Raj Desai

This course will cover basic calculus topics such as Limits, Derivatives, Integration, etc.

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

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English

Calculus-Part 1 (Basic Calculus)

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

The lesson gives a quick walkthrough of this course.

Course Overview

The lesson is introduces a simple definition of limit. It shows what is a Left Hand and Right Hand Limit. Further, it also contains numerical examples.

Limits | Introduction

The lesson explains three important types of functions : 
1) Absolute Function
2) Greatest Integer Function
3) Fractional part Function

Three Important Definitions

Some of the most important common formulae are discussed in this lesson.

Limits | Standard Limits

In this lesson students will be learning three special cases of limit x tending to infinity.

Limits | Special Types of Limits

The lesson explains method of solving various Indeterminate Forms of Limits. It also explains L-Hospital’s Rule which is a shortcut method of solving limits.

Limits | Indeterminate Forms and L-Hospital's Rule

Limits | Numericals and Newton-Leibnitz Theorem

In this lesson you will learn about Continuity, Discontinuity and Different types of Discontinuity with a lot of graphs.

Limits | Continuity

In this lesson you will learn to solve questions on continuity using graphs and without graphs.

Limits | Numerical on Continuity

In this introductory lesson you will learn Definition of Derivative, Left Hand and Right Hand Derivative along with some important concepts.

Differentiation | Introduction

The lesson is on various Mean Value Theorems like Rolle’s Theorem, Lagrange’s Mean Value Theorem and Cauchy’s Mean Value Theorem.

Differentiation | Mean Value Theorems

All the formulae of derivatives (studied in 11th and 12th Std.) are revised in this lesson. Later we discuss Taylor’s Series, Maclaurin Series and other standard Maclaurin Series expansion.

Differentiation | Standard Derivatives, Taylor's Series and other Standard Series

This lesson covers important topic of maxima and minima. It also explains method to calculate the same.

Differentiation | Point of Inflection, Maxima and Minima, Method to calculate Local Max. & Min.

You will be learning a method for calculating absolute maxima or minima of the given function. Also you will learn about ‘Partial Derivatives’ which is also a very important concept.

Differentiation | Method to find Absolute Max. or Min., Partial Derivatives

Through this lesson you will learn how to calculate maxima and minima of functions with two variables using partial derivatives. Next you will learn about Total Derivatives.

Differentiation | Method to find Max. or Min. of two variables, Total Derivative

This lesson marks the beginning of a new topic ‘Integration’. All the formulae of 11th and 12th Std. are revised and then we see what is a ‘Definite Integral’.

Integration | Introduction, Formulae, Definite Integral

Some of the important types of GATE numerical are solved in this lesson. 

Please visit this link for Shortcut Method of Partial Fractions - https://unacademy.com/lesson/numericals-on-inverse-laplace-transforms-ilt/UALOQ0U5

Integration | Numerical

The lesson contains four important definitions and ten properties of Definite Integrals.

Integration | Important Definitions and Properties

Numericals related to previous lesson are discussed with some tips and tricks.

Integration | Numericals on Properties

In this last lesson various formulae of calculating Length of Arc, Volume of Solids, Surface Area of Solids, etc. are discussed.

Integration | Applications of Definite Integrals

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, the educator discusses the complete topic Vector Calculus under Engineering Mathematics helpful for GATE aspirants.

(Hindi) Vector Calculus: 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

My name is Priya Yadav.I am CGPSC aspirant.

Priya Yadav

In this course, Priya Yadav discusses the second part of vector calculus, that is integral vector calculus. The  course will be beneficial for GATE aspirants.

Vector Integral Calculus: GATE

Loves Maths, Painting, Drawing and Travelling :)

Keerthi Allam

In this course, Keerthi will be discussing Differential Calculus. This course covers the differential calculus topic of Mathematics paper 1, UPSC mains. It is useful for the candidates who have taken maths as an optional subject in UPSE CSE, GATE aspirants and Engineering students.

Differential Calculus for UPSC CSE

In this course, Aman Raj will discuss Linear Algebra from basics. It will be helpful for all branch GATE aspirants..

Lessons

20 lessons • 4h 2m

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Course Overview

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Limits | Introduction

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Three Important Definitions

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Limits | Standard Limits

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Limits | Special Types of Limits

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Limits | Indeterminate Forms and L-Hospital's Rule

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Limits | Numericals and Newton-Leibnitz Theorem

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Limits | Continuity

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Limits | Numerical on Continuity

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Differentiation | Introduction

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