Geometrical Figures

Area Using Integration

Doubt Clearing Session

Different cases of bounded area

Standard area to remembered

Shifting origin

Doubt Clearing Session

Area bounded by inverse of a function

Curve tracing

Definitions, types of vector

Doubt Clearing Session

Section formula

Linear combination

Doubt Clearing Session

Vector equation of a line, collinearity of three point

Scalar product of two vectors

Vector product of two vectors

Doubt Clearing Session

Shortest distance between two lines, Scalar triple product

Vector triple product

Direction cosines, Direction ratios

Doubt Clearing Session

Angle between planes, Angle between a line and a plane

Angle between two lines, Planes

Family of planes

Doubt Clearing Session

Introduction, Geometrical representation of a complex number

"Conjugate & Modulus of Complex Number"

Doubt Clearing Session

Argument of Complex Number

Algebra of complex number

Cartesian Form/Algebraic Form

Doubt Clearing Session

Properties of conjugate & modulus of complex Numbers

Rotation of a Complex Number

"De-Moivre’s Theorem, Cube Roots and nth Roots of Unity"

Trigonometric Form / Polar Form, Exponential Form

Doubt Clearing Session