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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 Swayam programme is initiated by the Indian government which targets to provide education to all among the youth of India. They have courses divided into nine categories, keeping in mind all students across India. Their courses are free of cost and each category has a number of courses that are beneficial for a better professional life.
Numerical analysis is also known as computational mathematics is a course offered by swayam, which is basically needed to solve the problem and design functions on a computer. Some problems and functions are very complex and long and thus cannot be done by simple algebra and hence many mathematicians, physicians, and experts from other fields resort to the use of numerical analysis. It is used as a substitution for the complex methods of solving problems like definite integration, differential equations, interpolation, and many more. It is a time-saving formula.
It is a very important and common topic. Some universities offer it as a core course. Any student from the field of engineering, computer science, mathematics, statistics, electronics, chemistry, or physics and opt for this. It is an interdisciplinary course used by many teachers, researchers, students, etc.
The Highlights
- Assignment, discussion and evaluation
- Personal instructor
- Books referred
- Certificate by the government
Programme Offerings
- online videos
- online discussions
- Immediate evaluation
Courses and Certificate Fees
| Certificate Availability | Certificate Providing Authority |
|---|---|
| yes | Vidyasagar University |
There is no fee for this course but a registration fee (which will be declared later. Please visit the website regularly for the latest updates) has to be paid for getting the certificate.
Eligibility Criteria
Certification qualifying details
Candidates are required to appear for a proctored online examination by paying an amount for it. Those who clear it thus adhering to the eligibility criteria will be awarded the certificate of completion.
What you will learn
At the end of this course, candidates will be able to solve numerical problems easily using numerical analysis after learning different techniques like interpolation and several program codes.
Who it is for
Admission Details
Get yourself enrolled in this Numerical Analysis by Swayam by following the steps given below :
Step 1- visit the course webpage.
Step 2- register and create a new account.
Step 3- if there is a registration link provided by your course click on it and proceed further.
Step4- save this id and password for future access to your course.
The Syllabus
- Ch 1 Mod 1: Error in Numerical Computations
- Ch 1 Mod 2: Propagation of Errors and Computer Arithmetic
- Ch 1 Mod 3: Operators in Numerical Analysis
- Ch 2 Mod 1: Lagrange’s. Interpolation
- Ch 2 Mod 2: Newton’s Interpolation Methods
- Ch 2 Mod 3: Central Deference Interpolation Formulae
- Ch 2 Mod 4: Aitken’s and Hermite’s Interpolation Methods
- Ch 2 Mod 5: Spline Interpolation
- Ch 2 Mod 6: Inverse Interpolation
- Ch 2 Mod 7: Bivariate Interpolation
- Ch 3 Mod 1: Least Squares Method
- Ch 3 Mod 2: Approximation of Function by Least Squares Method
- Ch 3 Mod 3: Approximation of Function by Chebyshev Polynomials
- Ch 4 Mod 1: Newton’s Method to Solve Transcendental Equation
- Ch 4 Mod 2: Roots of a Polynomial Equation
- Ch 4 Mod 3: Solution of System of Non-linear Equations
- Ch 5 Mod 1: Matrix Inverse Method
- Ch 5 Mod 2: Iteration Methods to Solve System of Linear Equations
- Ch 5 Mod 3: Methods of Matrix Factorization
- Ch 5 Mod 4: Gauss Elimination Method and Tri-diagonal Equations
- Ch 5 Mod 5: Generalized Inverse of Matrix
- Ch 5 Mod 6: Solution of Inconsistent and Ill Conditioned Systems
- Ch 6 Mod 1: Construction of Characteristic Equation of a Matrix
- Ch 6 Mod 2: Eigenvalue and Eigenvector of Arbitrary Matrices
- Ch 6 Mod 3: Eigenvalues and Eigenvectors of Symmetric Matrices
- Ch 7 Mod 1: Numerical Differentiation
- Ch 7 Mod 2: Newton-Cotes Quadrature
- Ch 7 Mod 3: Gaussian Quadrature
- Ch 7 Mod 4: Monte-Carlo Method and Double Integration
- Ch 8 Mod 1: Runge-Kutta Methods
- Ch 8 Mod 2: Predictor-Corrector Methods
- Ch 8 Mod 3: Finite Difference Method and its Stability
- Ch 8 Mod 4: Shooting Method and Stability Analysis
- Ch 9 Mod 1: Partial Differential Equation: Parabolic
- Ch 9 Mod 2: Partial Differential Equations: Hyperbolic
- Ch 9 Mod 3: Partial Differential Equations: Elliptic
Evaluation process
The certificate shall contain the candidate's name, photograph, and final score.
In order to get the certificate for this course, the candidate is expected to meet the following criteria:
- Out of the total of 13 assignments given in this course, the score of the best 8 assignments should be 30 [er cent
- The exam score should be 70 percent out of 100 of the proctored certificate course
- The final score and assignment score should be at least 40 percent separately
- Final score = assignment score + exam score
- To get the certificate, the final score shall be at least 40 percent
Instructors
Vidyasagar University Frequently Asked Questions (FAQ's)
This is a course belonging to the category of mathematics at a postgraduate level.
The Numerical Analysis by Swayam is a 15 weeks course.
E-certificate will be provided to the candidates.
The announcement will be made when the registration form will be made available for registrations. Check the website regularly for more information.
You can visit their webpage: https://swayam.gov.in/about.
Currently, there are 1433 course takers.
You can visit the webpage of the Numerical Analysis course. The full and detailed information about the instructor is given there.
The fees for the certificate will be declared later. Please visit their website for more information.