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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 Numerical methods course by Swayam is one of the tremendous courses that has its application in engineering and science fields. This course contains basic mathematical concepts like differentiation, differential equations and integration. In the digital world, numerical computation plays an important role in solving logical operations. In most of these operations, it is difficult to obtain results in an analytical manner. The main objective of this course is to provide algorithms and numerical methods for solving problems.

Real life problems from Engineering and sciences are solved using linear and nonlinear equations. Apart from this, the course also covers matrix problems that are solved using eigenvalues and eigenvectors. It also covers concepts like Jacobi theorem, Interpolation, difference tables, difference operators, forward difference, backward difference, Newton’s divided difference interpolation and Lagrange interpolation.

The system for solving first and second order ordinary differential equations are taught through methods like Euler method, Modified Euler method, Milne PC method and Runge-Kutta method.

This programme helps the engineers to tackle various industrial and engineering related problems. Implementation of numerical methods to solve the problems will make the candidate a great problem solver with high accuracy in problem solving.

The Highlights

8 weeks of course duration
Free course by government of India
Interactive online sessions
Certified course by MHRD
Offers numerous assignments, quizzes and puzzles
Credit transfer
40 presentations

Programme Offerings

E-learning
assessments
Puzzles
discussion forum
Weekly Assignments
quizzes
video lectures

Courses and Certificate Fees

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

The exam fee structure for this course is detailed below:

The Numerical methods course by Swayam is provided at free of cost to all citizens of the nation. The candidate has to pay an amount for the exam to get a certificate. Taking the exam is completely optional.
The exam fee for the programme is Rs.1000

Category	Amount
Exam fee	Rs.1000
Course fee	Free of cost

Eligibility Criteria

Education

Candidates who are currently undergoing their undergraduate programme in any branch of science and engineering can attend this course.

Certification Qualifying Details

On victorious completion of the exam, the participant will be provided with the certificate.

The Numerical methods course by Swayam requires the contenders to score more than 40 percentage marks as the final score. The final score is the aggregate of points from weekly assignments and final exams.

What you will learn

Mathematical skill

The participants would gain knowledge in the following field once they complete the Numerical methods course by Swayam.

Solution of linear equations and nonlinear equations
Errors and significant digits
Solution of differential equations
Forward, Central and Backward difference formula
Roots of linear and nonlinear equations
Trapezoidal and Simpson’s rules
Gerschgorin and Jacobi theorem
Numerical differentiation
Concepts like Eigenvalues, Eigenvectors, and power methods
Operators and tables in Interpolation

Who it is for

The Numerical methods course is designed and intended for the betterment of the following candidates of Swayam.

PG and UG candidates from Applied sciences
PG and UG students from Engineering

Admission Details

The participants who wish to register for the Numerical methods course by Swayam can follow the simple steps that are described below and enrol themselves for the programme.

Step 1: Visit the course website.

Step 2: The candidate can directly sign in if they already have an account else, they need to register using their email ID and name.

Step 3: The candidate has to check for the registration link and register for the programme.

Step 4: Please see that the registration link for the Numerical methods course by Swayam is not active at the moment. The candidate can find admission once the link becomes activated by Swayam.

The Syllabus

Introduction to significant digits and errors
Solution of system of linear Equations (direct methods, Iterative methods, Ill-conditioned systems)

Roots of Nonlinear Equations (Bisection method, Regula-Falsi method, Newton-Raphson method, Fixed point iteration method, convergence criteria

Eigenvalues and Eigenvectors
Gerschgorin circle theorem
Jacobi method
Power methods

Interpolation (Finite difference operators, difference tables, Newton's Forward/Backward difference)

Interpolation ( Central difference formula's i.e. Bessel and Stirling’s interpolation formulae, Divided differences, Lagrange interpolation and Newton’s divided difference interpolation)

Numerical Differentiation (Using Forward/ Backward/central difference formula)

Integration (Trapezoidal and Simpson's rules for integration)

Solution of first order and second order ordinary differential equations (Euler method, Euler modified method, Runge-Kutta methods, Milne PC method)

Evaluation process

The final score is calculated based on the exam score and average assignment score. This score should be more than or equal to 40 percent. More than 10 imprints out of 25 from the assignment is required for a competitor to get into the exam. 75 imprints from the exam and 25 imprints from assignment would be considered for certification. The candidate’s aggregate marks of assignment and exam should be greater than 40 to avail the certificate.

Instructors

IIT Roorkee Frequently Asked Questions (FAQ's)

1: Can the students attend classes via mobiles?

Yes, the students can join the sessions through mobile too. An application is available in the play store. The students can use the app by downloading it at free of cost.

2: How does this course benefit the candidate?

Learning this course would make the candidate solve various problems in the science and engineering domain. This course contains answers to various problems from systems of linear equation, interpolation, integration and numerical differentiation.

3: Are the final exams held online?

No, only the sessions are held online. The exam is held offline in various cities of the country. Only the registered candidates are allowed for the exam. The candidate has to register for the exam by paying a fee as mentioned in the website.

4: Is there any eligibility to attend these courses?

No, there is no eligibility criteria to attend the courses. All students from 9th standard to PG can attend all the courses at free of cost.

5: What do you mean by credit transfer?

The credits obtained from the exam of Swayam courses can be transferred to the student’s academic records. AICTE has put out a gazette notification for the adoption of the credit transfer. The credit transfer allows the student to elevate their grades in semesters.

6: Can the contender attend more than one course at a time?

Yes, the contender can attend multiple courses if he/she wishes to learn more. The candidate can enrol individually for every course that he/she wants to attend and they can find the courses under my courses column.

7: How does the certificate reach the candidate?

E-certificate is provided to the candidate on successful completion of the course and exam. Hard copies are provided. The certificate contains the candidate's photograph, name, and score along with the logos of NPTEL and IIT.

8: What is the course duration?

The duration of the Numerical methods course is 8 weeks. During that period various assessments, weekly assignments are provided additionally to improve the problem solving ability of the candidate.

9: What are the industries that accept this certification?

The industries like Intel, General Motors, Nuclear Industries, TCS, ABB, and General electric accept the certification.

10: What is the fee structure of the programme?

The entire course is available at free of cost to all citizens of India by the government of India. The participants must pay the examination fee if they are willing to take an exam to get a certificate from Swayam.