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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

SageMath is a python based, free and open-source computer algebra system (CAS). The software is being used widely to explore applied linear algebra, calculus, and numerical methods. The Computational Mathematics with SageMath course by Swayam aims to deep dive give practical learning to the applications of SageMath in the concepts mentioned earlier.

The Computational Mathematics with SageMath certification syllabus covers a range of topics like python, classes in python, use of NumPy, SciPy, and SymPy, exploring SageMath, local maximum and minimum, and the like. The AICTE verified course is perfectly suited to students wishing to pursue their careers in the data science or numerical computations industry.

Besides, the Computational Mathematics with SageMath online course is taught by an experienced professor from chemical technology, Mumbai, called Prof. Ajit Kumar. The 8-week course will contain weekly assignments for evaluation through which the students will be able to track their progress.

The Highlights

Free course
Final Examination
Weekly assignments
E-certificate upon completion
100% online course
Elective course type
AICTE approved course
8-week course
Undergraduate/Postgraduate level

Programme Offerings

Elective course type
free course
100% online course
Final examination
8-Week course
Weekly Assignments
Undergraduate/Postgraduate level
E-certificate
AICTE Approved course

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	ICT Mumbai

Computational Mathematics with SageMath online course can be audited for free. However, to get a certificate, candidates need to pay Rs 1,000.

Computational Mathematics with SageMath fee structure

Course option	Fee
Computational Mathematics with SageMath (Audit only)	Free
Computational Mathematics with SageMath (With certificate)	Rs 1,000

Eligibility Criteria

The Computational Mathematics with SageMath online programme requires candidates to know Calculus, Linear algebra, ODE, and numerical methods.

Moreover, to receive a certificate, candidates must attempt the final examination and submit all the weekly assignments. 25% of the average assignment marks obtained in 6 out of 8 assignments will be considered for the final score, along with 75% of the exam score.

Candidates' final score needs to be at least 40 to receive the course certificate, while the average assignment score must be at least ten and the exam score at least 30.

What you will learn

Mathematical skillKnowledge of Python

After finishing the Computational Mathematics with SageMath Certification syllabus, candidates will become expert in the following:

All about Python
Understanding NumPy module
All about SageMath
Understanding the application of derivatives
Exploring vector spaces in SageMath
Understanding linear transformations
All about Eigenvalues and Eigenvectors
Understanding applications with linear algebra
Exploring numerical integration

Who it is for

Teacher

The Computational Mathematics with SageMath certification course is ideal for mathematics and BE students of UG or PG level or teachers in degree colleges interested in learning SageMath and its applications.

Admission Details

Reach Swayam’s website using the link: https://swayam.gov.in/.
Enter “Computational Mathematics with SageMath” in the search tab and select the programme from the drop-down menu.
Find the “Sign-in/Register” button on the course page, click on it to open the account creation page.
On the account page, candidates are required to create a new id or log in using their existing social IDs.
Once the account is created, Swayam will send a verification email. Upon verifying successfully, candidates are ready to begin the course.

Application Details

Applicants interested in the Computational Mathematics with SageMath training are not required to fill any application form. But they have to register for the exam on Swayam’s official website. This can be done by logging in using their existing Microsoft account, Google profile, or Facebook ID or starting a new learning account by providing their email ID, a username, and password details.

The Syllabus

Installation of Python
Getting Started with Python
Python as an advanced calculator
Lists in Python
Tuple, Sets and Dictionaries in Python
Functions and Branching

For loop in Python
While loop in Python
Creating Modules and Introduction to NumPy
Use of NumPy module
Python Graphics using MatplotLib

Use of SciPy and SymPy in Python
Classes in Python - Part 01
Classes in Python - Part 02
Introduction and Installation of SageMath
Exploring integers in SageMath

Solving Equations in SageMath
2d Plotting with SageMath
3d Plotting with SageMath
Calculus of one variable with SageMath - Part 1
Calculus of one variable with SageMath - Part 2
Applications of derivatives

Integration with SageMath
Improper Integral using SageMath
Application of integration using SageMath
Limit and Continuity of real valued functions
Partial Derivative with SageMath
Local Maximum and Minimum

Application of local maximum and local minimum
Constrained optimization using Lagrange multipliers
Working with vectors in SageMath
Solving system of linear Equations in SageMath
Vector Spaces in SageMath
Basis and dimensions of vector spaces in SageMath

Matrix Spaces with SageMath
Linear Transformations Part 1 with SageMath
Linear Transformations Part 2 with SageMath
Eigenvalues and Eigenvectors Part 1 with SageMath
Eigenvalues and Eigenvectors Part 2 with SageMath

Inner Product Part 1 with SageMath
Inner Product Part 2 with SageMath
Orthogonal Decomposition with SageMath
Least Square Solution with SageMath
Singular Value Decomposition (SVD) with SageMath
Application of SVD to image processing
Solving System of linear ODE using Eigenvalues and Eigenvectors

Google Page Rank Algorithm using SageMath
Finding Roots of algebraic and transcendental equations in SageMath
Numerical Solutions of System of linear equations in SageMath
Interpolations in SageMath
Numerical Integration in SageMath
Numerical Eigenvalues

Solving 1st and 2nd order ODE with SageMath
Euler's Method to solve 1st order ODE with SageMath
Fourth Order Runge-Kutta Method
RK4 method for System of ODE and Applications
Solving ODE using Laplace Transforms in SageMath

Introduction to Linear Programming Problems (LPP)
Solving Linear Programming Problmes using Graphical Methods
Basics Definitions and Results in LPP
Theory of Simplex Method
Simplex Methods in SageMath - Part 01
Simplex Methods in SageMath - Part 02
Simplex Methods in Matrix Form

Revised Simplex Method in SageMath
Two Phase Simplex Method in SageMath
Big-M Method in SageMath
Duality of Linear Program
Dual Simplex Method in SageMath
Review and What next in SageMath?

Evaluation process

The Computational Mathematics with SageMath course will have a proctored exam towards the course end. Candidates can access the details for the same once Swayam releases the exam link. They also need to submit the exam registration form and pay the registration fee using the same link.

Swayam will hold the exam in two slots at designated exam centres. You can choose from the morning slot (9 am to 12 pm) and the afternoon slot (2 pm to 5 pm).