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.
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Professor of Engineering Mathematics with 16 years of wide experience of engineering applied mathematics. Having sound knowledge of Laplace transforms, Fourier transforms, image processing, etc. This course is to introduce and attract new students towards the mathematical approach of engineering mathematics knowledge. This course has been divided into part 01 and part 02. Both courses are free to explore and gives the clear idea about the Laplace transforms and its applications.
