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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

The ‘Laplace Transform’ online course is a study about the mathematical tool that is used to solve the various kinds of differential equations, difference equations, and integral equations that are found in the fields of engineering and other primary sciences such as physics, chemistry, biology, economics, and other technological domains. This mathematics certification program is provided by the free online education platform Swayam along with the National Programme on Technology Enhanced Learning (NPTEL). The online course classes are held through video lectures for a period of four weeks. The course mentor for this AICTE approved elective course is assistant professor Indrava Roy from The Institute of Mathematical Sciences, Chennai. The books and reference materials are given in the program to aid the experiential learning process for the candidates. The ‘Laplace Transform’ online certification course enables eligible students to gain course certificates and academic credits after successful completion of the course.

The Highlights

Online course
Four weeks training
AICTE approved
Elective course
Undergraduate level program
Credit points
Mathematics course
Course certificate

Programme Offerings

Course Modules
Online Classes
video lectures
Credit Points
Books
references
assignments
course certificate

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	IMSc Chennai

The ‘Laplace Transform’ certification fee will be the registration fee for the exam conducted for the certification.

Laplace Transform fee structure

Fee Type	Fee Amount
Course Fee	Nil
Exam Registration Fee	Rs 1000

Eligibility Criteria

The students applying for the ‘Laplace Transform’ training are required to have prior knowledge of the concepts associated with integral and differential calculus of mathematics.

Certificate qualifying details

The students of the ‘Laplace Transform’ certification course will qualify for the E-Certificate if they have an average of 10/25(25%) in the best 3 out of 4 internal assignments and 30/75(75%) in the final exam with a total score of 40/100.

What you will learn

Problem Solving AbilityMathematical skillStatistical skills

The ‘Laplace Transform’ certification syllabus is developed for the students to learn about the solving of mathematical equations such as linear ordinary differential equations, linear partial differential equations, integral equations, integral differential equations, difference equations, and recurrence relations.

Who it is for

The ‘Laplace Transform’ online certification course is organized for the students pursuing their second year of bachelor's degree in science or engineering and for others interested in knowing about this mathematical tool to solve differential, integral and linear equations.

Admission Details

The candidates interested in learning about ‘Laplace Transform’ should register for the certification program through the course website.

Step 1: Go to the course page using the following link, https://onlinecourses.nptel.ac.in/noc21_ma69/preview

Step 2: Click on the ‘Register/Sign-In’ option.

Step 3: Fill in the relevant details and complete the registration.

Application Details

The students are required to fill in the registration form with the course account details or can sign in using their Google, Facebook, or Microsoft account details to join the ‘Laplace Transform’ certification by Swayam.

The Syllabus

Introduction and basic definitions
With brief review of limits and Riemann integration
With special emphasis on improper Riemann integrals

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

Inverse Laplace transforms
Criteria for uniqueness
Computation of inverse Laplace transform via various examples

Applications of Laplace transform techniques for solving integrals
Differential equations
Difference equations
Integral equations and integrodifferential equations

Evaluation process

The students of this online course are required to write the certification exam held at the select exam centers after paying the registration fee to become eligible for the ‘Laplace Transform’ certificate.