Laplace Transform

About Course

This course covers all aspects of the Laplace Transform (LT).

We’ll look at the LP of a standard function as well as the Advance function.

It will also cover the LP Properties, Inverse Laplace Transform, and Applications.

All questions are classified into a number of Exercises based on their similarity, and all types of problems are handled with thorough explanations in this course.

This course is intended for the following individuals:

Engineering students, mathematics scholars, academicians, and researchers will benefit from this course.

Course Content

Laplace Transform

mod01lec01 – Introduction and Motivation for Laplace transforms – Part 1

22:59
mod01lec02 – Introduction and Motivation for Laplace transforms – Part 2

00:00
mod01lec03 – Improper Riemann integrals: Definition and Existence – Part 1

00:00
mod01lec04 – Improper Riemann integrals: Definition and Existence – Part 2

00:00
mod01lec05 – Existence of Laplace transforms and Examples

00:00
mod01lec06 – Properties of Laplace transforms- I – Part 1

15:11
mod01lec07 – Properties of Laplace transforms- I – Part 2

21:08
mod02lec08_Existence of Laplace transforms for functions with vertical asymptote at the Y-axis-Part1

31:32
mod02lec09_Existence of Laplace transforms for functions with vertical asymptote at the Y-axis-Part2

00:00
mod02lec10 – Properties of Laplace transforms- II – Part 1

00:00
mod02lec11 – Properties of Laplace transforms- II – Part 2

00:00
mod02lec12 – Laplace transform of Derivatives – Part 1

00:00
mod02lec13 – Laplace transform of Derivatives – Part 2

00:00
mod02lec14 – Laplace transform of Periodic functions and Integrals -I

00:00
mod02lec15 – Laplace transform of Integrals- II – Part 1

00:00
mod02lec16 – Laplace transform of Integrals- II – Part 2

00:00
mod03lec17 – Inverse Laplace transform and asymptotic behaviour – Part 1

00:00
mod03lec18 – Inverse Laplace transform and asymptotic behaviour – Part 2

00:00
mod03lec19 – Methods of finding Inverse Laplace transform-I- Partial Fraction

00:00
mod03lec20 – Methods of finding Inverse Laplace transform-II- Convolution theorem

00:00
mod03lec21 – Convolution theorem for Laplace transforms

00:00
mod04lec22 – Applications of Laplace transforms

00:00
mod04lec23 – Applications of Laplace Transform to physical systems

00:00
mod04lec24 – Solving Linear ODE’s with polynomial coefficients

00:00
mod04lec25 – Integral and Integro-differential equation

00:00
mod04lec26 – Further application of Laplace transforms – Part 1

00:00
mod04lec27 – Further application of Laplace transforms – Part 2

00:00

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About Course

This course covers all aspects of the Laplace Transform (LT).

What Will You Learn?

Course Content

Laplace Transform

mod01lec01 – Introduction and Motivation for Laplace transforms – Part 1

mod01lec02 – Introduction and Motivation for Laplace transforms – Part 2

mod01lec03 – Improper Riemann integrals: Definition and Existence – Part 1

mod01lec04 – Improper Riemann integrals: Definition and Existence – Part 2

mod01lec05 – Existence of Laplace transforms and Examples

mod01lec06 – Properties of Laplace transforms- I – Part 1

mod01lec07 – Properties of Laplace transforms- I – Part 2

mod02lec08_Existence of Laplace transforms for functions with vertical asymptote at the Y-axis-Part1

mod02lec09_Existence of Laplace transforms for functions with vertical asymptote at the Y-axis-Part2

mod02lec10 – Properties of Laplace transforms- II – Part 1

mod02lec11 – Properties of Laplace transforms- II – Part 2

mod02lec12 – Laplace transform of Derivatives – Part 1

mod02lec13 – Laplace transform of Derivatives – Part 2

mod02lec14 – Laplace transform of Periodic functions and Integrals -I

mod02lec15 – Laplace transform of Integrals- II – Part 1

mod02lec16 – Laplace transform of Integrals- II – Part 2

mod03lec17 – Inverse Laplace transform and asymptotic behaviour – Part 1

mod03lec18 – Inverse Laplace transform and asymptotic behaviour – Part 2

mod03lec19 – Methods of finding Inverse Laplace transform-I- Partial Fraction

mod03lec20 – Methods of finding Inverse Laplace transform-II- Convolution theorem

mod03lec21 – Convolution theorem for Laplace transforms

mod04lec22 – Applications of Laplace transforms

mod04lec23 – Applications of Laplace Transform to physical systems

mod04lec24 – Solving Linear ODE’s with polynomial coefficients

mod04lec25 – Integral and Integro-differential equation

mod04lec26 – Further application of Laplace transforms – Part 1

mod04lec27 – Further application of Laplace transforms – Part 2

Student Ratings & Reviews