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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

Knowledge of AlgorithmsNumerical ability

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

Computer ProgrammerIT Engineer

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