Page 12 - Best Free Swayam Courses & Certifications - Eligibility, Fees, Syllabus, Career Options

Offered by

IIT Kharagpur via Swayam

Certificate

Introduction to Industry 4.0 and Industrial Internet of Things

Introduction to Industry 4.0 and Industrial Internet of Things program is the result of an initiative of the Ministry of Education, Government of India. It is an AICTE approved FDP course that focuses on how industrial processes have changed through the integration of modern technology. These modern technologies include sensors, computational processing, communication, machine learning, the internet of things data analytics, the industrial internet of things, and much more. the Introduction to Industry 4.0 and Industrial Internet of Things certification is designed by IIT Kharagpur, an esteemed institute of education. The educator of the course will be professor Sudhip Mishra, a highly reputed professor with numerous awards.

Introduction to Industry 4.0 and Industrial Internet of Things is an online course. Participants will be taught the syllabus for a duration of twelve weeks. Along with video lectures, the participants will also have case studies, periodic assignments, and a final exam to help them imbibe maximum information from the course.

12 Weeks

₹ Free

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Skills Covered:

Machine learning Data science knowledge Knowledge of cloud computing

Offered by

Madurai Kamaraj University via Swayam

Certificate

Fundamental of Insurance

The Swayam website hosts the Fundamental of Insurance course. Swayam is a program initiated by the government of India to make education accessible to every Indian, irrespective of their economic standing. The course imparts basic knowledge to a student who requires knowledge to get into the insurance industry.

Swayam gives all its courses free of cost, although the course materials are created by leading experts in different fields. But candidates who want to have a certificate from the course have to write an end-term exam for which they need to pay a small exam fee. The highly acclaimed course instructor, Dr. K. Uma, is a faculty member of Madurai Kamraj University.

In a risky environment, insurance is an absolute necessity because it protects individuals and businesses from unexpected losses. But due to a lack of awareness among people, the insurance penetration and density in India is very low. The Fundamental of Insurance course by Swayam hopes to spread awareness about the basic concepts of insurance and make it more widespread throughout the country.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of insurance field

Offered by

IIT Madras (IITM) via Swayam

Certificate

Intellectual Property

The Intellectual Property by Swayam program on Intellectual Property is a substantive course formulated for students across a diverse field. . The online certification program will be providing a brief overview of the “intellectual property” landscape in the Indian subcontinent. The Intellectual Property training will also make the applicants aware of the role of intellectual property in the modern intangible economy.

The Intellectual Property certification can be offered as a generic elective subject under the Choices that are being provided under the based credit system in affiliated colleges and universities as suggested by UGC. The Intellectual Property certification syllabus will be covered over a period of twelve weeks.

The topics that will be covered are- Trademark, Government's role in fostering IP, Enforcement of IP—protecting your rights and other topics related directly or indirectly to intellectual property rights. Hence after completing the Intellectual Property online course the students will learn to formulate and strategies policies to deal with the issues pertaining to intellectual properties.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of law

Offered by

IIT Madras (IITM) via Swayam

Certificate

Patent Law for Engineers and Scientists

The Patent Law for Engineers and Scientists certification course offers candidates a good understanding of the law of patent. The course offers the aspirants a better grip of learning on the fundamentals of the analysis. Experts will be conducting the sessions and exposing them to various industries based on their experience.

All the terms have been discussed with examples in the course. Discussion forums have been kept for every module so that the candidates are able to have crystal clear learning on every terminology. Quizzes comprises questions which are on the topic held by IIT Madras. Requirements of patentability have been laid emphasis on during the patent law for engineers and scientists nptel online course.

The Patent Law for Engineers and Scientists training also comes with certification where the candidates can use the certificate for applying in any of the industries. The candidates will gain skills on drafting a patent specification and several implementations of person skilled art. The video lectures can be watched depending upon the availability of the course.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of law

Offered by

NLU Hyderabad (NALSAR) via Swayam

Certificate

Online Refresher Course in Law

This Online Refresher Course in Law certification course will help to trace the recent development in the legal field and train the candidate on various innovations in the technical world to equip themselves as law teachers or instructors practicing critical teaching in law. The growth of legal specializations in a rapid way has led to fragmentation in understanding the legal world and Online Refresher Course in Law training helps to address that by enhancing the understanding of law in generic ways.

