Free Teaching And Academics Courses & Certifications

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 ‘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.

Learners pursuing the Topology Certification will encounter crucial ideas like continuity, convergence, compactness, separability, and connectedness that are crucial in numerous applications of mathematics.

Students will learn definitions in Topology Classes and build examples and counterexamples based on definitions. Topology Certification Syllabus includes a variety of definitions, theorems, continuity, convergence, and their justifications. All students get a Topology Certification by University of Mumbai under the Swayam Initiative by the Government of India. 

The endless debates on economic development and its impacts on our environment have forced us to study its complexities over the years. Thus, the Introduction to Environmental Economics course by Swayam helps us understand the environmental systems, complexities of economy, and economic activities. 

The Introduction to Environmental Economics certification syllabus covers the key concepts of economics and the environment. The curriculum includes economic growth and developmental linkage, environmental regulations policy consisting of the economics of pollution, governing the commons, ecological values, and non-market valuations, and more. This AICTE course falls in the humanities and social sciences category and is for undergraduate and postgraduate students alike. 

Introduction to Environmental Economics online course is taught by Dr. Diptimayee Nayak and Prof SP Singh from IIT Roorkee, with a wide range of academic experience. The training helps candidates gain a better perspective on taking care of our environment and creating economic policies. Students understand how the safety of environmental and economic development can go hand-in-hand.

The online certification course on Conservation Economics by Swayam will be helping the students to learn about issues such as- climate change, pollution, overpopulation, mass extinction, habitat loss, and others both through the means of lecture classes and online videos.

The students in the Conservation Economics by Swayam online course will be provided both with academic as well as academic knowledge in the said discipline. The applicants will be provided with technological solutions that will help them while mitigating plans and also while formulating policies for tackling the crisis.

The course has been structured as an elective so that students from economics or science backgrounds can learn the maximum from the course curriculum. The importance of conservation and the role it plays in the modern age will be discussed in the session. Also, the registered students will be studying conventional economics and its application so that they can build up their skills and understanding in the subject of “green economics”.

The ‘Applied Econometrics’ online certification course is a study of the application of the various strategies and tools in the field of econometrics and associated domains. This course will help the students discuss experimental economics and the various econometric techniques. This free online course is provided by the Swayam education portal in collaboration with the National Program for Technology Enhanced Learning (NPTEL). This training program is for postgraduate level students and is conducted for a period of twelve weeks.

This is an elective course for the students of economics, management studies, and managerial economics and is led by the instructor, Prof. Tutan Ahmed from the Indian Institute of Technology Kharagpur. The classes are held online aided by videos and lectures with weekly assignments, and the final exam for evaluation.

The ‘Applied Econometrics’ training program enables students to receive a certification by Swayam and credit points after completing the course according to the eligibility standards.

The Introduction to LASER certification course provides a great deal of exposure to the scientists, teachers, working engineers, or anybody interested in knowing how LASERS work. Spread over 12 weeks, this elective course is offered by Prof. M. R Shenoy, a faculty of IIT Delhi.  He joined IIT Delhi in 1988 and is known for his collaborative research on Integrated Optical Devices. 

The Introduction to LASER certification syllabus gives students deep insights into the principle functioning behind the lasers. It also deals with the issues concerned with the design and output characteristics of the Lasers along with resonator physics. 

The Introduction to LASER training is an ‘applied’ course in nature. It could be opted by students studying B.E/B.Tech (3rd/4th year)/M.Sc (2nd year)/M.Tech (1st year). Moreover, the course is approved by the AICTE as an FDP course. It mandates a sincere and regular effort on the part of the student to obtain expertise in the subject. 

The Thermodynamics programme offers the candidate in-depth knowledge of thermodynamics and the first and second laws of thermodynamics in detail. The course will deal with the topics like state and concepts and definitions with the system, boundary, and steady-state. The course covers topics like conservation of mass for open and closed systems and thermodynamics of engineered equipment. 

