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Faculty of GATE. Top Educator - GATE (Engineering Mathematics). 

Sanjay Yadav

This course is exclusively designed for the GATE Aspirants,  in this course entire calculus portion will be covered.  We will solve every question from calculus portion with expected and Previous year question.  This course will de explained in Hindi

GATE (Graduate Aptitude Test in Engineering) 2020 & 2021 complete preparation with best educators. Know about the detailed syllabus, best books, exam pattern and dates, previous year question papers a

GATE - Iconic Pro

Hindi

(Hindi) A Complete Course on Calculus: GATE

Calculus

Engineering Mathematics

GA, GS and Mathematics

GATE & ESE - ME & CH

GATE, ESE and IIT-JAM

Ace the toughest competitive and government exams in India 

Test Preparation

In this lesson we have covered the course overview part and understand about the strategy to prepare the calculus. We will also understand about basic introduction to limit.

Course Overview (Hindi)

In this lesson we have covered the introduction to limit and when does the limit exist for a given function.  We have also understood about the left handed limit and right handed limit.  The concept of existence of limit is also covered in this lesson with a numerical example.

Introduction to Limit (in Hindi)

In this lesson we will understand about the concept of Existence of limit for Greatest Integer Function and Fractional Part Function. We will analyze why limit does not exist for Greatest Integer Function and fractional part function at all integer.

Existence of Limit (in Hindi)

In this lesson we will solve the numerical based on the concept of the existence of limit,  and also understand the behavior of unbounded function and right handed limit.

Limit : GATE Problem Series SET 1(in Hindi)

In this lesson we will understand about basic properties of limit and also understand factoring method,  conjugate method, and substitution method to solve the problems on limit.

Properties of Limit (in Hindi)

In this lesson we will understand the concept of limit Inderminate form and also understand the concept of L' Hospitals Rule. We will solve various examples of Limit inderminate form utilizing L' Hospitals Rule.

Limit Indeterminate Form (in Hindi)

In this lesson we will understand the concept how to address the problem when the limit appraches to infinity.  We will discuss all the possible cases and solve the numerical as well.  At the end of the lesson we will revise all the important results in limit which is important to solve the numerical.

Limit approaches to Infinity (in Hindi)

In this lesson we will solve the PYQs which appeared in GATE examination from the concept of Limit.  We will also revise all the concept that we learnt from the previous lesson.

Limit : GATE Problen Series Set 2 (in Hindi)

Limit : GATE Problem Series Set 3 (in Hindi)

Limit : GATE Problem Series Set 4 (in Hindi)

In this lesson we will understand about the concept of one sided limit and test the behaviour of the important function.  We will also understand  concept of continuity and how to test continuity at a given point.

Introduction to Continuity (in Hindi)

In this lesson we will understand the different type of discontinuity and analyze with respect to graph.  At the end of the lesson we will also understand about some important continuous function.

Type of Discontinuity (in Hindi)

In this lesson we will understand about the continuity at an open and closed interval respectively. We will also test  the existence of limit and continuity for  Piecewise linear function.

Piecewise Linear Function (in Hindi)

In this lesson we will discuss the numericals based on the conept of continuity.  We will also test the three fold conditions while checking the continuity behaviour for that function at that point.

Continutiy : GATE Problem Series SET 5 (in Hindi)

In this lesson we will solve the home work problem and then understand the concept of differentiability. We will also learn if a function is differentiable at a given point,  then it should be continuous at that point.

Concept of Differentiability : Part 1(in Hindi)

In this lesson we will understand following concept:  

1. When a function is not continuous at a given point,  then it is always not differentiable at that point. 
 
2. When a function is diffrentiable at the given point,  then it is always continuous at that point. 

3. When a function is continuous at a given point,  then it is not gurantee that it will be differentiable at that point.

Concept of Dfferentiability: Part 2 (in Hindi)

In this lesson we will solve the numerical based on the concept of differentiability which is very important for the GATE examination.

Differentiability: GATE Problem Series SET 6 (in Hindi)

Differentiability: GATE Problem Series SET 7 (in Hindi)

Differentiability : GATE Problem Series SET 8 (in Hindi)

In this lesson we will understand the basic introduction about the maxima and minima,  concept of stationary point and turning point.  We will also understand about the local maxima and local minima

Introduction to Maxima and Minima (in Hindi)

In this lesson we will understand how to identify the local maxima and local minima for the given function using first derivative test, We will also understand about the concept of point of inflection.

