Laplace Transform

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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.

What Will You Learn?

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

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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