The programme also offers the candidate a proper understanding of psychrometry and its applications and the conditioning of humidification, cooling towers, evaporative cooling, air, and applications air conditioning, etc. The Thermodynamics training course also deals with the equivalence ratio and stoichiometry. 

The Thermodynamics online course instructor is a well-experienced faculty member of IIT Delhi professor S. R. Kale to guide the candidate. The course is free of cost and candidates will be provided with an E-certificate after qualifying the certification criteria. The candidate can access the course at their time requirements. It is an online course by Swayam. The certificate will be having the logos of IIT Madras and NPTEL.

The Statistical Mechanics online course offers a fundamental understanding of statistical mechanics and thermodynamics. It begins with the basic concepts of thermodynamics and takes on statistical mechanics principles towards the end. The program does mandate any prior exposure to the topics.

The Statistical Mechanics course syllabus covers topics like laws of thermodynamics, entropy, types of canonical ensemble, the theory of probability, and quantum mechanics. The program is a core course in the Physics discipline. Over the 12 weeks, you will be provided with high-quality video lectures delivered by Prof. Dipanjan Chakraborty.

IISER Mohali provides the Statistical Mechanics certification course in conjunction with Swayam. If you wish, you can also opt for the digital course certificate issued by Swayam. This certificate can be easily attached to your CV and LinkedIn profile. However, you will have to register for an exam by paying the requisite fee and pass the test to receive the e-certificate.

Designed by IIT Roorkee, the Introduction to Atmospheric and Space Sciences online course features their professor, MV Sunil Krishna, as the program instructor. The curriculum will span over 12 weeks and is divided into 60 presentations, each around 30 minutes long. This elective training will deal with the Earth’s atmosphere and space physics.

The Introduction to Atmospheric and Space Sciences certification is appropriate for students at the graduate and postgraduate level, covering aspects about the Earth’s atmospheric evolution and the chemical and physical reasons behind weather and climate changes. Candidates will study the Earth’s ionosphere, neutral atmosphere, and several plasma processes during this course. The principles of the interrelations between space and atmospheric physics as well as basic scientific tools and techniques will be discussed as well.

The Introduction to Atmospheric and Space Sciences training will conduct weekly practice assignments to promote better knowledge acquisition. Towards the end, candidates can also opt for the external proctored exam. The digital certificate will be provided based on the assignment and the exam scores.

The Advanced Atmospheric Physics certification by IIT Roorkee is a 12-week online course. This online certification course focuses on providing students with knowledge of advanced aspects of atmospheric and space physics. The Advanced Atmospheric Physics online course provides learners with the basics of inertial and non-inertial forces and the various dynamical phenomena. It also equips them with the understanding of various crucial aspects such as atmospheric waves and instabilities. The Advanced Atmospheric Physics certification syllabus will teach students about Atmospheric dynamics, Apparent forces, effective gravity, Thermal wind, Sound waves, gravity waves, Magnetosphere, and more.

The Advanced Atmospheric Physics training course can be an extension to the earlier NPTEL course: Introduction to atmospheric and space sciences. Offered via Swayam, students of B.Tech/ MSc/ MTech/ and Pre-PhD can enrol in this Advanced Atmospheric Physics certification by IIT Roorkee. After completing this online course, students can apply for jobs in R&D-based organizations like DRDO, ISRO, NCMRWF, and IMD.

The Quantum Technology and Quantum Phenomena in Macroscopic Systems Certification consists of a 12-week online course. IIT Guwahati develops and approves the course syllabus, even if Swayam is appointed to teach the course. The Indian Institute of Technology, Guwahati and NPTEL are the organisations authorized to issue this course certificate.

Quantum Technology and Quantum Phenomena in Macroscopic Systems training is offered as a physics elective. Amarendra Kumar Sarma is the instructor for this certification program.

