List of Online Courses and Certifications

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 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.

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.

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 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.

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.

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.

An introduction to Smooth Manifolds course by SWAYAM is spread over 12-weeks and falls under Mathematics. This elective course introduces learners to the fundamental concepts of the smooth manifold theory. It is a Faculty Development Programme (FDP) approved by the AICTE.

In addition to online video lectures, this course also includes books and references. Moreover, An Introduction to Smooth Manifold's certification syllabus is curated by the Indian Institute of Science, Bangalore. The curriculum comprehensively touches upon Stokes theory, orientation, submanifolds, topology, Frobenius theory, and much more. It splits into 12 learning modules, scheduled for every week.

Professor. Harish Seshadri from IISc Bangalore instructs the An Introduction to Smooth Manifold's online course. Students can choose to verify the skills acquired in this course with a certificate. For that, they need to pay the necessary certification fee. Ph.D. and Masters's students in Information theory, Robotics, Mathematics, Physics, Control theory, or Climate Sciences can enrol in this certification course. 

The Introduction To Algebraic Geometry And Commutative Algebra certification is an online program that does not require any fees to be paid by the students to be a part of the program. Candidates who pursue this course will get an understanding of topics related to algebraic geometry such as rings and ideals, theorems, topology, etc. The Introduction To Algebraic Geometry And Commutative Algebra training can be joined by graduates as well as postgraduate students since this is not only a beginner level of the program but includes topics from advanced level too. The course is being offered to the students by the Indian Institute of Science through the platform of Swayam that provides a thorough online and self-paced program to all the participants.

The certificate for the course can also be obtained by a participant when the candidate has completely covered the whole Introduction To Algebraic Geometry And Commutative Algebra certification syllabus along with assignments or assessment included in the course. The certification for the program comes at a cost along with an offline exam which needs to be given according to the terms and conditions of the provider of the course. The course needs only a time period of up to 3 months to cover it entirely but in case the candidate wants to go for a longer period of time, he can do so without having to pay any extra amount due to the course being a self-paced Introduction To Algebraic Geometry And Commutative Algebra program.

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 Biostatistics and Mathematical Biology course is designed to help candidates learn the fundamentals of mathematics that are required for biologists. It will help them learn the principles that govern the behaviour and systems in living beings. Further, the curriculum covers modern topics of biostatistics such as box-plots, Bayesian probability, statistical power, maximum likelihood, and the like.

Furthermore, the Swayam Biostatistics and Mathematical Biology programme cover essential topics of mathematical biology, which get covered rarely by universities. It includes permutation and combination, odds ratio, and relative risk, among others. Also, the award-winning tutor and science writer, Dr Felix Bast, teach this course.

Moreover, the Biostatistics and Mathematical Biology online course by Swayam is application-oriented. The programme is made interactive by the games and fun facts that are included in it. During the course, the emphasis is given to analysing data and strategic decision making about the right test to use during the right situation, which has become essential in solving the problems.  

The ‘Computational Commutative Algebra’ certification course is an elective course for the students to develop their understanding of the computation of the rings, ideals, and modules with the help of a computer. This course enables students to get an overview of commutative algebra with a focus on the computations and the techniques behind them. This free online training course is provided by the Swayam education portal along with the National Program for Technology Enhanced Learning (NPTEL). The classes for this course are conducted online for a period of twelve weeks.

The students of this program are led by the instructor, Prof. Manoj Kummini from the Chennai Mathematical Institute (CMI). In this course, candidates will get a theoretical and hands-on experience with the computational tool Macaulay2. This program can be downloaded and installed locally or can also be worked with the online version for smaller computations.

The ‘Computational Commutative Algebra’ online training program ensures an E-Certificate and credit points after completing the course and the assessments successfully.

The Real Analysis I programme by Swayam is a 12-week programme, available at the undergraduate level. The course instructor is Prof. Jaikrishnan J, who is an assistant professor at IIT Palakkad with expertise in Complex analysis. 

The online Real Analysis I course aims to the students who want a deeper understanding of the subject calculus or for students who wish to pursue more complex subjects like Statistics, Computational Complexity, Theoretical Physics, among others. 

Moreover, various top companies such as DeepMind, Microsoft Research, and Google, support the Real Analysis I certification programme. With a comprehensive curriculum, candidates will become familiar with the set theory and logic behind the real analysis, along with necessary computational functions. 