Maxima and Minima: 1st Derivative Test (in Hindi)

In this lesson we will understand how to identify the local maxima and local minima for the given function using second derivative test, We will also solve the numerical using the second derivative test.

Maxima and Minima: 2nd Derivative Test (in Hindi)

In this lesson we will solve numerical based on concept of Maxima and Minima using second derivative test.  We will also understand the concavity test to understand the point of inflection.

Point of Inflection : Concavity Test Part 1 (in Hindi)

In this lesson we will understand the concept of point of inflection using the concavity test.

Point of Inflection: Concavity Test Part 2 (in Hindi)

In this lesson we will solve the numerical based on the concept of concavity test and find the inflection point.

Concavity Test: GATE Problem Series SET 9 (in Hindi)

In this lesson we will solve the numerical on topic Maxima and Minima and utilize the concept that we have learnt so far while solving the problem.

Maxima and Minima : GATE Problem Series SET 10 (in Hindi)

Maxima and Minima : GATE Problem series SET 11 (in Hindi)

Maxima and Minima : GATE Problem Series SET 11 (in Hindi)

In this lesson we will understand the concept of Maxima and Minima for a two variable function. We will also solve numerical based on this concept.

Maxima and Minima : Two Variables (in Hindi)

In this lesson we will understand how to solve the Maxima and minima problem for a two variables function.

Maxima and Minima : GATE Problem Series SET 12 (in Hindi)

In this lesson we will understand how to solve the Maxima and Minima problem for an application based question.

Maxima and Minima: GATE Problem Series SET 13 (in Hindi)

In this lesson we will understand about the concept of Rolle's theorem and how to solve numerical on Rolle's theorem.

Mean Value Theorem : Rolle's Theorem (in Hindi)

In this lesson we will solve the numerical based on the concept of Rolle's theorem and as well as, we will also understand the concept of Lagrange's mean value theorem.

Lagrange's Mean Value Theorem (in Hindi)

In this lesson we will solve the numerical based on the concept of Lagrange's mean value theorem.

Mean Value Theorem: GATE Problem Series SET 14 (in Hindi)

In this lesson we will understand the concept of Cauchy's mean value theorem.  We will also try to visualize the concept with the help of Graph.

Cauchy's Mean Value Theorem (in Hindi)

In this lesson we will understand the approach to solve the numerical on Cauchy's Mean Value Theorem.

Cauchy's Mean Value Theorem : GATE Problem Series SET 15 (in Hindi)

In this lesson we will understand the basic concept about the Taylor Series.

Concept of Taylor Series : Part 1(in Hindi)

In this lesson we will understand about the concept of Taylor series and solve the numerical as well.

Concept of Taylor Series: Part 2 (in Hindi)

Taylor Series: GATE Problem Series SET 16 (in Hindi)

In this lesson we will solve the numericals on Taylor series and understand the concept of Taylor series in more detail.

Taylor Series: GATE Problem Series SET 17 (in Hindi)

Taylor Series: GATE Problem Series SET 18 (in Hindi)

Taylor Series: GATE Problem Series SET 19 (in Hindi)

In this lesson we will solve the numerical based on the topic of Mean Value Theorem.

Mean Value Theorem: GATE Problem Series SET 20 (in Hindi)

In this lesson we will understand about the basic concept of partial derivatives  and how it is different from the normal differentiation.  We will also understand the concept of first and second order partial derivatives.

Partial Derivatives : Part 1 (in Hindi)

In this lesson we will understand about the basic concept of partial derivatives and how to find the higher order partial derivatives

Partial Derivatives: Part 2 (in Hindi)

In this lesson we will understand about the concept of Homogenous function and also understand how to find the degree for the homogenous function.

Homogenous Function (in Hindi)

In this lesson we will understand about the concept of Explicit and Implicit function.  We will also understand how to find the first and  second order derivative for the implicit function using partial derivatives.

Explicit and Implicit Function (in Hindi)

In this lesson we will solve the numericals on the partial derivatives and understand the concept in more detail.

