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 for Engineers course by Swayam is designed to give an overview of various numerical methods that are of great interest to scientists and engineers. This course focuses on the numerical techniques, its analysis and its properties. The theory behind numerical methods and applications of them are also discussed. Numerical methods are mainly used by computers to solve iterative and step-wise problems which are tedious to solve by hands.
This course covers concepts like curve fitting, interpolation, regression, linear systems and mathematical concepts like algebra, integration and differentiation. Various computational tools like FLUENT, Aspen, FORTRAN and MATLAB are used for teaching. Algebraic equations are solved using open and bracketing methods like Regula-Falsi, Bisection, Secant, Multivariate Newton’s method, Newton Raphson and Fixed point iteration.
The 12-week programme comprises weekly assignments and 2.5 hours of video tutorial every week. A discussion forum for clearing the doubts of the participants is also available. This course would greatly benefit the candidate to improve their problem solving ability.
The Highlights
- Online learning
- Discussion forum for dispelling doubts
- Weekly assessments and assignments
- Puzzles
- Credit transfer
- Quizzes
- The course is available at free of cost
- Video tutorials
Programme Offerings
- video tutorials
- tests
- Work Sheets
- Puzzles
- discussion forum
- E-classes
- Weekly Tasks.
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Madras (IITM) |
The Numerical Methods for Engineers course by Swayam is provided at free of cost by the government of India. The candidate must pay an exam fee if he/she is willing to take the examination.The exam fee for this particular course is Rs.1,000
The exam fee structure for this course is detailed below:
Category | Amount |
Exam fee | Rs.1,000 |
Eligibility Criteria
Education
Students who are currently pursuing UG in any branch of engineering and science shall take up this course.
Certification Qualifying Details
After completing the course, the Participant will be awarded a certificate on completion of the examination.
The Numerical Methods for Engineers course by Swayam needs the participants to score 40 marks out of 100 in the final score. The final score is calculated by summing 25 marks from weekly assignments and the rest of the marks from examination post course completion.
What you will learn
On successful completion of the Numerical Methods for Engineers course, the participant may excel in the following areas which include
- Rules like a trapezoidal rule, Cramer’s rule and Simpson rule
- Avoid errors due to truncation and rounding off and error analysis
- Fixed point and secant iteration
- Integration, regression and differentiation concepts
- Methods to solve algebraic equations
- Matrix representation, Gauss elimination, Cramer’s rule, LU Decomposition, Eigenvalues, Iterative and relaxation methods in linear systems.
- Regression concepts like least squares and linear regression
- Initial and boundary value problems
Who it is for
The Numerical Methods for Engineers course by Swayam is fundamentally intended for the following participants
- UG students from Sciences
- UG candidate from Computational Engineering field
- UG participants from Computational Mechanics domain
- UG participants from Computational Chemical Engineering field
Admission Details
The participants may follow the simple registration steps that are given below to register for the Numerical Methods for Engineers course by Swayam.
Step 1: Visit the Swayam portal through the link https://onlinecourses.nptel.ac.in/
Step 2: The participant must have an account in Swayam to register for the courses. They can Sign in if they already have an account.
Step 3: If the candidate doesn’t have an account he/she can register using mail ID and name.
Step 4: The registration link this course is not active presently. The candidate can wait for the registration link to get open.
The Syllabus
- Binary Number System
- Motivation and Applications
- Accuracy and precision
- Error propagation
- Truncation and round-off errors
- Matrix representation
- Cramer’s rule
- Gauss Elimination
- Matrix Inversion
- LU Decomposition
- Iterative Methods
- Relaxation Methods
- Eigen Values
Bracketing Methods
- Introduction to Algebraic Equations
- Bracketing methods: Bisection
- Reguli-Falsi
Open Methods
- Secant
- Fixed point iteration
- Newton-Raphson
- Multivariate Newton’s method
- Numerical differentiation
- error analysis
- higher order formulae
- Trapezoidal rules
- Simpson’s rules
- Quadrature
- Linear regression
- Least squares
- Total Least Squares
- Interpolation
- Newton’s Difference Formulae
- Cubic Splines
Initial Value Problems
- Introduction to ODE-IVP
- Euler’s methods
- Runge-Kutta methods
- Predictor-corrector methods
- Extension to multi-variable systems
- Adaptive step size
- Stiff ODEs
Boundary Value Problems
- Shooting method
- Finite differences
- Over/Under Relaxation (SOR)
Evaluation process
A final score is determined based on the assignment score and the test score. This examination score should be more prominent than or equivalent to 40. A test for 100 marks will be held.
75 marks from that test and 25 marks from assignment would be considered for certification. In excess of 10 marks from assignment and in excess of 30 marks from the test is required for a contender to get a certificate from Swayam.