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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

Part 1: Laplace Transform GATE(ECE)

Laplace Transforms

Signals & Systems

GATE & ESE - EE, EC

GATE, ESE and IIT-JAM

Ace the toughest competitive and government exams in India 

Test Preparation

This is the first introductory lesson of the course Laplace transform where we will understand about the strategy to learn the concept Laplace transform. We will understand why do we need to study Laplace transform. We will also understand the concept of complex frequency.

Introduction to Laplace Transform

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 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 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 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 ROC will be in between of the two abscissa of convergence.

Part 3 : Concept of ROC in Laplace Transform

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

Part 4 : GATE Problem Series

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 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 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 them as well.

Part 3 : Properties of Laplace Transform

In this lesson we will continue to understand about the properties of Laplace Transform. We will understand about the property like Frequency Differentiation, Frequency Integration, we will validate them as well. At the end of the lesson we will summarise the entire property using the chart which help us to revise all the property in a single shot.

Part 4 : Properties of Laplace Transform

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 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

Part 2 : Laplace Transform of Graphical Signal

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 Signal

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. At the end of the lesson we have discussed about the topics that we cover during this course.

Initial Value and Final Value Theorem

M.Tech (Digital Communication) from IIIT-Gwalior, qualified GATE. Passionate for teaching. 

Sourabh Jain

(Hindi) Basics of Z-Transform

Yash Dixit

In this course I will discuss about Laplace transform.

( Hindi) Laplace Transform: GATE (ECE)

B.Tech in EEE 
Qualified gate 2017 and gate 2018
M.Tech-EE, PhD- EMD(EE)


Kumari Sarita

This course will cover Laplace Transform, inverse Laplace transform, properties of L.T. and I.L.T, Convolution Theorem,
 Solution of differential equations by L.T, and also Questions practice and PYQS on these topics.

(Hindi) Laplace Transform: GATE (ECE)

Kunal Swarnkar

This course consist of all the concept of Laplace transform, after going through this course any one can easily solve the question asked in Gate, Ese or any PSUs from this particular topic.

(Hindi) Laplace Transform - GATE

In this course Yash Dixit will cover all the syllabus of Laplace transform which is  important part of GATE exam.
He will also discuss previous years Gate Questions.

Laplace Transform - GATE(ECE)

B.Tech. graduate from ECE with First Division Honours. Engineer by profession Educator by passion. My Motive is to 'Grow & Learn' always.

Indu Yadav

This course deals with the designing of Digital IIR filters. In this course, Indu Yadav will discuss all the methods that could be used for designing.

Lessons

18 lessons • 3h 46m

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Introduction to Laplace Transform

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Definition of Laplace Transform

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Part 1: Concept of ROC in Laplace Transform

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Part 2 : Concept of ROC in Laplace Transform

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Part 3 : Concept of ROC in Laplace Transform

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Part 1 : GATE Problem Series

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Part 2: GATE Problem Series

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Part 3 : GATE Problem Series

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Part 4 : GATE Problem Series

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Part 1: Properties of Laplace Transform

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