While the online course is available to candidates free of cost, they must have studied mathematics up to class XII to enrol in Real Analysis I course. Moreover, if candidates want a certificate upon course completion, they need to pay for a certification exam and clear it. 

The completion of a Discrete Mathematics Certification will lay the groundwork for enrolling in higher-level maths courses like real analysis, abstract algebra, maths modelling, geometry, and topology. 

Discrete Mathematics Classes shall discuss the symbolic logic techniques which are required for the algebraic understanding of circuits and computer logic and layer introduce you to Boolean algebras with the help of certain examples based on objects.

Discrete Mathematics Certification Syllabus will discuss how to express the overall functioning of a circuit mathematically in terms of certain suitably defined functions called Boolean functions and also consider a simple circuit design problem to illustrate the applications of the relationship between Boolean functions and circuits. 

All students get a Discrete Mathematics Certification by MPSTME, NMIMS Deemed University, Vile Parle West, Mumbai under the Swayam Initiative by the Government of India. 

Mathematics is a subject that plays a significant role in human life and existence and can solve many complex real-life problems. Mathematical concepts have the power to explain the mysteries and complexities of the universe. The Mathematical Analysis online course is an attempt to provide a thorough understanding of some complex mathematical concepts to science stream students.

The Mathematical Analysis programme consists of 40 modules, tests and assignments and is a 10-week- long core course. This is a comprehensive course provided by Swayam in association with MES College of Engineering Kuttippuram of Kerala. Over the course of 10 weeks, you will learn some basic and some complex mathematical concepts which will prove most useful for students pursuing B.Sc in Maths degree from any university.

The ‘Algebra - I’ online certification program is a core course for the students of mathematics that is focused on delivering the students insights on the foundational concepts of algebra. This free online course is provided by Swayam educational platform in collaboration with the National Programme on Technology Enhanced Learning (NPTEL). The course classes are held online in a virtual environment through videos, lectures, online resources, and assessments. The students of this course will take about twelve weeks to complete the course.

The instructors for this online training program are mathematics faculties from The Institute of Mathematical Sciences in Chennai, Prof. S Viswanath, and Prof. Amritanshu Prasad. The candidates of this mathematics course will gain a comprehensive understanding of the theoretical and practical aspects of algebra in this course.

By the end of this postgraduate level course, the students of the ‘Algebra - I’ training program will be given E-Certificate with the credit points. 

An invitation to Topology certification by IMSC via Swayam is a 12-week online course. Through this online certification course, students will be exposed to the investigation and formalization of the abstract notion of a “space” under a minimum set-theoretic structure, known as a topology. An invitation to Topology certification syllabus provides foundational theory in topology which plays a crucial role in modern mathematics, and by extension, other mathematical sciences. This is a free course and anyone interested in learning topology can enrol in this online course offered by the Institute of Mathematical Sciences, Chennai (IMSC) via Swayam. 

Spread across 12 weeks, An invitation to Topology online course equips learners with the concepts of Topological spaces, Subspace Topology, Box and Product topology, and Metric topology. The course also provides a certificate on the completion of the exam which is conducted at the designated exam centres.

The Algebraic Combinatorics certification by the Institute of Mathematical Sciences (IMSc), Chennai is designed to introduce students to some influential paradigms in modern combinatorics. They are combinatorial classes and combinatorial species, Möbius inversion on partially ordered sets, and the Lindström-Gessel-Viennot lemma. The Algebraic Combinatorics training course is a 12-week online course delivered via Swayam. The Algebraic Combinatorics certification syllabus also provides learners with the theory of symmetric functions.

Students from science and engineering backgrounds having studied mathematics and computer science are best suited for the Algebraic Combinatorics certification course. The course will be taught by two instructors covering powerful paradigms in modern combinatorics. There are three credit points in the Algebraic Combinatorics online course that will be awarded to students after completion of the course. Students will also receive a certificate upon successful completion of the final exam. 

