Computational Mathematics with SageMath Course | Free Online Training
Course Details
| Exam Registration | 179 |
|---|---|
| Course Status | Ongoing |
| Course Type | Elective |
| Language | English |
| Duration | 12 weeks |
| Categories | Mathematics, Foundations of Mathematics, Algebra |
| Credit Points | 3 |
| Level | Undergraduate/Postgraduate |
| Start Date | 19 Jan 2026 |
| End Date | 10 Apr 2026 |
| Enrollment Ends | 02 Feb 2026 |
| Exam Registration Ends | 20 Feb 2026 |
| Exam Date | 17 Apr 2026 IST |
| NCrF Level | 4.5 — 8.0 |
Unlock the Power of Open-Source Mathematics: A Comprehensive Guide to the SageMath Course
In today's data-driven world, the ability to translate complex mathematical concepts into computational solutions is an invaluable skill. For students and professionals in mathematics, engineering, and data science, finding the right tools to bridge theory and practice is crucial. Enter SageMath, a powerful, Python-based, free and open-source computer algebra system (CAS). We are excited to introduce a detailed, 12-week course designed to master this very tool: Computational Mathematics with SageMath, led by an esteemed expert in the field.
Meet Your Instructor: Prof. Ajit Kumar
The course is guided by Prof. Ajit Kumar, Associate Professor and Head of the Department of Mathematics at the Institute of Chemical Technology, Mumbai. With a Masters and Ph.D. from the University of Mumbai, Prof. Kumar's expertise spans Optimization Techniques, Data Analysis, and Mathematical Pedagogy. A prolific user of mathematical software like SageMath, Python, R, and MATLAB, he is a recognized authority who has been invited to speak at national and international forums.
Prof. Kumar's commitment to education is further evidenced by his long-standing association with the prestigious Mathematics Training and Talent Search (MTTS) Programme, where he currently serves as the Managing Trustee. This course is born from his extensive experience in training both students and teachers, ensuring a pedagogy that is both deep and accessible.
Who is This Course For?
This course is meticulously designed for a broad audience:
- Undergraduate and Postgraduate students in Mathematics, Engineering, and related fields.
- BE Students looking to strengthen their computational and applied mathematics skills.
- Teachers and Educators at the UG/PG level seeking to integrate powerful computational tools into their curriculum.
- Professionals in industries reliant on data science, numerical computations, and mathematical modeling.
Prerequisites: A basic knowledge of Calculus, Linear Algebra, Ordinary Differential Equations (ODE), and Numerical Methods is recommended to fully benefit from the course material.
Course Overview: What Will You Learn?
This 12-week journey is structured to take you from the fundamentals of programming to solving advanced mathematical problems. The course leverages SageMath to explore and visualize core concepts, making abstract ideas tangible.
Detailed 12-Week Course Layout
| Week | Core Topics |
|---|---|
| Weeks 1-2 | Python Foundation: Installation, basics, data structures (lists, tuples, sets, dictionaries), functions, loops, modules, and an introduction to key scientific libraries (NumPy, Matplotlib, SciPy, SymPy). |
| Week 3 | Introduction to SageMath, installation, exploring integers, and solving equations. |
| Weeks 4-5 | Calculus with SageMath: 2D/3D plotting, single-variable calculus (limits, derivatives, applications, integration), multivariable calculus (partial derivatives, optimization with Lagrange multipliers). |
| Weeks 6-8 | Applied Linear Algebra: Vectors, solving linear systems, vector spaces, basis, dimension, matrix spaces, linear transformations, eigenvalues/eigenvectors, inner products, SVD, and applications (Google PageRank, image processing). |
| Weeks 9-10 | Numerical Methods: Root finding, numerical linear algebra, interpolation, numerical integration, solving ODEs (analytically and numerically using Euler and RK4 methods), Laplace transforms. |
| Weeks 11-12 | Linear Programming (LP): Introduction to LPP, graphical methods, Simplex Method (standard, revised, two-phase, Big-M), duality theory, and the Dual Simplex Method. |
Why Learn SageMath?
SageMath stands out as a unified, open-source alternative to commercial software like MATLAB, Mathematica, and Maple. It combines the power of over 100 open-source packages under a single, Python-based interface. This course will empower you to:
- Perform symbolic and numerical mathematics seamlessly.
- Create compelling 2D and 3D visualizations for better understanding.
- Solve complex problems in algebra, calculus, and optimization.
- Build a strong foundation for advanced topics in data science and computational research.
Essential Resources and Textbooks
To complement the course lectures, Prof. Kumar recommends several excellent, largely open-access resources:
- Primary Resource: The official SageMath website.
- Mathematical Computation with Sage by Paul Zimmermann (available on the SageMath site).
- A First Course in Linear Algebra by Robert Beezer (free online).
- Abstract Algebra: Theory and Applications by Tom Judson and Robert Beezer (free online).
- An Introduction to SAGE Programming by Razvan A Mezei (Springer).
- Group Theory: An expedition with SageMath by Ajit Kumar and Vikash Bist (Narosa, 2021).
Enroll in Your Journey to Computational Mastery
Computational Mathematics with SageMath is more than just a software tutorial; it's a comprehensive training program that builds a robust bridge between mathematical theory and its practical, computational implementation. Guided by an expert with a proven track record in education, this course offers a unique opportunity to acquire skills highly valued in academia and industry alike.
Whether you aim to enhance your academic research, boost your employability in tech and data roles, or simply bring a powerful new tool into your mathematical toolkit, this 12-week course provides the structured path to get there. Embrace the world of open-source computational mathematics and transform how you solve problems.
Enroll Now →