Swayam Free Courses & Certifications

The online course on Integral and Vector Calculus by Swayam will be offering a detailed introduction to the topic of - integral and vector calculus.  The program will deal in a descriptive way with the concepts of- Riemann sum, partition, and Riemann Integrable functions and their applications as well as their properties. The online course will also discuss the fundamentals of- anti-derivatives. 

The online certification course will teach the students over the course of twelve weeks about the classical theorems of integral calculus that also includes the - fundamental theorem of integral calculus. The Integral and Vector Calculus online course curriculum includes the concepts of-  differentiability, gradient, divergence, directional derivative, and their geometrical interpretation and curl of vector functions in real-world functions. 

The important and fundamental topics of - theorems of vector calculus: Gauss’s, Green’s, and Stoke’s theorem will also be discussed in the course. To help the applicants understand in a more comprehensive manner the course has been structured as - core.

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.

The Online certification course on the Measure Theory by Swayam will be covering the key concepts and principles that are involved in integration and measure. The course will begin the training by introducing the candidates to the applications of- integration theory and the abstract measures along with their applications. In the next half of the online course, the trainers will be dealing with the theories that pertain to- the Lebesgue measure and its real-world applications.

The course will also provide the students with a detailed study of Borel measures on locally compact Hausdorff spaces. The Measure Theory certification syllabus will also comprehensively elaborate on the principles of- Lp spaces and product measures along with Fubini’s theorem. In the period of twelve weeks, the applicants will also be provided with the assignments on several classical results such as- the Ries representation theorem, the  Radon-Nikodym theorem, and the Lebesgue differentiation theorem.

Linear algebra is a continuous form of maths as it allows us to model natural phenomena and understand the theory behind machine learning and deep learning. It is an integral subject in mathematics applied in engineering, science, and other mathematical areas like geometry and functional analysis. Linear Algebra by Swayam is an online program that emphasizes the crucial concepts of linear algebra and gives a thorough introduction to this foundational subject.

The Linear Algebra online course has been designed by the Kerala School of Mathematics expert faculty. The training falls under the domains of foundations of mathematics and algebra. It is spread over 12 weeks and is free to enroll for all learners. 

Furthermore, Linear Algebra training by Swayam will offer a certificate to students who finish the whole course, including assignments, and qualify for the exam. Students will learn through various examples and use their problem-solving skills to deal with many mathematical problems. No charges are applicable for enrollment.

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. 

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.

Probabilistic Methods in PDE by Swayam is designed by IISER Pune and verified by NPTEL. Professor Anindya Goswami instructs this ongoing elective program that spans 12 weeks. The course falls under the purview of Mathematics and is based on two books, namely: Semigroup Theory and Stochastic Calculus. Candidates seeking certificates can also acquire them by paying and registering for the proctored evaluation. 

The Probabilistic Methods in PDE certification syllabus introduces you to a potent research tool related to the differential equations theory. The curriculum aims to offer expertise on probability theory and PDE, considering the absence of extensive learning material on this topic. Young researchers who have to undergo time-consuming research with scattered references have easy access to the course’s compiled information, offering in-depth insights.

The Probabilistic Methods in PDE program is an advanced curriculum but is also ideal for mathematical finance, probability theory, PDE, or mathematical physics aspirants. The instructor will explain several complex theorems from the books mentioned above during the course lectures to facilitate a comprehensive approach towards the subject.

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. 

The online Variational Calculus and its applications in Control Theory and Nanomechanics training course has been designed as an introductory session to the main theory and applications that are related to variational calculus to problems with respect to- physics, geometry, and differential equations along with mechanics. This course on Variational Calculus and its applications in Control Theory and Nanomechanics by Swayam provides the students with adequate knowledge on the topics of- ordinary differential equations, vector calculus, and basic mechanics. In the course tenure, the applicants will be learning about the new applications that are being applied in- physics, biology, mathematics, chemistry, and engineering. 

The Variational Calculus and its applications in Control Theory and Nanomechanics certification benefit the students as this will serve as a reference for advanced study and research in the same domain. After completing the course the students will have their skills increased in the field of functionals that contains several dependent variables.

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 12-week course will contain weekly assignments for evaluation through which the students will be able to track their progress.

The Transform Calculus and its applications in Differential Equations online course will help candidates learn about the basic techniques involved in the integral. The simpler ways of dealing out with the equations and coming up with the solution in a quick span of time will be taught to the candidates.

