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 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
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. 1,000
Category | Amount |
Exam fee | Rs. 1,000 |
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
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.