21 Courses and Certifications

NPTEL Mathematics Courses & Certifications

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Differential Equations for Engineers

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Differential Equations For Engineers

The Differential Equations For Engineers certification course introduces essential differential equations and their solution methods to students in physical, and mechanical sciences, and engineering. Covering both ordinary and partial differential equations, it equips students with vital skills for analysing and solving equations prevalent in scientific and engineering contexts.

With the Differential Equations For Engineers certification by Swayam, students delve into topics such as the classification of differential equations, analytical and numerical solution methods, and practical applications in engineering. Students gain a solid understanding of differential equations, enabling them to tackle mathematical challenges in their respective fields confidently.

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12 Weeks
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Measure Theory

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Measure Theory

The measure Theory Certification course is a 12-week online programme that offers a comprehensive exploration into the fundamental concepts and applications of measure theory. Students will gain a deep understanding of the theoretical foundations of measure theory and its practical significance in mathematical physics with the Measure Theory Certification by NPTEL.

The measure Theory training will develop the analytical skills necessary to tackle advanced mathematical problems and applications. Students are equipped with a solid foundation in measure theory, empowering them to engage with complex mathematical concepts. They are at the same time provided with a versatile toolkit for solving real-world problems.

Also Read: Online Mathematics Certification Courses

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12 Weeks
Commutative Algebra

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Certificate

Commutative Algebra

The Commutative Algebra Certification course is a 12-week online programme that provides students with a comprehensive exploration of the foundational principles and advanced topics within the field of abstract algebra. Students delve into the fundamental theorems of algebra through the Commutative Algebra Certification by NPTEL.

The online course develops proficiency among students in manipulating algebraic structures, proving theorems, and solving problems related to commutative rings and modules. The Commutative Algebra certification training strengthens the analytical skills necessary to tackle complex problems in algebraic structures and their applications.

Also Read: Online Mathematics Certification Courses

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12 Weeks
Introduction to Algebraic Topology Part-II

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Introduction to Algebraic Topology (Part-II)

The Introduction to Algebraic Topology (Part-II) Certification course is a 12-week online programme that delves deeper into the fundamental concepts and techniques of algebraic topology. Students are offered a comprehensive exploration of algebraic structures and topological spaces, focusing on their interplay and applications through the Introduction to Algebraic Topology (Part-II) Certification by NPTEL.

The Introduction to Algebraic Topology (Part-II) training provides a combination of lectures and problem-solving sessions. They will gain a comprehensive understanding of these abstract mathematical structures and their applications in various branches of mathematics. Thus, they will be able to apply them to solve complex problems and contribute to ongoing research in the field. 

Also Read: Online Mathematics Certification Courses

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12 Weeks
Partial Differential Equations

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Certificate

Partial Differential Equations

The Partial Differential Equations Certification course is a 12-week online programme that offers a comprehensive exploration of differential equations. Students are provided with a deep understanding of their mathematical foundations and practical significance across various fields through the Partial Differential Equations Certification by NPTEL.

The online course equips students with the analytical and computational tools necessary to tackle real-world problems, providing invaluable skills applicable to research. The Partial Differential Equations certification training empowers them to confidently navigate the complex landscape of partial differential equations and unlock new opportunities for innovation and discovery.

Also Read: Online Mathematics Certification Courses

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12 Weeks
Numerical Analysis

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Certificate

Numerical Analysis

The Numerical Analysis Certification course is a 12-week online programme that offers a comprehensive exploration of fundamental numerical methods and techniques essential for solving complex mathematical problems. Students are provided with the theoretical foundations and practical applications of numerical algorithms through the Numerical Analysis Certification by NPTEL.

The Numerical Analysis training equips students with the skills necessary to effectively analyse and solve real-world problems using numerical methods. The course masters the art of numerical computation and analysis. They will gain proficiency in implementing numerical algorithms using programming languages such as Python, MATLAB, or R.

Also Read: Online Programming Certification Courses

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12 Weeks
Skills Covered:
R Programming Knowledge of Python Knowledge of MATLAB
Advanced Mathematical Methods for Chemistry

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Matrix Computation and its applications

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Certificate

Matrix Computation and its applications

The Matrix Computation and its Applications certification course is a 12-week duration programme. To join this certification course the students must have a basic knowledge of matrix theory. The course provides a comprehensive curriculum to the candidates such as an introduction to binary operations, vector spaces, subspaces, and linearly independent and dependent vectors.

 The Matrix Computation and its Applications certification by NPTEL is designed for undergraduate and postgraduate students. The certification course focuses on applications of matrices in various areas of engineering and science. Students gain hands-on experience and will be able to apply the learned concepts in real-world scenarios with the support of leading industry experts from IIT Delhi.