The Online Refresher Course in Law program helps to inform about the legal controversies and developments which is essential knowledge for law scholars in all specializations. This course also helps the candidate to advance interdisciplinary learning on how knowledge from other areas can help in deepening understanding of law as well as using interdisciplinary knowledge to illustrate how development in a given field can impact its associated field.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of International law

Offered by

NLSIU Bangalore via Swayam

Certificate

Constitution of India and Environmental Governance: Administrative and Adjudicatory Process

The ‘Constitution of India and Environmental Governance: Administrative and Adjudicatory Process’ online certification course is an interdisciplinary course developed for the students to discuss and learn about the different legal aspects associated with environmental management and the governance of natural resources. This National Program for Technology Enhanced Learning(NPTEL) free program is provided by the Swayam online education portal by the government of India. The participants of this course can complete the course of study in twelve weeks.

The instructor for this core course is Dr. Sairam Bhat, a professor teaching law at the National Law School of India University, Bengaluru. The students of this course will gain insights from a wide range of disciplines environmental economics, ecological sciences, biochemistry, human rights, sociology, anthropology, and political aspects.

The ‘Constitution of India and Environmental Governance: Administrative and Adjudicatory Process’ online training enables students to get a certificate and credit points after completing the course.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of law Knowledge of Economics Knowledge of Environmental Science

Offered by

IGNOU via Swayam

Certificate

BLI-011: Libraries: An Introduction

The BLI-011: Libraries: An Introduction online course will help you to learn the concepts of libraries through the lens of society. It provides a deep dive into the types of libraries and the functions of libraries amongst us.

The online course gives a holistic perspective by giving us insights into how libraries can impact and benefit society. Though libraries have existed for long, it has evolved and changed to be more modern for the youth of today. Hence, the course also discusses the current landscape in detail.

The BLI-011: Libraries: An Introduction programme is tutored by Dr Archna Shukla, who has immense experience in libraries through research and professional experience. This will invoke new perspectives and ideas on enhancing the role of libraries efficiently.

The BLI-011: Libraries: An Introduction course is also beneficial for anyone who wants to understand what it entails to be a librarian. The course is also equipped with weekly quizzes to learn the course thoroughly and evaluate the improvement.

12 Weeks

₹ Free

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Offered by

IIT Roorkee via Swayam

Certificate

Integrated Marketing Communication

Integrated Marketing Communication Certification is developed with a blend of theoretical lectures and various examples which will provide insights into real-life scenarios. It is the process of unifying a brand’s messaging for making it the same across all media platforms that the brand does use for its target audience.

Integrated Marketing Communication Classes will help participants get familiarized with the integration of marketing communication modes and strategies for building brands.

All students enrolling for the course get an Integrated Marketing Communication Certification from the Indian Institute of Technology Roorkee (IIT Roorkee) under the Swayam Initiative by the Government of India.

12 Weeks

₹ Free

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Skills Covered:

Marketing skills

Offered by

IIT Kharagpur via Swayam

Certificate

Management of Inventory Systems

The onset of globalisation and liberalisation in the Indian economy has increased the amount of competition faced by Indian industries. To ensure continuous improvement, there must be a focus on inventory/ material management systems. The Management of Inventory Systems certification course aims to provide training in this domain.

The course on Management of Inventory Systems by Swayam falls under the Management domain and is created by IIT Kharagpur. It is divided over 12 weeks and consists of 30 hours worth of lectures and video tutorials. The contents of the curriculum are highly comprehensive and relevant to the current industry scenario, as this is a core course at the university level.