Partial Derivatives: Gate Problem Series SET 21 (in Hindi)

Partial Derivatives: GATE Problem Series SET 22 (in Hindi)

In this lesson we will understand the method to write the chain rule equation for any multi variable function.

Multivariable Chain Rule: Part 1 (in Hindi)

In this lesson we will understand how to write the chain rule equations for the multivariable function and we will also solve the numerical to clear the concept in more detail.

Multivariable Chain Rule: Part 2 (in Hindi)

In this lesson we will understand how to solve the numerical on partial derivatives for the multivariable function using the chain rule equation.

Partial Derivatives: GATE Problem Series SET 23 (in Hindi)

In this lesson we will understand about the basic concept of Euler's Theorem and we will also focus how to solve the numerical for the algebraic and non algebraic function.

Euler's Theorem (in Hindi)

In this lesson we will understand about the application of Euler's Theorem.  We will also solve the numerical based on the Euler's Theorem

Application of Euler's Theorem (in Hindi)

In this lesson we will solve the numerical based on the concept of Partial Derivatives.  We will also solve the GATE PYQs on this topic.

Partial Derivatives: GATE Problem Series SET 24 (in Hindi)

In this lesson we will understand the basics of Definite Integral and also understand its definition

Definite Integral : Introduction (in Hindi)

In this lesson we will understand the properties of Definite Integral and also revise the formula.

Properties of Definite Integral (in Hindi)

In this lesson we will solve the numerical based on the properties of the definite integral that we have learnt so far.

Definite Integral: GATE Problem Series SET 25 (in Hindi)

In this lesson  we will understand how to solve the numerical on definite integral utilizing the property that we have learnt in the previous lessons.

Definite Integral : GATE Problem Series SET 26 (in Hindi)

In this lesson we will understand how to solve the numerical on definite integral utilizing the property that we have learnt in the previous lessons.

Definite Integral : GATE Problem Series SET 27 (in Hindi)

Definite Integral: GATE Problem Series SET 28 (in Hindi)

Definite Integral: GATE Problem Series SET 29 (in Hindi)

Definite Integral: GATE Problem Series SET 30 (in Hindi)

Definite Integral: GATE Problem Series SET 31 (in Hindi)

Definite Integral: GATE Problem Series SET 32 (in Hindi)

In this lesson we will understand about the meaning multiple integral and how we calculate the volume under the surface.

Concept of Double Integral (in Hindi)

In this lesson we will understand how to solve the numerical on double integral utilizing the property that we have learnt in the previous lessons.

Double integral: GATE Problem Series SET 33(in Hindi)

Double Integral: GATE Problem Series SET 34 (in Hindi)

In this lesson we will understand how to solve the numerical on triple integral utilizing the property that we have learnt in the previous lessons.

Triple Integral: GATE Problem Series SET 35 (in Hindi)

In this lesson we will understand the concept of Area under the curve and also understand the approach to solve the numerical.

Definite Integral: Area Under the Curve (in Hindi)

In this lesson we will understand how to solve the numerical on Area under the Curve.

Area Under the Curve: GATE Problem Series SET 36 (in Hindi)

Area Under the curve: GATE Problem Series SET 37 (in Hindi)

In this lesson we will understand how to solve the numerical on Area under the Curve when it revolves around the x-axis.

Area Under the Curve: Disc Method Around X-axis (in Hindi)

In this lesson we will understand how to solve the numerical on Area under the Curve when it revolves around the Y-axis.

Area Under the Curve : Disc Method Around Y -axis (in Hindi)

In this lesson we will understand the basics of Improper Integral and also solve the numerical based on it.

Improper Integral (in Hindi)

In this lesson we will solve the numericals on the improper integral and also understand the concept of Gamma Function and their properties.

Improper Integral: Gamma Function (in Hindi)

In this lesson we will understand the properties of Gamma function and using the definition of the Gamma function we will validate them as well.

Properties of Gamma Function (in Hindi)

In this lesson we will validate the properties of Gamma Function and we also solve the GATE Previous Year Questions based on the concept of Gamma Function.

Improper Integral: GATE PYQs on Gamma Function (in Hindi)

In this lesson we will solve the GATE PYQs on Improper Integral and also understand the properties of Gamma function.

