X
X
X

X

Laplace Transform

By Prof. Indrava Roy   |   IMSC
Laplace transform is a fundamental tool in integral calculus. It is used to solve various types of differential equations, difference equations, integral equations etc., which arise naturally in engineering and basic sciences. Laplace transform techniques are therefore very useful for applications in science and technology.

INTENDED AUDIENCE
2nd year BE/BSc onwards
PREREQUISITES Differential and integral calculus
INDUSTRIES  SUPPORT     : None

Learners enrolled: 4482

SUMMARY

Course Status : Ongoing
Course Type : Elective
Duration : 4 weeks
Start Date : 14 Sep 2020
End Date : 09 Oct 2020
Exam Date : 18 Dec 2020
Enrollment Ends : 25 Sep 2020
Category :
  • Mathematics
  • Level : Undergraduate
    This is an AICTE approved FDP course

    COURSE LAYOUT

    Week 1:Introduction and basic definitions, with brief review of limits and Riemann integration, with special emphasis on improper Riemann integrals
    Week 2:Functions of exponential order and existence theorem for Laplace transforms- with lots of examples and some non-examples; Properties of Laplace transforms with applications in computing them for various functions
    Week 3: Inverse Laplace transforms, criteria for uniqueness, computation of inverse Laplace transform via various examples
    Week 4:Applications of Laplace transform techniques for solving integrals, differential equations, difference equations, integral equations and integro-differential equations

    BOOKS AND REFERENCES

    1. Chapter 6 of “Advanced Engineering Mathematics”, E. Kreyzig, 10th Edition, Wiley
    2. Chapters 1-3 of “Introduction to Laplace Transforms and Fourier Series”, Philip Dyke, Springer

    INSTRUCTOR BIO

    Prof. Indrava Roy

    IMSC
    Indrava Roy is an Assistant Professor of Mathematics at the Institute of Mathematical Sciences, Chennai

    COURSE CERTIFICATE

    •The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
    •The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
    Date and Time of Exams: 18 December 2020, Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
    •Registration url: Announcements will be made when the registration form is open for registrations.
    • The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
    •Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

    CRITERIA TO GET A CERTIFICATE:
    • Average assignment score = 25% of average of best 3 assignments out of the total 4 assignments given in the course.
    • Exam score = 75% of the proctored certification exam score out of 100
    •Final score = Average assignment score + Exam score

    YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75.
    •If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.
    • Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras. It will be e-verifiable at nptel.ac.in/noc
    •Only the e-certificate will be made available. Hard copies will not be dispatched.


    DOWNLOAD APP

    FOLLOW US