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

Sanjay Yadav

In this course we will learn the complete concept of Laplace Transform, and solve all the previous year GATE, PSU problem.  During the course we will complete the following lesson in the course Part 1: Laplace Transform.
1. Introduction to Laplace Transform
2. Definition of Laplace Transform
3. Concept of ROC in Laplace Transform
4. Part 1: GATE Problem Series
5. Part 2: GATE Problem Series
6. Laplace Transform of Standard signal
7. Part 1 : Properties of Laplace Transform
8. Part 2 : Properties of Laplace Transform
9. Part 3: Properties of Laplace Transform
10. Initial and Final Value Theorem

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

(Hindi) Part 1: Laplace Transform GATE

Laplace Transform

Signals & Systems

Electrical Engineering

GATE & ESE - EE, EC

GATE, ESE and IIT-JAM

Ace the toughest competitive and government exams in India 

Test Preparation

In this lesson we will learn about the course overview and our strategy to learn Laplace Transform. Moreover, learner will have an idea about which topic need to give more importance in Laplace Transform while revising the concept.

Course Overview and Strategy for Laplace Transform (in Hindi)

This is the first introductory lesson of the course Laplace transform where we will understand about need of Laplace transform.We will also understand the importance of studying the Laplace transform.This lesson also covers the topics  complex frequency.

Introduction to Laplace Transform (in Hindi)

In this lesson we will understand about mathematical expressions for the Laplace and Inverse Laplace transform. We will do analysis on the complex frequency plane. We will also understand about the condition for existence of a Laplace Transform.

Definition of Laplace Transform (in Hindi)

In this lesson we will understand about the concept of Region Of Convergence. We will identify the region of convergence for the right sided causal signal. We will understand for the right sided causal signal ROC will be towards Right hand side of abscissa of convergence.

Part 1 : Concept of ROC in Laplace Transform (in Hindi)

In this lesson we will understand about the concept of Region Of Convergence. We will identify the region of convergence for the left sided causal signal. We will also understand for the left sided causal signal ROC will be towards left hand side of abscissa of convergence.

Part 2 : Concept of ROC in Laplace Transform (in Hindi)

In this lesson we will understand about the concept of Region Of Convergence. We will identify the region of convergence for the two sided signal. We will understand for the two sided signal how the ROC will be in between of the two abscissa of convergence.

Part 3 : Concept of ROC in Laplace Transform (in Hindi)

In this lesson we will solve some basic problems on ROC with utilizing the concept of previous lesson. We will also learn the approach to solve problem in lesser time and how to avoid the mistake.

Part 1 : GATE Problem Series (in Hindi)

In this lesson we will continue to solve some basic problems on ROC with utilizing the concept of previous lesson. We will also learn the approach to solve problem in lesser time and how to avoid the mistake in exam.

Part 2 : GATE Problem Series (in Hindi)

In this lesson we will continue to solve some standard problems on sinusoidal signal using Laplace transform. We will also learn the approach to solve problem in lesser time and how to avoid the mistake in exam.

Part 3 : GATE Problem Series (in Hindi)

Part 4 : GATE Problem Series (in Hindi)

In this lesson we will understand about the properties of Laplace Transform. We will understand about the property like linearity, amplitude scaling and frequency shifting in detail, and we will validate each and individual property.

Part 1 : Properties of Laplace Transform (in Hindi)

In this lesson we will continue to understand about the properties of Laplace Transform. We will understand about the property like Time Shifting, Time Scaling in detail, and we will validate them as well.

Part 2 : Properties of Laplace Transform (in Hindi)

In this lesson we will continue to understand about the properties of Laplace Transform. We will understand about the property like Time Differentiation, Time Integration in detail and we will validate them as well.

Part 3 : Properties of Laplace Transform (in Hindi)

In this lesson we will continue to understand about the properties of Laplace Transform. We will understand about the property like Time Differentiation, Time Integration, periodicity and Convolution property in detail, and we will validate the property as well using the Laplace Transform definition.

Part 4 : Properties of Laplace Transform (in Hindi)

In this lesson we revised the concept about the Laplace transform of Standard signal in a tabular chart. We have also understood about their Region of Convergence. This chart will help us to revise the concept in less time before the examination.

Laplace Transform of Standard Signal (in Hindi)

In this lesson we will continue to solve the problem on Laplace Transform of Standard Signal, where we will solve the problem on waveform. We will see how to write the mathematical equations for the waveform and then apply the Laplace definition to find the Laplace transform of the signal.

Part 1: Laplace Transform of Graphical Signal (in Hindi)

Part 2 : Laplace Transform of Graphical Signal (in Hindi)

In this lesson we will solve the problem on Laplace Transform of Periodic Signal. We will understand the process how to find the Laplace  transform of a periodic  signal using Periodicity Property. We will also learn the strategy how to avoid the mistakes in the exam while solving the problem.

Laplace Transform of Periodic Signals (in Hindi)

This is the final lesson of the course Part 1 Laplace Transform. Where we have discussed about the topic initial value and final value theorem. We have also understood the condition to apply this initial value and final value theorem.

Initial and Final Value Theorem (in Hindi)

This is the final lesson of the course where we discuss about the summary of the properties with the help of chart. We have revised all the properties which we discussedd earlier. At the end of the lesson we have also discussed about the course completion, what we can learn from this course also discuss about the outcomes.

Part 1 - Laplace Transform : Course Completion (in Hindi)

M Tech from NIT Calicut || 5 times GATE qualified || 4 years of teaching experience

Sithara M

This course consists of all topics coming under Z Transforms which is relevant for competitive exams like GATE.

Z Transform: GATE (Electrical)

I am an electrical and electronics engineer . currently working in Crompton Greaves as an electrical engineer .

Dipesh Kumar Singh

In this course entire Laplace transform with short cut trick for solving the problem is being discussed.

(Hindi) Laplace Transform for GATE

This Course Covers Laplace Transform - ROC,Properties, Inverse Laplace Transform,  Initial value and Final value theorem and important numericals.

Part 3 Signals and Systems Laplace Transform : GATE (Electrical)

In this course, the entire basis of the Fourier Series is discussed along with shortcut techniques to solve the problems based on it. The course will be beneficial for GATE Aspirants.

(Hindi) Part 1: Fourier Series for GATE (Electrical)

In this course entire basics concepts of fourier series is discussed along with shortcut techniques to solve the problems based on it.

GATE (Electrical) Fourier Series :Part 1

In this course entire concepts of fourier transform is discussed along with shortcut techniques to solve the problems based on it.

Lessons

20 lessons • 4h 30m

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Course Overview and Strategy for Laplace Transform (in Hindi)

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Introduction to Laplace Transform (in Hindi)

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Definition of Laplace Transform (in Hindi)

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Part 1 : Concept of ROC in Laplace Transform (in Hindi)

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Part 2 : Concept of ROC in Laplace Transform (in Hindi)

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Part 3 : Concept of ROC in Laplace Transform (in Hindi)

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Part 1 : GATE Problem Series (in Hindi)

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Part 2 : GATE Problem Series (in Hindi)

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Part 3 : GATE Problem Series (in Hindi)

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Part 4 : GATE Problem Series (in Hindi)

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