The candidates will be exposed to high-level concepts as well so that there is no difficulty in the process of learning. The course will train the students with the basic Integral Transform techniques. The candidates will be learning everything this topic covers within this time. The high-level concepts will also be touched by the experts.

The Transform Calculus and its applications in Differential Equations training come with certification, so the learning is a fun process. The candidates will have all the learning materials with them prior to the starting of the course and can carry on with their learning anytime they wish to.

The Fourier Analysis and Its Applications online course has been selected as the basic theoretical applications and aspects of the topics that are directly or indirectly related to the topic of Fourier. 

The Fourier Analysis and Its Applications certification syllabus will be conducted for a total of 12 weeks and will be covering the topics namely- The space S of rapidly decreasing functions, Application to PDEs, Fourier transform as an operator from S to S, and the Plancherel's theorem, Cesaro summability - Fejer's theorem and its applications, Basic convergence theorem of Fourier series and its applications and Sturm-Liouville problems and its applications. 

With the help of lecture videos, assignments, tests, and case study guides, the students will be taught the basics of the concept of  Fourier. The diverse applications of the subject of mathematics will also be covered in a descriptive way in the online course on Fourier Analysis and Its Applications by Swayam.

The Linear Algebra online program is a Swayam course provided by the Ministry of Education(Government of India) and is designed by the National Programme on Technology Enhanced Learning(NPTEL) and the Indian Institute of Science in Bangalore. This course is part of the mathematics domain and will take twelve weeks for the students to complete the training.

The course instruction is done by Prof. Dilip. P. Patil, a faculty member of the department of mathematics in IISC. The course materials that include books, references, and assignments will be a source of extensive learning of the subject. 

The Linear Algebra training provides expertise that enables students to equip themselves with valuable mathematical insights that improve their job skills. The students of this course will develop their knowledge of the geometric concepts involved in mathematical applications and other algebraic principles. This core course will fetch the candidates three credit points and a certificate from Swayam that is recognized by NPTEL and IISC Bangalore.

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.

The Information Sources and Services Course introduces learners to different types of information sources and the ways of categorising them. The course will help students understand vital concepts like user education, information literacy, and user studies from a detailed perspective.

The Information Sources and Services Course is a 4 credit course coordinated by Dr. Archana Shukla of the Faculty of Library and Information Science, Indira Gandhi National Open University. The course explores different kinds of information sources including dictionaries, encyclopedias, directories, and yearbooks, and provides a detailed glimpse of the process.

The Information Sources and Services online course offered by Swayam will allow learners to understand the diverse demands for information from various parts of life. The course will help learners the need to categorize information and the ways to search information according to the specific requirements of users. 

The Communication Skills Course is a massive open online course that discusses the need for excellent skills in communication like speaking and writing skills to be successful professionals in the field of Library Science. The course helps learners to polish their interpersonal skills and manage relationships at best.

The Communication Skills Training Course is a 4 credit course taught at the postgraduate level. The comprehensive course is coordinated by Dr. Zuchamo Yanthan from the faculty of Library and Information Sciences, Indira Gandhi National Open University, New Delhi. The course is taught over 12 weeks with the help of video lectures by experts.

The Communication Skills Course offered on the Swayam portal helps learners to understand the essence of effective speaking skills, reading skills and presentation skills in order to work effectively with people. The course will help learners to develop good writing skills, create personal profiles and excel at job interviews.

The program by Swayam has been designed for the executives as well as students who want to learn more about the sector of finance and its allied domains. The Finance for Non- Finance certification syllabus has been modeled to provide the applicants with a comprehensive understanding and knowledge about the basic accounting concepts along with the financial statements to meet the standards of the industry. 

The twelve-week program is a course that is being offered under the “cafeteria” approach for the students who belong to the CBCS board. The program will also be helping the students who have no prior knowledge in the subject of financing develop a financial sense and understanding. The course has been structured as an elective for the students and will be emphasized more in the subject of “management studies”. The curriculum includes- merger, cost concepts, emerging financial services, working capital, budgeting and more concepts that are related to financing.

Making financial decisions in a business requires detailed analysis and investigation. Maximising the value of investment requires a rigorous evaluation process. The Financial Management for Managers programme will teach candidates the various tools and techniques of financial management to help them with these analyses and evaluation of an investment.