The fundamentals of quantum physics, such as quantum entanglement and quantum superposition, are covered in this course. The goal of this course is to teach students quantum optics so they can explain solid-state nanosystems, which is necessary for the next stage of the technological revolution.

The Introduction to Astrophysical Fluids program is an elective course under the discipline of Physics. This AICTE approved FDP course will be held for 12 weeks and instructed by Prof Supratik Banerjee. The course is suitable for students pursuing any advanced UG or PG degrees.

The domain discussed in the Introduction to Astrophysical Fluids certification course has been under active research for the past 70 years. Candidates will learn about magnetospheric plasmas and solar wind, and how large interstellar clouds are borne out of the astrophysical fluid expansion. The course thoroughly explains phenomena such as solar flares, sunspots, stellar winds, accretion disks, star formation, supernovae explosions, and much more.

Derived from the IIT Kanpur course, the Introduction to Astrophysical Fluids training explicates astrophysical theories with an analytical, research-oriented, and systematic approach. Candidates will understand these concepts through phenomenological descriptions and by using specific mathematic tools taught throughout the course.

The X-ray Crystallography and Diffraction online training is an undergraduate-level core course. The programme belongs to the category of metallurgy and material science and mining engineering. Students in similar fields and domains such as physics, chemistry, and biological sciences will benefit from this course.

The X-ray Crystallography and Diffraction undergraduate course focuses on the properties, functions of the internal structure, and arrangement of atoms in a crystalline material. It offers an insight into how x-ray diffraction can solve crystallographic issues related to single and poly-crystalline material, right from the base.

The X-ray Crystallography and Diffraction online course require candidates to hand in 12 assignments out of which Swayam will consider a 25 percent average of the best eight as part of the final score. Candidates also have to answer an external proctored exam, and a total of 75 percent of this score will be added to the final score. Upon acquiring 40 percent in the final score, candidates will be eligible to get a certificate.

The Group Theory Methods In Physics Training course will provide the candidate an understanding of basic group theory methods in physics within a systematic manner. The course will cover the topics like Mulliken notation, great orthogonality theorem, and character tables, root vector diagrams, conjugacy classes, and unitary groups, subgroups and generators, weight vector diagrams, and basic introduction to discrete groups, su(2), su(3). 

The Group Theory Methods In Physics Programme will be having an instructor from IIT Bombay where the course e-certificate will be provided to candidates with the logo of NPTEL and IIT Bombay. The duration will be 12 weeks with online learning.

The participants' Group Theory Methods In Physics by Swayam will provide the candidate to go in-depth knowledge of orthogonal groups and lie algebra with continuous groups, generators, Lorentz transformation and quark model, su(3) baryons, mesons, Wigner-Eckart theorem, a hydrogen atom, dynamical symmetry. The experience of the instructor will help the candidate in solving the problems in a proper manner.

The Quantum Mechanics online program is a 12-week-long course designed to make the learners appreciate the neatness of Dirac’s bracket notation. It covers foundational concepts and explains them in simple terms to enable participants to pursue advanced courses afterward. The study of Dirac’s bracket notation will help the students explore various aspects of the microscopic world.

The Quantum Mechanics certification course is drafted and delivered by the celebrated Indian Institute of Technology (IIT), Bombay. It is brought to you by the National Program on Technology Enhanced Learning (NPTEL), which is a project of the Ministry of Human Resource Department (MHRD). Also, it is a Faculty Development Program (FDP) in Physics permitted by the AICTE.

The Quantum Mechanics training will teach various ideas of quantum mechanics including function spaces, Schrodinger pictures, angular momentum, quantum computer, tensor operators, and more. This core course also gives the candidates a chance to receive a digital certificate after fulfilling some fixed eligibility conditions.

Physics Of Biological Systems Program is an online learning course offered by swayam a program launched by the government of India. In this course, the candidate will understand the physics of natural frameworks with the assistance of hypothetical devices with models from assorted areas of biology. The course will offer a basic understanding of the viscosity and Navier stokes equation and fluid flows in biology with the theory and phenomenon of depletion forces.

