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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 Engineering Mathematics II online course is a 12-week course and the second part of Engineering Mathematics training. This programme is an undergraduate-level core course, and a part of the mathematics category, offered by IIT Kharagpur. The course will be instructed in English by Prof Jitendra Kumar.

The Engineering Mathematics II certification syllabus deals with the essential and fundamental aspects of mathematics required for undergraduate science or engineering studies. Some of the topics covered under the course in the first eight weeks are vector calculus, numerical and complex analysis, and Laplace Transform methods applied to several engineering-related problems.

Towards the end, the last four weeks of the Engineering Mathematics II training deals with module five, including in-depth information about the Fourier Series Representation and Transform. The course also has many reference materials to help the candidates do their research. Candidates may even register for the exam and receive an e-certificate based on their eligibility.

The Highlights

Undergraduate-level certification
Online platforms only
Core course
Duration of 12 weeks
Mathematics category
Lectures in English only
Graded assignments
Reference and reading material
Final external exam
By the Govt. of India
Structured by IIT Kharagpur
E-certificate upon completion

Programme Offerings

No payment for registration
In-course assignments
External final examination
Online training
Taught in English
Core course
E-certificate

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	IIT Kharagpur

The course is available to audit for free. However, as part of Engineering Mathematics II certification fees for the external proctored exam, candidates have to pay Rs. 1000/-.

Engineering Mathematics II fee structure

Course Title	Total fee
Engineering Mathematics II (audit only)	Free
Engineering Mathematics II (with e-certificate)	Rs. 1000/-

Eligibility Criteria

Candidates must opt for the Engineering Mathematics II online course only after completing its first part – Engineering Mathematics – I.

Moreover, the break up for the final score is 25% of assignments marks plus 75% of external exam marks. An average score of at least 10/25 in the assignments and 30/75 in the proctored examination is mandatory to be eligible for the e-certificate.

What you will learn

Based on the syllabus for the Engineering Mathematics II training, candidates will be able to understand and perform:

Vector calculus
Complex analysis including Cauchy’s integral theorem and residue theorem
Numerical analysis, integration, and interpolation
Laplace transform and convolution theorem
Fourier Series representation, convergence, transform, and application

Who it is for

Candidates who have completed the Engineering Mathematics – I course and studied under any engineering or sciences branches may join the Engineering Mathematics II training.

Admission Details

Step 1. Enrol in the Engineering Mathematics II certification course by visiting the official website of Swayam at https://swayam.gov.in/.

Step 2. Open the ‘Sign-in/Register’ tab to create an account.

Step 3. Click on the ‘send verification code’ option after filling in the required information.

Step 4. Type in the verification code sent to your registered email address and click the ‘Verify Code’ option.

Step 5. Start learning by clicking the ‘Create’ option and selecting the course.

Application Details

There is no need to fill any application form for the Engineering Mathematics II programme. Candidates may sign up or just log in to choose the course and begin learning. While registering candidates have to enter their email ID. Learners are also asked to provide their personal, professional, educational, and contact details.

The Syllabus

Vector and scalar fields
Limit, continuity, differentiability of vector functions
Directional derivative, gradient, curl, divergence

line and Surface integrals
Gauss, Stokes, and Green Theorem

Function of complex variables and their properties including continuity and differentiability
Analytic functions and CR equations.
Line integrals in complex plane.

Cauchy’s integral theorem
Radius of convergence
Power series
Zeros and singularities
Residue theorem
Taylor’s and Laurent’s series

Iterative method for solution of system of linear equations
Interpolation
Finite differences

Solution of algebraic and transcendental equations
Numerical integration

Laplace transform and its properties
Laplace Transform of special function

Convolution theorem
Evaluation of integrals by Laplace Transform
Solution of initial and boundary value problems

Fourier series & its convergence

Fourier integral representation

Fourier sine and cosine transforms
Fourier Transform
Properties of Fourier Transform

Applications of Fourier series to boundary value problems.

Evaluation process

Candidates will be informed when the URL for the exam registration form for the Engineering Mathematics II training is online. To appear for the exam, candidates must fill the form and pay the fees. After receiving the name of the examination centre, the students must appear for the exam and clear it with a minimum score of 30 out of 75. Also, learners must maintain a 40% score or above in all weekly assignments.

Instructors

IIT Kharagpur Frequently Asked Questions (FAQ's)

1: How many modules does the Engineering Mathematics II course have?

The course consists of five modules. Vector calculus, numerical analysis, complex analysis, Laplace transform, and Fourier series and transform.

2: How will this course benefit me?

The course teaches essential mathematics concepts across all science and engineering undergraduate streams.

3: Where can I find the reference material for the course?

Go to the course site at https://onlinecourses.nptel.ac.in/noc21_ma11/preview and candidates will find the topic ‘Books and references’ below the ‘Course layout’ section.

4: Which national coordinator is in charge of the Engineering Mathematics II training?

For engineering courses, the National Programme of Technology Enhanced Learning (NPTEL) has been appointed as the in-charge.