Financial Management for Managers certification course is proved by AICTE as an FDP course. It is an elective course in management studies for undergraduates and postgraduates. This online course will be lucrative for individuals either working or studying financial management. The course work and syllabus has been designed by IIT Roorkee and will be taught by Professor Anil K. Sharma.

Financial Management for Managers offers certification to candidates along with a list of books and references to study from. There are no prerequisites to join this course. It employs a final exam, regular assignments, and video lectures to help gain participants a deeper understanding of financial management.

By attending the Financial Statement Analysis and Reporting certification programme the enrolled students will have their base cleared in the subject of “financial statement analysis” and they will become professionally efficient in guiding and training the corporate houses and business centers to manage their financial reports and also economically use their financial resources.

In the online certification course on Financial Statement Analysis and Reporting by Swayam the candidates over a period of twelve weeks will be guided across a domain of topics like-private companies, sole proprietorship, Indian economy, financial statements and others. The course will help the students to formulate plans and strategies so that they can guide their firms to overcome any financial crisis.

After completing the programme the students can apply for a diverse industry or companies. The online certification course is having the category of management studies and is structured as elective for all the registering candidates.

The ‘Applied Linguistics’ online certification program is a massive open online course for students in their undergraduate and postgraduate level to understand the theoretical tools and practical aspects involved in the comprehension of language and its applications in various domains. This course discusses the process of language acquisition to analyze and implement the same with real-world situations. This free online course is provided by the Swayam education portal in association with the National Program for Technology Enhanced Learning(NPTEL).

The classes of this course are conducted online for a period of twelve weeks through videos, lectures, books, references, and other online resources. The instructor for this program is Prof. Rajesh Kumar from the department of humanities and social sciences at the Indian Institute of Technology Madras. 

The ‘Applied Linguistics’ certification course enables students to receive a course certificate and credit points after successfully completing this course which is an elective program approved by the All India Council for Technical Education(AICTE).

The ‘Appreciating Linguistics: A typological approach’ online course is developed for the students to study the language forms and functions, the process of language acquisition, and the description of natural language. This course will focus on the different languages and their linguistic attributes along with the grammatical implications. This free online certification course is provided by the Swayam online portal in association with the National Program for Technology Enhanced Learning (NPTEL).

The course instructor for this online program is Prof. Anindita Sahoo teaching linguistics at the Indian Institute of Technology Madras. The elective program for the undergraduate level students is categorized under the humanities and social sciences domain and enables the students to gain a comprehensive understanding of the concepts through the online classes aided by videos, lectures, and other online resources.

The ‘Appreciating Linguistics: A typological approach’ online certification course offers the students the course certification with credit points after successfully completing the program according to the qualifying standards.

Swayam’s Introduction to World Literature online course introduces its candidates to the vast world of writings, produced in various languages, cultural contexts, and nations. While the program doesn’t claim to cover all time periods and every single one of their literary traditions, it does aim to familiarise learners with the English Language’s representative texts, available today. This short, 12-week training belongs to the English Studies’ and ‘Humanities and Social Sciences’ categories, set at the postgraduate level. 

An elective program, the Introduction to World Literature certification syllabus covers numerous vital learnings. These include classics such as Don Quixote, Beowulf, Indian literature from the likes of Tagore, Kamala Das, short stories, American literature like Toni Morrison, Alice Walker’s Everyday Use, critical theory, women writers, contemporary authors, and more. What’s more, IIT Madras’s renowned educator, Professor Merin Simi Raj, teaches this in-depth curriculum. 

Furthermore, the Introduction to World Literature program also furnishes course-end certificates to interested learners who sit for Swayam’s proctored exams. Upon clearing all the certification criteria and clearing the assessment, students can earn themselves an e-verifiable certificate to display their acquired knowledge in this subject.

Literary criticism is the analysis, study and interpretation of a literary text or school of thought. It is a medium for the critic to explain and defend her judgement and evaluation of a text and provide the readers with some relevant biographical and historical information. This enriches the reader’s understanding of a literary work and helps them appreciate it more. Literary Criticism (From Plato to Leavis) by Swayam is an attempt to provide students with an understanding of the subject by analysing some significant texts.

The Literary Criticism online course is an AICTE approved Faculty Development Programme (FDP). The training is designed by the accomplished faculty of IIT Madras. The course curriculum will take you on a journey through different literary works that have been studied and analysed for decades for their brilliance and relevance.