Improper Integral: GATE PYQs (in Hindi)

In this lesson we will understand the syllabus and important topics which we need to cover under vector calculus.  We will also understand the basic definition of Del operator and Gradient

Introduction to Vector Calculus (in Hindi)

In this lesson we will understand the basic properties of Gradient and also solve the numericals based on these properties.

Properties of Gradient (in Hindi)

In this lesson we will understand about how to solve the problem on Gradient of a Scalar.

Gradient : GATE Problem Series SET 1 (in Hindi)

Gradient: GATE Problem Series SET 2 (in Hindi)

In this lesson we will understand the concept of Normal to the surface and also solve numerical based on this concept.

Normal to a Surface (in Hindi)

In this lesson we will understand the concept of Directional Derivative and also understand the concept of angle between the two surface and angle between two curves.

Directional Derivatives : GATE Problem Series Type 1(in Hindi)

In this lesson we will understand how to solve the numerical on the Directional Derivatives.

Directional Derivatives: Gate Problem Series Type 2 (in Hindi)

Directional Derivatives: GATE Problem Series Type 3 & 4 (in Hindi)

In this lesson we will understand how to find the angle between the two surfaces.

Angle Between Two Surfaces (in Hindi)

In this lesson we will understand about the divergence of a vector function and also understand about the concept of Solenoidal Vector.

Divergence of a Vector Function (in Hindi)

In this lesson we will understand about the concept Curl of a Vector Function and also Irrotational field.

Curl of a Vector Function (in Hindi)

In this lesson we will solve the  numericals on Vector Calculus based on the concept that we have learnt so far.

Vector Calculus: GATE Problem Series (in Hindi)

In this lesson we will try to understand the concept of Line Integral in vector calculus.

Integral Calculus: Line Integral (in Hindi)

In this lesson we will understand about the method to solve the numerical on Line Integral.

Line Integral : Problem Series SET 1(in Hindi)

In this lesson we will understand how to solve the numerical on line integral.

Line Integral : Problem Series SET 2(in Hindi)

In this lesson we will understand how to solve the numerical on line integral. We will solve solve GATE PYQs as well.

Line Integral : GATE Problem Series SET 3 (in Hindi)

In this lesson we will understand the basic concepts of Surface Integral and also understand the concept of unit normal and Flux.

Surface Integral (in Hindi)

In this lesson we will solve the numerical on surface integral and also understand how to identify the unit normal.

Surface Integral : Practice Problem (in Hindi)

In this lesson we will solve the numerical on Surface Integral and also understand how to identify the unit normal

Surface Integral : Practice Problems (in Hindi)

In this lesson we will understand the concept of Volume Integral and also solve the numerical on this topic.

Volume Integral (in Hindi)

IITian| 7+Yr of Teaching Experience| Join me for Unmatchable learning Experience | Teaches GA, GS & Engineering Mathematics

Aman Raj

In this course educator will discuss concepts,formulas and problems on Laplace equation. It is very important for GATE aspirants.

(Hindi) Laplace Transform - GATE

In this Course all topics related to Calculus will be discussed in detail from very basic..Some important questions of Gate will be also discussed

(Hindi) Complete Course on Calculus

Mentored 81,000+ Students | My Multiple Students secured AIR Below 100 in GATE | Joined top IISc, IITs & NITs | Joined PSUs | 5+ Years Exp.

Sweta Kumari

This course will cover the concepts of calculus with previous year GATE questions.  The educator has discussed Functions, limits, continuity,  Differentiation, Lagrange's Mean Value Theorem, Rolle's MVT, Cauchy's MVT and Integration.

Lessons

104 lessons • 15h 38m

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Course Overview (Hindi)

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Introduction to Limit (in Hindi)

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Existence of Limit (in Hindi)

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Limit : GATE Problem Series SET 1(in Hindi)

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Properties of Limit (in Hindi)

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Limit Indeterminate Form (in Hindi)

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Limit approaches to Infinity (in Hindi)

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Limit : GATE Problen Series Set 2 (in Hindi)

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Limit : GATE Problem Series Set 3 (in Hindi)

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Limit : GATE Problem Series Set 4 (in Hindi)

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