The Physics Of Biological Systems Online Course offers the students in-depth knowledge of polymers and biopolymers, persistence length, and entropic elasticity with introduction to biophysics, spatial and temporal scales. The course will deal with topics related to scallop theorem and bacterial flagella along with cooperative binding and hemoglobin.

The Physics Of Biological Systems Training course instructor will be a well-experienced faculty from IIT Bombay Professor Mithun Mitra to guide the candidate all throughout the course. The duration of the program is of 12 weeks with the various assignments and the course will also provide the course certification by the end of the course with the logo of NPTEL and IIT Bombay. 

The Basic Statistical Mechanics Certification Course is a 12 week-long massive open online course that educates learners on the fundamentals of statistics and mechanics. The course is provided on the Swayam online learning platform and led by thy Prof. Biman Bagchi of IIT Bombay. The course is suitable for students aspiring to work in the field of pharmaceutical and fuel cell companies.

The Basic Statistical Mechanics Training is provided through video lectures and course materials by experts. The course can be completed within a duration of 12 weeks and is easily accessible online. Once all steps of course lessons and evaluations are completed, learners will receive the Basic Statistical Mechanics Certification by NPTEL and IIT Bombay.

Experimental Physics I Certification is a core course at the undergraduate level, which is offered online. It belongs to the category of Physics. The course will help students understand the working principle of common devices, their applications in different types of experiments. The course is also ideal for students who are preparing for GATE, NET, JAM, and JEST exams conducted by reputed institutes. There are three modules in the course and each module is 30 hours. 

Prof. Amal Kumar Das is the instructor for Experimental Physics I Certification course on the NPTEL website. Prof. Amal Kumar Das has a PhD in material science and experimental physics from the Institute of Physics, at Bhubaneswar. Each module is a 30 hours course. Currently, only module – I is discussed in this online course. Modules - II and III may be discussed in upcoming semesters. 

In this universe, we can observe matter in our everyday lives, existing in four states - the solid, liquid, gaseous, and plasma state. Other forms of matter exist as well, but only under specific and extreme conditions. Regardless of its existing structure, all matter is made up of atoms. The atomic arrangement, interatomic distances, and atomic ionization in matter determine its state. 

In the solid-state, atoms arrange themselves in a particular structure, which further imparts materials different properties such as thermal, electrical, optical, magnetic, and dielectric properties, among others. In the Solid State Physics online programme, candidates will learn about the structure of solids, their physical properties, and the underlying Physics.

The Solid State Physics online course is a 12-week programme at the undergraduate level. It is intended for B.Sc. (Physics, Chemistry, and Electronics), B.E., and B.Tech. (Electronics, Metallurgy, Metallic Science, Cryogenics) students.

The Electronic Theory of Solids programme by Swayam is a 12-week course that begins with a straightforward example of a two-atom solid. This course builds on this example and discusses the theory of electrons in an N-atom solid. The application to thermal and electrical properties in solids is also discussed.

The Electronic Theory of Solids training explains symmetries and how they relate to emergent electronic properties. Next, the course introduces the magnetism of solids to the students, and the origin and types of magnetic states are outlined. Students also learn about the concept of magnetic long-range order with examples.

Furthermore, the Electronic Theory of Solids certification course introduces the historical developments and basic superconductivity concepts. Students learn how to work out the BCS theory and the Cooper problem. Additionally, all successful participants of the course receive a certificate of completion to highlight their advanced skills.

The Experimental Physics II certification course throws light on the wide range of experiments in physics that form an important part of the knowledge base to be acquired by the students of engineering and science. Since there are no books available to elaborate on these experiments, we can understand why the course is highly reputed for a reason. 

