Get updates on Eligibility, Admission, Placements Fees Structure
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)
The course consists of five modules. Vector calculus, numerical analysis, complex analysis, Laplace transform, and Fourier series and transform.
The course teaches essential mathematics concepts across all science and engineering undergraduate streams.
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.
For engineering courses, the National Programme of Technology Enhanced Learning (NPTEL) has been appointed as the in-charge.