This programme is an AICTE-approved FDP course and candidates can enrol for free. Throughout the course, students will work on 12 graded assignments, whose score will go towards calculating their final score. Candidates enrolled in the Management of Inventory Systems online course will learn about the various problem areas in inventory management, how to deal with risk, uncertainty, etc.

12 Weeks

₹ Free

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Skills Covered:

Supply Management

Offered by

IIT Delhi via Swayam

Certificate

Advanced Probability Theory

Advanced Probability Theory program is a core course in mathematics designed for undergraduate and postgraduate students who want to learn probability concepts from Kolmogorov’s Axioms. This financial industry-supported course will cover a variety of topics in 12 weeks.

Advanced Probability Theory certification will be conducted through a series of online lectures and regular assignments. Participants of the course can also appear for the final exam in person and gain a certificate upon passing all the criteria. The educator for this course is Professor Niladri Chatterjee from IIT Delhi.

Advanced Probability Theory will go through topics such as cumulative function distribution, probability density function and provide an introduction to the concept of a random variable. Participants will also learn about probability distributions, the function of one or two random variables, and the overview of order statistics. This is an AICTE approved program that also provides a list of books and references for the benefit of the participants.

12 Weeks

19 January 2025 - 10 April 2025

₹ Free

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Skills Covered:

Statistical skills

Offered by

IIIT Bangalore via Swayam

Certificate

Discrete Mathematics

Discrete mathematics is a branch of mathematics and a language of Computer Science used in fields such as data science, software engineering and machine learning. This branch involves the usage of algebra and arithmetic and involves discrete elements. The Discrete Mathematics online course by Swayam intends to explore and explain the topic of discrete mathematics over the course of 12 weeks.

The Discrete Mathematics program will introduce you to various mathematical concepts and theories to help you solve problems and apply proof techniques. The programme endeavours to help you grasp some of the essential ideas in discrete mathematics. The IITB certification also features concepts such as Graph theory, Cardinality theory, Combinatorics, basic number theory, etc. in detail.

The Discrete Mathematics certification course is an undergraduate and postgraduate level course. It falls in the ‘Computer Science and Engineering’ and ‘Foundations of Computing’ categories. Designed by IIT Bangalore, the course has been approved by AICTE and offered by Swayam as a free online learning source.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Gandhinagar (IIT GN) , IIT Ropar (IIT-RPR) via Swayam

Certificate

Discrete Mathematics

Discrete Mathematics is known as the language of computer science. Learning discrete mathematics is going to be useful in many fields like data science, software engineering and machine learning.

In this course, students will be solving math puzzles with proofs and their explanations to understand the concept of Discrete Mathematics thoroughly. The concepts of discrete mathematics today are used in various ways to understand different scenarios and the problems in all branches of computer science, such as programming languages, automated theorem proving, software development, computer algorithms and cryptography.

Swayam Discrete Mathematics Course is designed in a way to make sure students learn the concept of discrete mathematics in a fun way so they can understand its applications easily.

Students don't need to have any prerequisites for this course, just a basic understanding of high school level algebra and arithmetic is required.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Gandhinagar (IIT GN) , IIT Ropar (IIT-RPR) via Swayam

Certificate

Discrete Mathematics

Mathematical concepts are often complicated, and you might get bored learning them through the traditional chalk and board method. Hence, IIT Ropar has developed an innovative and creative course to teach discrete mathematics through the Discrete Mathematics certification course. The 12-week-long online programme lays emphasis on problem-solving skills and logical thinking.

Discrete mathematics is a significant branch of mathematics used in machine learning, data science, and software engineering. The Discrete Mathematics- IIT Ropar online course has been designed to make learning mathematics fun for students. You can learn through a series of video lectures that include several illustrations, animations and anecdotes to ensure full understanding and retention.

