List of Online Courses and Certifications

The Environmental Chemistry and Microbiology online course aims to sensitise candidates on the environmental problems and how learning the facets of microbiology and environmental chemistry can help overcome it. The course is for both undergraduate and postgraduate level students.

The Environmental Chemistry and Microbiology certification syllabus includes major topics from environmental chemistry like chemical equilibria, reaction kinetics, basic concepts of chemistry, acidity, alkalinity, acids, and bases.

Other core topics covered include nuclear chemistry, nitrogen chemistry, carbonate system, chlorination, to name a few. On the other hand, the microbiology concepts covered in the curriculum include viruses, microbial growth, pathogens, microbial diversity, protozoa, algae, and the like.

Besides, the Environmental Chemistry and Microbiology certification by Swayam is taught by two eminent professors with a wide range of experience in the field, namely Prof. Anjali Pal and Prof. Sudha Goel. The programme consists of weekly assignments and a final assessment to check the candidates' progress.

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.

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 Heat Transfer certification is meant for students who want to get admitted to an undergraduate course. The course covers the broad subject line of heat transfer that takes place in different processes of different kinds of chemical industries. Candidates who are willing to learn from this college will be able to learn the basics of different modes of heat transport. 

The estimated time taken to complete the Heat Transfer certification syllabus is 12 weeks. Since the course is a self-paced program, students will be able to complete the curriculum according to their willingness. The course is provided by the Indian Institute of Technology, Bombay, and will contain 60 lectures in totality.

The Heat Transfer online course also provides the provision of certificates to the students. Participants can achieve a certificate for this online program by qualifying for the examination conducted by the creator offline. For a better learning experience of the course for the students, students will be provided with all the study notes, tests, quizzes, assessments, and other activities without any cost. 

In the Interactomics: Basics & Applications certification course, various technological platforms such as - label-free biosensors, protein microarrays and next-generation sequencing (NGS) technology will be elaborately discussed and their applications will also be provided to the applicants. In the Interactomics: Basics & Applications training all the students and participants will gain professional exposure to all the above mentioned technologies.

The experts will be guiding the students over the course of twelve weeks. The course will help the applicants to build both academic knowledge and a deep industry perspective. The online certification course would be providing the biology applicants with an intensive lecture series, which will also be followed by demonstrations designed to provide the applicants with the training required to unveil the endless possibilities and applications in interactomics research using the features of genomics and proteomics approach. The online Interactomics: Basics & Applications certification by Swayam will thus help the applicants to develop a deep level understanding of interactomics.

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 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. 

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.

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 Industrial Inorganic Chemistry certification course is designed with a student favourable atmosphere. The course focuses on the understanding of main variables to transform the manufactured goods into ideal goods that we use in our everyday lives, which has received a great shift in the way things work, and it is very important for us to recognize the importance of the chemical industry that has changed all our aspects of life. 

The Industrial Inorganic Chemistry certification that will be provided at the end of the program will help the candidate to do more further courses in the same respective field. The importance of the chemical industry that has influenced all our facets of life, such as agriculture, climate, food, hygiene, catalysis, building, etc., is very important for us to understand. 

It has also been extensively used to reduce the use of virgin materials in recycling industries. In relation to trends at the international level, the suggested course would cover all these topics. The Industrial Inorganic Chemistry training is extensively focused on grabbing analytical study platforms for the enrolled students to provide them better expressive knowledge.

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 Cognitive Psychology programme by Swayam, and  IIT Guwahati attempts to explain the fundamental cognitive processes which guide human behaviour. This course will impart enough knowledge to allow undergraduate, postgraduate, and Ph.D. students to tackle everyday problems and attain optimal solutions.

The Introduction to Cognitive Psychology training is a Humanities and Social Sciences course which is spread over 12 weeks. This program is offered by IIT Guwahati, and it is an AICTE approved FDP course.  In this course, students will learn essential topics such as object perception and recognition, long-term memory, reasoning, decision making, problem-solving, and human language skills.

