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.

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

Differential Calculus for UPSC CSE

UPSC - Civil Services Examination (IAS) Preparation

English Language

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

This is the overview lesson of Differential Calculus. It deals with the course objective, target audience, lessons involved and topics covered in this course

Course Overview

This lesson deals with the introduction of Differential Calculus, concepts of real numbers, closed and open intervals, variables and functions.

Differential Calculus: Functions of Real Numbers and Variables

In this lesson the graphical representation of exponential function, logarithmic function and the concept of inverse of a function is explained.

Differential Calculus: Functions of Real Variables

In this lesson trigonometric and inverse trigonometric functions are explained

Differential Calculus: Functions of Trigonometric and Inverse Trigonometric

In this lesson the concept of function of a function, limit and continuity are explained

Differential Calculus: Miscellaneous Concepts of Limit and Continuity

In this lesson the concept of differentiability is explained. Examples related to limit, continuity and derivative are also discussed.

Differential Calculus: Concepts and Examples of Continuity, Differentiability and Limit

In this lesson all the basic formulas related to limits and differentiability are listed.

Formulae, formulae and formulae

In this lesson the concept of successive differentiation is explained along with some examples. Also some of the standard results of successive differentiation are explained.

Successive Differentiation

In this lesson some of the standard results of successive differentiation are discussed and method to solve the functions which are not in standard form are explained with appropriate examples.

Successive Differentiation contd..

In this lesson Leibniz's theorem for the nth derivative of the product of two functions is explained. Some examples related to this theorem are also discussed.

Leibniz's Theorem

In this lesson the fundamental theorems are discussed. Rolle's theorem and Legarange's Mean Value theorem are explained.

Rolle's Theorem and Legarange's Mean Value Theorem

In this lesson Cauchy's Mean Value theorem and Taylor's theorem are discussed in detail with examples

Cauchy's Mean Value theorem and Taylor's theorem

In this lesson the expansion of a given function using 3 different methods - Maclaurin's series, Expansion by known series and Taylor's series are discussed in detail with examples.

Expansion of series - Maclaurin's series, Taylor's series, expansion by known series

In this lesson the methods to evaluate indeterminate forms 0/0, infinite/infinite are discussed in detail with examples.

Indeterminate forms

In this lesson methods to evaluate some more indeterminate forms are discussed in detail with examples.

Indeterminate forms contd.

In this lesson the concepts and procedure to find the maxima and minima are explained.

Maxima and Minima

In this lesson some of the examples related to Maxima and Minima are discussed in detail.

Examples of Maxima and Minima

In this lesson the theory of asymptotes - asymptotes parallel to axes and the inclined asymptotes are explained. Procedure to find the asymptotes parallel to axes is explained in detail with an example.

Asymptotes

This is the part 2 of asymptotes topic. In this lesson the working procedure of inclined asymptotes is explained in detail and some related examples are discussed.

Asymptotes contd.

In this lesson the procedure to trace the curve is explained in detail.

Curve Tracing

In this lesson the tracing of the Cartesian curves are explained very well with examples.

Examples of Curve tracing - Cartesian curves

In this lesson some more examples of curve tracing are explained

Examples of curve tracing - Cartesian Curves contd

In this lesson we will be looking into the procedure of curve tracing when the curves are given in parametric form along with examples.

Curve tracing - Parametric curves

In this lesson the last part of curve tracing that is tracing polar curves is discussed with example. Also the procedure of finding out the asymptotes of curve when given in terms of polar co ordinates is also explained.

Curve tracing - Polar curves

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

4th Year Undergraduate Student
Department of Chemical  Engineering.
IIT KANPUR.
Interest : I like to share my Knowledge.

Ankit Kumar Sharma

In this course we will discuss about Laplace Transform which is very useful in solving ordinary differential equations.

(Hindi) Laplace Transform - GATE(General Aptitude)

I am suraj Prajapati from chauri chaura ,i have completed class 12th from upboard, I am preparing
 b.sc 

Suraj Prajapati

This Course covers Curvature. This course is beneficial for GATE aspirants.

(Hindi) Curvature: GATE

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

Lessons

24 lessons • 4h 56m

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Course Overview

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Differential Calculus: Functions of Real Numbers and Variables

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Differential Calculus: Functions of Real Variables

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Differential Calculus: Functions of Trigonometric and Inverse Trigonometric

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Differential Calculus: Miscellaneous Concepts of Limit and Continuity

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Differential Calculus: Concepts and Examples of Continuity, Differentiability and Limit

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Formulae, formulae and formulae

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Successive Differentiation

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Successive Differentiation contd..

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Leibniz's Theorem

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