Furthermore, Discrete Mathematics training by Swayam assumes no prerequisites and is open for anyone interested in learning the programme. You can attain an official certificate awarded by Swayam and NPTEL at the end of the programme by qualifying for the final certification examination and all the assignments.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Roorkee via Swayam

Certificate

Ordinary And Partial Differential Equations And Applications

The Ordinary and Partial Differential Equations and Applications certification course is designed with complete overview of the differential equations and its relative significance. This course is a standard curriculum that is offered to UG/PG engineering or science students. It requires the presence and uniqueness of an ODE solution, homogeneous and non-homogeneous linear differential equation systems, second-order homogeneous differential equation power series solution.

The Ordinary and Partial Differential Equations and Applications training will undertake both aspects of the curriculum in an analytical and practical manner that will help the candidate to be more productive and effective in their respective major. This course has considerable applications in numerous engineering and science areas, such as control theory, numerical analysis, dynamic systems, etc. The main motive will be focused towards the core elements of the major that have a significant role in the functioning of the problem-solving areas.

This course will provide a quick overview of the whole curriculum in the beginning and then later it will be directed to the new modules, framework, theorems, challenges and limitations that are associated with this particular programme along with that, the candidate will be provided Ordinary and Partial Differential Equations and Applications certification that will help them to pursue further courses in same field.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Roorkee via Swayam

Certificate

Numerical Linear Algebra

The Numerical Linear Algebra online course has been structured as a basic and fundamental course for the students who are pursuing their postgraduate or undergraduate level degree course from the stream of science or engineering.

The Numerical Linear Algebra certification benefits the registered students by providing them the core concepts regarding- stability of numerical algorithms, matrix algebra, stability of nonlinear systems, conditioning and condition number, vector and matrix norms, convergent matrices, computer arithmetic, sensitivity analysis, singular value decomposition (SVD), least square solutions, algebraic and geometric properties of SVD, Power method and applications, Householder matrices and applications, QR method, Jacobi method for finding the eigenvalues of a given matrix.

The Numerical Linear Algebra certification course will be dealing with all the real world applications of the numerical linear algebra concept in the diverse fields of- sciences and engineering. The twelve weeks course will be emphasised on topics like- control theory, numerical analysis, image processing, and dynamical systems.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Knowledge of MATLAB

Offered by

IIT Roorkee via Swayam

Certificate

Advanced Engineering Mathematics

The ‘Advanced Engineering Mathematics’ online course is a study about the analytical functions and applications of the various concepts and ideas that form the core of engineering mathematics. The National Program for Technology Enhanced Learning program (NPTEL) free online course is offered on the Swayam education platform for the undergraduate and postgraduate students of engineering and science.

The course curriculum is designed and provided by the Indian Institute of Technology Roorkee for twelve weeks. This certification course is a core course for undergraduate-level students. The course educator for this program is Dr. P. N. Agarwal from the department of mathematics at IIT Roorkee. The students of the ‘Advanced Engineering Mathematics online training program can earn three credit points. The candidates will also receive a course certificate that is e-verifiable with the authenticated logos of NPTEL and IIT Roorkee. The twelve weeks of training on the theoretical principles of the mathematical aspects of engineering and sciences enables the students to develop expertise in this domain.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Knowledge of engineering

Offered by

IIT Guwahati (IITG) via Swayam

Certificate

Introduction to Queueing Theory

12 Weeks

₹ Free

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Offered by

IIT Kanpur via Swayam

Certificate

Advanced Partial Differential Equations

The intention behind learning the Advanced Partial Differential Equations program is to understand the physical phenomenon occurring in nature. In this course, candidates will explore the basic ideas, inner workings, and characteristics of first-order equations. They will then progress to three fundamental second-order equations.

As mentioned before, the Advanced Partial Differential Equations certification syllabus will begin with the study of first-order equations such as the Burgers equation, entropy solutions, Reinmann problem, etc. After that, the course will explore the Laplace equation, Wave equation, and Heat equation in detail.

