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Laplace Transform

  • Course level: Beginner

Description

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.

What Will I Learn?

  • Laplace Transform, including all characteristics
  • Inverse Laplace Transform
  • Laplace Transform Application

Topics for this course

27 Lessons

Laplace Transform

mod01lec01 – Introduction and Motivation for Laplace transforms – Part 122:59
mod01lec02 – Introduction and Motivation for Laplace transforms – Part 200:00:00
mod01lec03 – Improper Riemann integrals: Definition and Existence – Part 100:00:00
mod01lec04 – Improper Riemann integrals: Definition and Existence – Part 200:00:00
mod01lec05 – Existence of Laplace transforms and Examples00:00:00
mod01lec06 – Properties of Laplace transforms- I – Part 115:11
mod01lec07 – Properties of Laplace transforms- I – Part 221:08
mod02lec08_Existence of Laplace transforms for functions with vertical asymptote at the Y-axis-Part131:32
mod02lec09_Existence of Laplace transforms for functions with vertical asymptote at the Y-axis-Part200:00:00
mod02lec10 – Properties of Laplace transforms- II – Part 100:00:00
mod02lec11 – Properties of Laplace transforms- II – Part 200:00:00
mod02lec12 – Laplace transform of Derivatives – Part 100:00:00
mod02lec13 – Laplace transform of Derivatives – Part 200:00:00
mod02lec14 – Laplace transform of Periodic functions and Integrals -I00:00:00
mod02lec15 – Laplace transform of Integrals- II – Part 100:00:00
mod02lec16 – Laplace transform of Integrals- II – Part 200:00:00
mod03lec17 – Inverse Laplace transform and asymptotic behaviour – Part 100:00:00
mod03lec18 – Inverse Laplace transform and asymptotic behaviour – Part 200:00:00
mod03lec19 – Methods of finding Inverse Laplace transform-I- Partial Fraction00:00:00
mod03lec20 – Methods of finding Inverse Laplace transform-II- Convolution theorem00:00:00
mod03lec21 – Convolution theorem for Laplace transforms00:00:00
mod04lec22 – Applications of Laplace transforms00:00:00
mod04lec23 – Applications of Laplace Transform to physical systems00:00:00
mod04lec24 – Solving Linear ODE’s with polynomial coefficients00:00:00
mod04lec25 – Integral and Integro-differential equation00:00:00
mod04lec26 – Further application of Laplace transforms – Part 100:00:00
mod04lec27 – Further application of Laplace transforms – Part 200:00:00
Free

Enrolment validity: Lifetime

Requirements

  • If you know 1+1=2 means, you can understand this course