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Basics of Laplace Transforms
Rating: 4.3 out of 5(2 ratings)
377 students
Last updated 3/2023
English

What you'll learn

  • Find the Laplace transforms of given function
  • Apply the properties of Laplace Transforms
  • Apply the techniques of Inverse Laplace transforms to find the function
  • Apply the Laplace transform to solve the first order differential equation

Course content

1 section5 lectures1h 49m total length
  • Definition and LT of standard functions29:03
  • First Shifting Theorem and Multiplication by t25:23
  • On Definition and LT of standard functions
  • Division by t property22:57
  • Change of a Scale Property16:05
  • Division by t and change of scale property
  • Laplace Transform of Derrivatives15:40
  • Laplace Transforms of Derivatives

Requirements

  • Basics trignometric relations, Differentiation, Integration

Description

The transform turns integral equations and differential equations into polynomial equations, which are comparatively much easier to solve. In this course, we have mainly focussed on the basic definitions and the Laplace transforms of some standard functions. Also, we have covered the properties in detail like shifting theorem, change of scale, multiplication by t, division by t, and Laplace transform of derivatives with supporting examples. Course 2 will be floated on the rest of the properties and the inverse Laplace transforms with its applications. This course will help the participant to get introduced to the basics of Laplace transforms in a very short period of time and the performance will be recorded through the quizzes available in the course. After every one or two lectures there is autograded activity which records your performance and create the grade report. Also, this course have downloadable content as e-material for the students to refer additionally. All solved examples are covered in the study material which are downloadable. This course is designed purposely in two sets so that it can be made available free of cost to the users. The basic objective of the course is students are able to find the Laplace transform of given function and apply it in allied areas. 

Who this course is for:

  • Mathematical approach to Laplace Transform