This course is an AICTE approved faculty development program. Individuals participating in the Advanced Partial Differential Equations Certification will go through a twelve-week process where they will learn through online lectures and weekly assignments under the guidance of Professor Kaushik Bal from IIT Kanpur. Participants of the course will be eligible to achieve a certificate by scoring well in assignments as well as a final offline exam.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kanpur via Swayam

Certificate

Applied Linear Algebra for Signal Processing, Data Analytics and Machine Learning

The Applied Linear Algebra for Signal Processing, Data Analytics and Machine Learning certification is offered by Swayam. The course will provide you with fundamental knowledge about the core concepts of Linear algebra. Linear algebra plays a significant role in a wide range of fields and has multiple applications, including data analysis, wireless communication, machine learning, finance and control, and signal processing.

The Applied Linear Algebra online programme is approved by AICTE and has been designed as an attempt to teach the cutting edge and diverse applications of linear algebra. If you are from the IT and engineering field, you will be interested in learning about the advanced concepts as they are extremely significant in multiple industries today. Thus, you can increase your knowledge and hiring prospects by enrolling on the course offered by Swayam in association with IIT Kanpur.

Besides, the Applied Linear Algebra certification will run for 12 weeks for free, and you can earn an e-certificate by taking a proctored exam. The training is a part of IIT Kanpur’s Faculty Development Programme (FDP). Apart from UG and PG students, practising scientists, engineers, and managers from various fields can purse the FDP.

12 Weeks

₹ Free

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Skills Covered:

Machine learning Data science knowledge Knowledge of Big Data

Offered by

IIT Kanpur via Swayam

Certificate

Fuzzy Sets, Logic And Systems & Applications

The Fuzzy Sets, Logic and Systems & Applications by Swayam is designed in a definite structure to meet the knowledge requirements of students, researchers, and practicing engineers. The course deals with the fuzzy systems theory. The multiple values in fuzzy logic that the system deals with, are described in the course. This course also provides case studies of certain fuzzy logic usage from real-life.

This course is available on the Swayam online learning platform. Swayam provides free access to its courses. This course can be accessed on the Swayam website or from the downloaded Swayam app. This course is verified by one of the prestigious technology institutions of India, IIT Kanpur. It is supported and initiated by NPTEL and MHRD respectively.

The Fuzzy Sets, Logic and Systems & Applications certification is valuable as it is government-initiated and nationally coordinated. The certification will help all those candidates aspiring for better future opportunities. The certification will have the logos of IIT Kanpur and NPTEL. It will also have the photograph of the candidates and the final score of the candidates.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam

Certificate

Numerical Methods for Engineers

The Numerical Methods for Engineers course by Swayam is designed to give an overview of various numerical methods that are of great interest to scientists and engineers. This course focuses on the numerical techniques, its analysis and its properties. The theory behind numerical methods and applications of them are also discussed. Numerical methods are mainly used by computers to solve iterative and step-wise problems which are tedious to solve by hands.

This course covers concepts like curve fitting, interpolation, regression, linear systems and mathematical concepts like algebra, integration and differentiation. Various computational tools like FLUENT, Aspen, FORTRAN and MATLAB are used for teaching. Algebraic equations are solved using open and bracketing methods like Regula-Falsi, Bisection, Secant, Multivariate Newton’s method, Newton Raphson and Fixed point iteration.

The 12-week programme comprises weekly assignments and 2.5 hours of video tutorial every week. A discussion forum for clearing the doubts of the participants is also available. This course would greatly benefit the candidate to improve their problem solving ability.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam

Certificate

Applied Linear Algebra

The Applied Linear Algebra online course introduces the fundamentals of eigenspaces, inner products, vector spaces, and linear transformations to electrical engineering aspirants. This program encompasses all the core learnings to help candidates master these concepts and progress to the further applied for linear Algebra courses. The training falls under these categories - ‘Instrumentation and Control’, ‘Signal Processing and Communication’ and ‘Communications Engineering, Electrical, and Electronics’.

Spread across 12 weeks, the Applied Linear Algebra certification syllabus comprises vector spaces, eigenvalues’ applications, and positive operators. Candidates learn about solving linear equations, inner product spaces, normal operators, quotient space, and other critical learning areas. Set in the postgraduate/undergraduate level, this curriculum is a core program, currently ongoing on Swayam.