Also Read: Online Mathematics Courses & Certifications

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12 Weeks
Introduction to Probability Theory and Statistics

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Certificate

Introduction to Probability Theory and Statistics

The duration of the Introduction to Probability Theory and Statistics certification course is 12 weeks. The prerequisite for this course is the students must have a basic course on Linear Algebra and Calculus. The course curriculum covers a wide range of topics related to concepts of probability theory and statistics.

 This certification course is a core type and is designed for Undergraduate and Postgraduate students. The Introduction to Probability Theory and Statistics certification by NPTEL equips the candidates with essential skills and knowledge to apply the learned concepts for handling various real-world problems. Students will gain hands-on experience with the support of industry experts.

Also Read: Online Mathematics Courses & Certifications

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12 Weeks
Free
Advanced Linear Algebra

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Certificate

Advanced Linear Algebra

12 Weeks
19 January 2025 - 10 April 2025
Algebraic Number Theory

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Certificate

Algebraic Number Theory

12 Weeks
19 January 2025 - 10 April 2025
Constrained And Unconstrained Optimization

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Certificate

Constrained And Unconstrained Optimization

12 Weeks
19 January 2025 - 10 April 2025
Computational Number Theory and Algebra

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Certificate

Computational Number Theory and Algebra

12 Weeks
19 January 2025 - 10 April 2025
Computational Science in Engineering

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Certificate

Computational Science in Engineering

The Computational Science in Engineering certification course enables students to understand the needs of the rapidly evolving field of computer science. Students can approach a wide array of challenges in the areas of social sciences and engineering through the power of computation. Spread over eight weeks, the course falls under the domain of Aerospace engineering. 

The Computational Science in Engineering certification syllabus ensures that students understand the different engineering and science phenomena via simulations. They are taught the much-required mathematical modeling skills, efficient algorithms, numerical analysis, software design, computer architecture, and much more. 

The goal of the Computational Science in Engineering training is to let students explore the basics of scientific computing. This includes the framework observed in applied mathematics such as ODEs, Linear algebra, and PDEs. Students who sign up for this undergraduate course are taught by Professor Ashok De, Associate Professor, Department of Aerospace Engineering at IIT Kanpur currently 

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8 Weeks
19 January 2025 - 13 March 2025
Free
Skills Covered:
Mathematical skill
Modern Algebra

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Certificate

Modern Algebra

The Modern Algebra certification course explores algebra's role in abstracting geometric concepts and numbers, offering insights into their fundamental properties and enabling manipulations beyond direct means. It caters to undergraduate science and engineering students over an 8-week duration, highlighting algebra's pivotal applications in real-world scenarios, especially within Computer Science and Engineering's foundational realm.

With the Modern Algebra certification by Swayam, students delve into algebra's abstract nature, grasping its profound implications on geometry and numeric principles. By manipulating these abstractions, the course showcases how algebra fuels real-life mathematical applications, serving as a vital toolset for problem-solving and computation in science, engineering, and computing disciplines.

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8 Weeks
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Mathematics for Chemistry

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Certificate

Mathematics for Chemistry

8 Weeks
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Advanced Course on Partial Differential Equations - II

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Certificate

Advanced Course on Partial Differential Equations - II

8 Weeks
16 February 2025 - 10 April 2025
Basic Concepts of Modal Logic

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Basic Concepts of Modal Logic

4 Weeks
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Engineering Mathematics - I in Assamese

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Certificate

Engineering Mathematics - I in Assamese

The Engineering Mathematics - I in Assamese certification course serves as a cornerstone for studies in sciences and engineering. Covering differential and integral calculus, linear algebra, and differential equations, it addresses topics like derivatives, integrals, matrix algebra, and differential equation solutions. The course equips students with indispensable mathematical tools vital across diverse scientific disciplines.

Catering to a broad audience in science and engineering fields, the Engineering Mathematics - I in Assamese certification by Swayam emphasises essential mathematical principles. It navigates through Mean Value Theorems, Maxima and Minima, Vector Spaces, Eigenvalues, and more, providing a robust framework for understanding complex problem-solving techniques.

Also Read: Online Mathematics Certification Courses

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Introduction to Methods of Applied Mathematics

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Introduction to Methods of Applied Mathematics

The Introduction to Methods of Applied Mathematics certification course is a 12-week duration programme. The prerequisite for this course is some basic knowledge of Calculus, differential equations, and topics related to Mathematics - I, II will be an added advantage. The certification course focuses on the important topics used by all the branches of Science and Engineering. 

The certification course is elective and can be pursued by anyone interested in applied mathematics. The Introduction to Methods of Applied Mathematics certification by NPTEL covers a comprehensive curriculum that includes an introduction to first-order linear and non-linear ordinary differential equations (ODE), Riccati equation, and Solving second-order ODE.      

Also Read: Online Mathematics Courses & Certifications

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