In addition, the Literary Criticism certification by Swayam includes a digital certificate verified by NPTEL at the end of the course for those who qualify for the certification exam. Candidates can verify their certification online.  The programme belongs to the English literature studies domain.

The Literature, Culture, and Media certification by Swayam is a part of the NPTEL scheme that provides free learning programmes for interested individuals. This course's curriculum aims to introduce participants to the intersections of literature, culture, and media through an interdisciplinary framework. Literature, culture, and media are responsible for generating new ideas and perspectives in the consumers and play a massive role in determining identities.

The Literature, Culture, and Media certification syllabus will touch upon and highlight some of the new forms of media that have reinvented and transformed the literary forms. Theoretical approaches and literary criticisms such as Marxism, Feminism, and Deconstruction will further explain some of the literary phenomenon and cultural aspects of popular culture.

Additionally, the Literature, Culture, and Media certification course by Swayam is suitable for all individuals interested in learning about the subject. No prior knowledge is required for enrollment. Further, the 12-week learning course falls under the Humanities and Social Science category.

Literature and Life Certification are designed and structured in such a way that it helps learners make sense of their own lives through the prism of literature and get a better understanding of the relation of literature to life.

A selection of essays, poems, plays, and short stories from British, American, and Indian literature will be examined in Literature and Life Classes in order to understand and appreciate the complex but fragile human relationships at various levels, including the individual, family, society, business, politics, etc.

All students get a Literature and Life Certification from the Indian Institute of Technology Madras (IIT Madras) under the Swayam Initiative by the Government of India. 

Elements of Literature and Creative Communication Certification is ideal for those who are interested in tasting the nectar of literature. Because literature is directly related to life and keeping that broad vision in mind makes students aware of the finer sensibilities of human existence.

Elements of Literature and Creative Communication Classes intend to teach the students by introducing them to literature, which represents profound and beautiful expressions of mankind, we hope to help them better comprehend and enjoy life. It includes carefully chosen readings of drama, fiction, and poetry. 

All students get an Elements of Literature and Creative Communication Certification from the Indian Institute of Technology Kharagpur (IIT Kharagpur) under the Swayam Initiative by the Government of India. 

The National Education Policy 2020's goal is reflected in the design of the Indian Poetics Certification. The experience that is sparked in the aesthete is the subject of Indian literary works, and various Indian schools of philosophy have examined this experience from various angles.

Sanskrit, Tamil, and modern Indian poetry's individual components, as well as their historical significance, are covered in Indian Poetics Classes consisting of its concept and definition. 

The Indian Poetics Certification Syllabus covers the three arts, poetry, music and architecture which were believed to present the absolute, ultimate truth conceived by the Indian philosophical thoughts.

All students get an Indian Poetics Certification by Dr. Babasaheb Ambedkar Open University (BAOU), Ahmedabad under the Swayam Initiative

The goal of Indian Writing in English-1 Certification, which has assembled a variety of genres including the novel, short stories, and poetry, is to introduce students to a broad range of Indian Writing in English. Reading for pleasure and understanding the human condition go hand in hand while studying literature. 

The several stages of the creation of the Indian English novel will be covered in Indian Writing in English-1 Classes, along with an outline of the novel's evolution. The Indian Writing in English-1 Certification Syllabus will also include a brief overview of the lives and contributions of the key developers.

All students get an Indian Writing in English-1 Certification by The English and Foreign Languages University (TEFLU) under the Swayam Initiative by the Government of India. 

The MATLAB Programming for Numerical Computation certification is an eight-week elective course. This multidisciplinary program falls under the disciplines of chemical engineering and computational biology. IIT Madras has thoroughly curated this curriculum, which their renowned professor, Niket Kaisare will teach.

The MATLAB Programming for Numerical Computation certification syllabus discusses one of the most popular languages used for numerical computation and teaches about its scientific computation usage. Candidates will learn about the practical use of computational techniques through several coding problems and examples. Enrolled candidates will have access to MATLAB online, which is a browser-based version of MATLAB and consists of all its features. 

The MATLAB Programming for Numerical Computation training will offer weekly assignments, course lectures, and practical problems using this MATLAB software. The curriculum focuses on teaching undergraduate students to solve computational problems and familiarising them with the engineering problem’s numerical methods. Besides, candidates can also opt for the final exam and gain the course-end digital certificate.