The Applied Linear Algebra training also offers course certificates to eligible candidates, who register and clear Swayam’s program-end proctored test. Upon doing so, students will earn a digitally-verified certification with their credentials and institution logos, bearing testimony of their acquired knowledge in the concepts taught. The course also houses industry support from Artificial Intelligence, Communications, and Analytics.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam

Certificate

Basic Calculus – 1

This Basic Calculus – 1 online course is offered by the Swayam online learning platform. It is coordinated by NPTEL. This course aims to guide basic calculus to all types of candidates irrespective of their social standing. In the course, there will be 36 lectures divided into 12 weeks duration. The course will follow the referenced book chapters 1 to 5. The candidates will revise certain notions they learned in school and also will get introduced to new notions.

This course is primarily intended for those candidates who are at the undergraduate level pursuing Bsc. The calculus taught in this course will be an updated version of the calculus taught in schools. This course is accredited by NPTEL. The lectures of this course will be around 40-45 minutes. The instructor will solve about 100 problem exercises and show usage of graphs.

The Basic Calculus – 1 certification will have the logos of NPTEL and the Indian Institute of Technology Madras. The certification will benefit the candidates academically and professionally. The certification will be provided in the e-format. This makes it easily shareable on all platforms such as Linkedin.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam

Certificate

Introduction to Commutative Algebra

The Introduction to Commutative Algebra program by Swayam is a twelve-week online course, designed for individuals who want to research areas such as algebraic geometry, commutative algebra, algebraic number theory, etc. It is an AICTE approved FDP curriculum, intended for postgraduate-level students.

Curated by IIT Madras, the Introduction to Commutative Algebra certification syllabus covers crucial topics such as ring homomorphism, prime and maximal ideals, Jacobson radical, module homomorphisms, submodules, and tensor product of modules. The exact properties of the tensor product and Noetherian rings are also a part of this comprehensive course. The Institute’s Professor A. V. Jayanthan will teach this course.

Moreover, the Introduction to Commutative Algebra training requires learners to have the necessary knowledge of linear algebra, basic ring theory, and group theory. Students will receive assignments and study through Swayam’s video lectures during the course. In the end, learners need to pass the final exam and meet all the certifying criteria to obtain their course certificates.

12 Weeks

Beginner

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam

Certificate

Probability Foundations for Electrical Engineers

Intended for an electrical engineering audience, the Probability Foundations for Electrical Engineers certification by Swayam touches upon the fundamental aspects of the probability theory. Probability theory and its models play a significant part in various aspects of design and implementation, communications, networking applications, and signal processing.

Besides, the Probability Foundations for Electrical Engineers certification syllabus covers vital concepts of probability like conditional probability, continuous random variables, discrete random variables, variance, correlation, and the like. This AICTE approved course will require candidates to have basic calculus knowledge to better grasp the course.

The Probability Foundations for Electrical Engineers online course is taught by two eminent professors from IIT Madras known as Prof. Andrew Thangaraj and Prof. Aravind R, who hails from the electrical engineering department. Although the course isn’t directly relevant to industries, it is a foundational path towards various other courses like Wireless/Digital communication, adaptive signal processing, and the like.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam

Certificate

Combinatorics

The ‘Combinatorics’ online certification course is created for the students to engage and discuss the various aspects of counting and the study of patterns in this course. The students of this course will engage in enhancing their knowledge of mathematics and algebra. The free online learning course is provided by Swayam in collaboration with the National Program for Technology Enhanced Learning(NPTEL). The classes for this program are conducted online aided by lectures, videos, books, and reference materials for about twelve weeks.

The instructor for this program is Prof. Narayanan N from the department of physics at the Indian Institute of Technology Madras. The students of this undergraduate level mathematics and algebra course will gain insights into the concepts of combinatorics.