The Experimental Physics II certification syllabus extensively covers all the experiments ranging from reflection, refraction, and dispersion to quantum and atomic physics. The training spans over 12 weeks and Professor Amal Kumar Das from IIT Kharagpur teach it. He has completed his Ph.D. in experimental physics and material sciences from the autonomous Institute of Physics, (IOPB) Bhubaneswar and is currently working as a faculty in the Department of Physics at IIT Kharagpur.

The Experimental Physics II training helps the students in understanding the core concepts of each of the experiments. This simplified training is made available in the form of video lectures over the NPTEL platform. Thus, the online course not only imparts knowledge but also ensures that the evaluation of the same is done in an effective manner. The course sees to that the absence of specialized teachers to simplify the subject is compensated in our country.

The Experimental Physics certification course enables students to understand and grasp all the concepts used in the experiments of mechanics, sound, magnetism, electricity, optics, quantum physics, modern physics, and solid-state physics. The course has been conveniently divided into modules that come with 30 hours of lessons each. The training is also preceded by two other courses which deal with different modules of experiments. 

Currently, the Experimental Physics III certification syllabus comprises the third module of experiments which deals with the topics of solid-state physics and modern physics. The course is spread over 12 weeks and is taught by Professor Amal Kumar Das who is currently working as a faculty in the physics department of IIT Kharagpur. Students can apply this knowledge in securing higher scores in national level exams like NET, JAM, GATE, and JEST which are conducted by UGC/CSIR, IIT, IIT, and SERB respectively.   

The Experimental Physics III training comes with a curriculum that is not only ideal for undergraduate students of physics but also mandatory for undergraduates of engineering, technology, and science. Since these students are required to deal with instruments at different points of time through their courses, this program can easily prove beneficial to them. It will enable them to understand the working principles behind several common devices in experiments.

The online programme on the Physics of linear and nonlinear optical waveguides by Swayam has been purposefully structured to provide the registered students with the theoretical basis and applications for the field of optical waveguides. In the certification online session, the students will be learning about the principles of light-matter reactions.

The process and mechanisms of light-matter in linear, as well as non-linear reactions, will also be covered in the Physics of linear and nonlinear optical waveguides training. In the Physics of linear and nonlinear optical waveguides certification syllabus, the topics that will be covered are-   Maxwell’s equation, Total Internal reflection, Concept of core and cladding, Linear and nonlinear optical waveguides & brief history, Plane-wave, Wave equation, Snell’s Law and other topics that are related to optical waveguides. The course will thus be helping the registered students to develop industrial-level skills and also develop academic-level knowledge.

The ‘Classical Mechanics: From Newtonian to Lagrangian Formulation’ online certification course is developed for the students to study and discuss the classical concepts of mechanics in the domain of engineering and physics. This National Programme on Technology Enhanced Learning (NPTEL) free online training course is provided by Swayam initiated by the government of India. The classes of this core course of undergraduate level are conducted online for a period of twelve weeks.

The course instructor for this online program is Prof. Debalmalya Banerjee, faculty from the department of physics at the Indian Institute of Technology Kharagpur. This course helps the students develop their expertise and knowledge on concepts such as Newtonian laws and other theories of classical physics and gravity. This ‘Classical Mechanics: From Newtonian to Lagrangian Formulation’ online training program enables the students to get a certificate and credit points at the end of this All India Council for Technical Education approved course.

A 12-week online course is required for the Thermal Physics Certification. Although Swayam is allotted to teach the course, IIT Kharagpur advances and authorises the course syllabus. This course certificate is approved to be delivered by the Indian Institute of Technology, Kharagpur, and NPTEL. Thermal Physics training is offered as a physics core program. Debamalya Banerjee is the instructor for this certification program.

This course focuses on the internal energy that results from the motion of the atoms and molecules that make up an item as well as the transfer of this energy, or heat, from one object to another and integrates the study of thermodynamics, statistical mechanics, and gas kinetic theory. It aims to provide a general overview of each of the three main heat-related topics.