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 ‘Complex Analysis’ online certification course enables students to learn about the foundational level mathematics focussing on complex numbers and the complex analysis functions. This online course attempts to discuss the implications of complex numbers that offer the spectral theorem for matrices. This free National Program for Technology Enhanced Learning (NPTEL) course is provided by the Swayam education portal. It is a core course for undergraduate and postgraduate level students and is scheduled for twelve weeks. The classes are held online through videos, lectures, weekly assignments, and other online resources.

The instructor for this online training is Dr. Pranav Haridas, assistant professor at the Kerala school of mathematics. The students of this course are given an opportunity to explore the theoretical and practical implications of complex numbers in the mathematics domain.

The ‘Complex Analysis’ certification course ensures a course certificate and credit points after successfully completing this AICTE recognized course and the certification exam.

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.

Information sources and their types, which are categorised based on their type, information contents, and physical form, are covered in the BLIE-226 Management of Library and Information Centre Certification.

BLIE-226 Management of Library and Information Centre Classes  covers types of periodicals, bibliographies, reference materials and sources like dictionaries, encyclopaedias, handbooks, yearbooks, almanacs, directories, geographical sources, biographical sources. 

Total Quality Management and Change Management are also taught in the BLIE-226 Management of Library and Information Centre Certification Syllabus along with a description of how they are implemented in libraries and information centres.

Under the Swayam Initiative by the Government of India, all students get an BLIE-226 Management of Library and Information Centre Certification by Indira Gandhi National Open University (IGNOU).

The Dewey Decimal Classification (DDC), 19th edition, is covered in detail in the BLIE-227 Document Processing Practice Certification, including its fundamental structure, notational properties, and organisation of the three volumes, namely 1. Tables, 2. Schedules, and 3. Relative Index.

The most crucial topic covered in BLIE-227 Document Processing Practice Classes is how books and other reading materials are organised by subject in modern libraries for both finding them and browsing. You can create your own method for organising books, but it will take a lot of time and effort. The alternative is to use a system that already exists which is discussed in BLIE-227 Document Processing Practice Certification Syllabus. 

All students get a BLIE-227 Document Processing Practice Certification by Indira Gandhi National Open University (IGNOU) under the Swayam Initiative by the Government of India. 

The primary goal of this course is to educate students on the information consolidation and repackaging process in preparation for the BLIE-228 Information Products and Services Certification.

BLIE-228 Information Products and Services Classes covering web products and services are also discussed which elaborates on collaborative content development.

The BLIE-228 Information Products and Services Certification Syllabus like literature search service, abstracting services, referral service, CAS, translation service and document delivery service are discussed in detail.

All students get a BLIE-228 Information Products and Services Certification by Indira Gandhi National Open University (IGNOU) 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 Basic Course in Ornithology Certification is a 12-week online program. 

The Basic Course in Ornithology Certification is a 12-week online program. The course syllabus is prepared and verified by IISER Mohali, SACON, IISER Bhopal, IISER Tirupati, and IISc Bangalore even if Swayam is appointed to provide the course. This course certificate is presented by the IISER Mohali, SACON, IISER Bhopal, IISER Tirupati, IISc Bangalore, and NPTEL.

Basic Course in Ornithology training is a multidisciplinary elective course. Dr. Mousumi Ghosh, Dr. Manjari Jain, Dr. R. Jayapal, Dr. Anand Krishnan, Dr. Suhel Quader, Dr. V.V. Robin, and Dr. Umesh Srinivasan are the professors for this certification course.

The goal of the course is to expose students to the field of bird science (ornithology). It covers the fundamentals of a variety of subjects, including taxonomy, behavior, anatomy, and the conservation of birds.

This Basics Of Language Science Online Course manages major parts of the language. In the course the candidate will develop an understanding connection between language, brain, and the general society that we reside in. The students will feel like they realize how to respond to a ton of inquiries regarding different complexities or various kinds of miracles about language.

This course assists the candidate with managing the three significant parts of language specifically, the construction at the degree of sounds, words, and sentences, securing or learning of it, and the varieties inside and among dialects. The Basics Of Language Science Programme offers answers to a large portion of the interests that strike major when we consider how we gained the limit of language as a child.

This course will guide the candidate in depth of language science. In the Basics Of Language Science Training candidate can also take up the course certificate by giving the exam which will be held after the course completion. The course timing is flexible and candidates can study according to their time preference and the course faculty will be professor Rajesh Kumar from IIT Madras for making understanding easy to candidates.