The ‘Combinatorics’ online training program equips students with the E-Certificate and credits points after successfully completing this core course approved by the All India Council for Technical Education. The students are evaluated based on their weekly assignments and final examination for the certification.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Knowledge of Algorithms

Offered by

IIT Bombay via Swayam

Certificate

Basic Real Analysis

The Basic Real Analysis certification course has been designed with the aim to cover several basic concepts such as real line, differentiation as well as integration. The course prepares candidates for future courses. The theorems have been well explained so that the basics are clear for the aspirants. Theories and logics have been covered in every module of the basic real analysis course.

The course will also be enhancing the skills of the individuals registering for the course. Discussion forums boosts up the confidence level, by offering rigorous learning during the learning phase of course. Assignments, reading sessions, video lectures and quizzes have been designed which ensures that the participants are having smooth learning.

Aspirants registering for the Basic Real Analysis online course will be able to solve the problems easily after the learning they acquire. Different terminologies such as limit superior and limit inferior have been included in the course.

12 Weeks

19 January 2025 - 10 April 2025

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Bombay via Swayam

Certificate

Introduction to Algebraic Topology Part-I

The Introduction To Algebraic Topology (Part-I) Certification course is a master's level program and requires fundamental knowledge in the field of point-set topology and group theory. The course also touches upon the modern aspects of mathematics. The course will be offered to the candidates by IIT, Bombay and the syllabus of the Introduction To Algebraic Topology (Part-I) program is similar to the program of the National Centre for Mathematics. The course deals with different topics throughout the syllabus like path homotopy, convex geometry, covering spaces, and many more topics which gives a variety of knowledge to the students.

The Introduction To Algebraic Topology (Part-I) certification syllabus of the course can be completed according to the pace of the candidate although the set timing for the completion of the training is 3 months. Candidates need not buy any external study material or notes as the course includes the full package of study material, assignments, tests, fonts clearing discussion platform, etc. The other benefits of the Introduction To Algebraic Topology (Part-I) by Swayam include a certification which will be provided to the students only if they acquire the passing grades in the exam and register for the same by paying the exam fees.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Bombay via Swayam

Certificate

Optimization From Fundamentals

The Optimization from Fundamentals certification course is a structural framework set for improving the learning of the field in a more effective way. From its fundamentals, this course will cover the subject of Optimization. A summary of actual analysis and convexity will begin with it. Linear programming, convex optimization and nonlinear programming, complementarity concerns and algorithms for the same will cover this basis.

With dynamic optimization, the Optimization from Fundamentals training will stop. The course will give a complete framework of what's the level of optimization in different sectors and now where it stands and what are the problems and challenges, it suffers.

The Optimization From Fundamentals certification will give an assurance that the candidate is more effective in the respective field, which will help him to undertake the same major in their respective upcoming future. The course is more tilted towards the understanding of the core elements that play the main role in the functioning of optimization principle. The students who will get enrolled in the programme will study various elements that are so vital for the functioning of the fundamentals and Optimization from Fundamentals certification syllabus will mainly consulate with that only.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Programming skills

Offered by

IIT Bombay via Swayam

Certificate

An introduction to Point-Set-Topology Part-I

An introduction to Point-Set-Topology Part-I certification by IIT Bombay via Swayam explores the definition of metric spaces and topological spaces. This is a 12-week online course that deals with topological aspects of metric spaces. An introduction to Point-Set-Topology Part-I certification course will expose students to three crucial theorems on complete metric spaces while providing them with the structure of completion of metric spaces. Through An introduction to Point-Set-Topology Part-I online course, students will get familiar with topological spaces, building new topologies from the old, Bases and subbases, I and II countability, connected and path connectedness, separability, and others.

An introduction to Point-Set-Topology Part-I certification syllabus discusses the meaningful study of analysis and further topology. In the end, the course gives outstanding results such as Urysohn’s lemma and Titze’s extension theorem and some applications. An introduction to Point-Set-Topology Part-I classes are backed up by a strong team of tutors solving all the queries. The classes also include several online interactive sessions.

12 Weeks

19 January 2025 - 10 April 2025

₹ Free

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Skills Covered:

Knowledge of engineering

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