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

Sanjay Yadav

This course is designed as a complete course on Engineering Mathematics Part 2 for GATE examination.  It covers very important topics such as Numerical Method,  Vector Calculus and Complex Algebra as per the GATE Syllabus.

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

English

Part 2: Complete Course on Engineering Mathematics - GATE

Crash Course

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 will discuss about the course structure and the topic that we are going to cover in the Engineering Mathematics Part (ii).

Couse Overview

In this lesson we will understand about the course overview which covers the  syllabus and weightage of Numerical Method.  We will also understand why do we need to study numerical method in Engineering Mathematics.

Numerical Method: Overview

In this lesson  we will understand the concept of intermediate mean value theorem and also understand the concept of bisection method.  At the end of the lesson we will solve the problem as well on Bisection Method.

Bisection Method

Bisection Method : GATE Problem Series

In this lesson we will understand about the concept of Newton Raphson Method and our approach to solve the N-R method problem.

Newton Raphson Method

In this lesson we will solve all the PYQs which appeared in the GATE from the topic Newton Raphson Method and understand how to tackle these problems in upcoming GATE examination.

Newton Raphson Method: GATE Problem Series

In this lesson we will discuss about the  Regula Falsi Method.  We will also solve the numerical utilizing the concept of Regula Falsi Method.

Regula Falsi Method

In this lesson we will discuss about the Secant Method and understand the process to find the root using this method. We will also solve the numerical utilizing the concept of Secant Method.  At the end of the lesson we will also discuss about the rate of convergence for these methods.

Secant Method

In this lesson we will discuss about the solution to system of linear equation  and understand the process to find the solution for the given equation using Gauss Elimination method.  We will also solve the numerical utilizing this concept

Gauss Elimination Method

In this lesson we will discuss about the solution to system of linear equation  and understand the process to find the solution for the given equation using Gauss Elimination method using Pivoting. We will also solve the numerical utilizing this concept.

Gauss Elimination Method using Pivoting

In this lesson we will discuss about the LU decomposition method and Crout's method.  At the end of the lesson we will also solve the numerical based on the concept we learnt.

LU Decomposition Method

In this lesson we will discuss about the concept of solution to integration of function.  We will understand about the concept of step size and also understand the formula for Simpson 1/3rd,  simpson 3/8th and Trapezoidal rule.  At the end of the lesson we will also solve the numerical based on the concept we learnt.

Trapezoidal and Simpson Rule

Trapezoidal and Simpson Rule: GATE Problem Series 1

Trapezoidal and Simpson Rule : GATE Problem Series 2

Trapezoidal and Simpson Rule : GATE Problem Series 3

In this lesson we will discuss about the  concept of solution to system of differential equation.  We will also  understand the formula for Euler's forward method and solve the numerical as well utlizing the formula.

Euler's Forward Method

In this lesson we will discuss about the  concept of solution to system of differential equation. We will also  understand the formula for Euler's Backward method and solve the numerical as well utlizing the formula.

Euler's Backward Method

In this lesson we will discuss about the  concept of solution to system of differential equation. We will  understand the formula for Euler's modified method and solve the numerical as well utlizing the formula.

Euler's Modified Method

In this lesson we will discuss about the  concept of solution to system of differential equation. We will understand the formula for Runge Kutta First, Second and Third order and solve the numerical as well utlizing this formula.

Runge Kutta Method : Part 1

In this lesson we will discuss about the  concept of solution to system of differential equation. We will understand the formula for Runge Kutta Fourth order and solve the numerical utlizing the formula.

Runge Kutta Method : Part 2

In this lesson we will solve the GATE previous year questions by utilizing the concept that we learnt so far in the numerical method.

Numerical Method : GATE PYQs SET 1

Numerical Method : GATE PYQs SET 2

Numerical Method : GATE PYQs SET 3

Numerical Method : GATE PYQs SET 4

Numerical Method : GATE PYQs SET 5

Numerical Method : GATE PYQs SET 6

Numerical Method : GATE PYQs SET 7

This is the final lesson of this course where we will solve the GATE previous year questions by utilizing the concept that we learnt so far in the numerical method.

Numerical Method : GATE PYQs SET 8

Numerical Method : GATE PYQs SET 9

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

Properties of Gradient

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

Gradient : GATE Problem Series SET 1

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

Gradient: GATE Problem Series SET 2

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

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

Directional Derivatives: GATE Problem Series Type 1

Directional Derivatives: GATE Problem Series Type 2

Directional Derivatives: GATE Problem Series Type 3 & 4

Angle Between Two Surfaces

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

Curl of a Vector Function

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

Integral Calculus: Line Integral

In this lesson we will understand how to solve numerical on Line Integral in vector calculus.

Line Integral : Problem Series SET 1

In this lesson we will understand how to solve Line Integral problem in vector calculus.

Line Integral: Problem Series SET 2

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

Line Integral : GATE Problem Series SET 3

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 complete concept of Graphs in Discrete Mathematics.

(Hindi) Graphs in Discrete Mathematics + PYQs - GATE (CS/IT)

As I am here as a DMS educator , I would say , I have won maths olympiad state level once at 12th standard, I have interned with HP.

Chinmaya Sahoo

Discrete Mathematics is one of the most important part for any gate aspirants. It covers as much as 14-15 % of the total syllabus. It is very easy to understand the concepts and learn discrete mathematics.

Discrete Mathematics

I am an E&Tc Engineer, technical freelancer, I like to teach, write, explore new places. 

Vinod Singh Jadon

The course of Engineering Mathematics focuses on GATE and other competitive exams for all Engineers. All the key concepts of Engineering Mathematics has been covered along with examples. This course aims a quick and effective
revision of the subject.

(Hindi) Crash Course | Engineering Mathematics for GATE

Major in Electrical Engineering from IIT-K. A DPSite. KVPY scholar. Avid aeromodeller. Spirituous learner. Taking ESE/GATE/Aptitude Courses.

Chirag Jha

This course covers quick shortcuts and tricks to help you score good marks in the aptitude and numerical sections of GATE, ESE (Prelims) and other related exams.

General Aptitude and Numerical Methods for IES/GATE

M.E. IN THERMAL SCIENCE
YOU TUBER,
Subject Combines In a Better way With conceptual manner

Niraj Diwatiya

The course covering all the aspects of vector calculus like Basics, Gradient, Divergence and Curl, Directional Derivatives, Line , surface and volume Integrals, Green, Stokes and Gauss Divergence Theorem.

(Hindi) Crash Course on Vector Calculus : GATE

In this course, I will cover Topic Wise Previous Year GATE Questions of Discrete Mathematics.

Lessons

46 lessons • 8h 33m

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Couse Overview

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Numerical Method: Overview

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Bisection Method

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Bisection Method : GATE Problem Series

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Newton Raphson Method

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Newton Raphson Method: GATE Problem Series

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Regula Falsi Method

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Secant Method

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Gauss Elimination Method

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Gauss Elimination Method using Pivoting

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