Additionally, the Introduction to Cognitive Psychology certification course is taught by Prof. Naveen Kashyap, an associate professor of psychology at IIT Guwahati. He has been teaching in this institute for the past ten years and is highly knowledgeable in human cognitive processes. Moreover, students can obtain a certificate after completing this course and add it to their portfolios. 

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.

Developed by IIT Bombay, the Introduction to Stochastic Processes by Swayam is an AICTE-approved Faculty Development Programme. Students will gain the necessary skills to design models and assess the effects of any event. Based on Management studies, this elective course is open for students from all disciplines. 

The Introduction to Stochastic Processes certification syllabus is spread across 12 weeks. During this, students will learn Poisson processes, Continuous and Discrete Markov Chains, variance, random variables, probability, and Bayes rule. Moreover, it is provided at a postgraduate level. Book references and video lectures are also provided to help students learn effectively.

Candidates can earn the Introduction to Stochastic Processes certification by paying a nominal certification fee and appearing for the end-term certification exam conducted by Swayam. Additionally, they must complete all the 12 assignments given throughout the course duration. 

Moreover, several companies across sectors use Stochastic Processes in their operations. As such, they readily employ individuals certified through the Introduction to Stochastic Processes program. 

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.

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 primary aim of this online programme on Medicinal Chemistry by Swayam is to make the registered students familiarize themselves with the fundamental and primary concepts of drug discovery and the process of its development. The certification course has been formulated for the students who are having a background in the subject of chemistry and are interested in the process of drug discovery.

The purpose of this programme is to train the candidates on the various aspects of new drug development and drug discovery The  Medicinal Chemistry certification syllabus will be dealing with - target identification, drug screening, optimization lead discovery, and the molecular basis for the process drug design and framing the drug action.

The twelve-week programme will be emphasizing the students on the subject of chemistry. After completing the online programme the students will learn to classify the drugs on various lines. They will also study transition-state inhibitors in this programme.

The Microeconomics: Theory & Applications certification course will make students meet the ongoing policies and their respective implementation, the candidate can understand and grab the benefits and consequences of implemented policy in a better effective manner. This is indeed a doctoral tool for teaching economic theory and how these economic actors work within the so-called business social institution, including individuals such as customers and businesses.

This is one of the classes taken by students in their M.S./M.A. 1st-semester coursework in the programme in Economics. For M.Com./M.B.A.-registered students, microeconomics may be the only course they take in economics, and it offers a sound base for the economic theory that may be beneficial in their successful jobs. The Microeconomics: Theory & Applications training will provide an immense structure framework of the economy.

This basic course is intended to provide a framework for applied studies in economics, business, or public policy. That's why several lectures on quantitative methods that are useful in applied work have been offered in this course. The Microeconomics: Theory & Applications certification will be provided in the last. Candidates will be able to use fundamental microeconomic theory and mathematical methods to answer a variety of real-life market and policy problems upon successful completion of this course.

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 Qualitative Research Methods and Research Writing certification course is developed to provide you with basic qualitative research knowledge. It is a 12-week-long programme brought to you by the Indian Institute of Technology, Kharagpur. The course explains how qualitative research plays a key role in understanding our society’s ever-changing character.

The Qualitative Research Methods and Research Writing online course by SWAYAM teaches various concepts, methods, design techniques, research writing, referencing, etc. related to the field of qualitative research. You will learn how qualitative research methods can be utilised to investigate the ambiguous areas outside the scope of quantitative predictive research.

The Qualitative Research Methods and Research Writing programme also discuss techniques through which qualitative research complements quantitative research in social sciences and human behaviour. This online elective course also offers an e-certificate on the fulfilment of specific eligibility criteria. Moreover, it is an AICTE approved Faculty Development Programme (FDP).

The Molecular Spectroscopy: A Physical Chemist's Perspective certification course is an extensive course which is offered by the Indian Institute of Technology, Bombay. The programme focuses on molecular spectroscopy which is a part of quantum mechanics. The course gives an idea about the topic from the perspective of a chemist. The course provides an intermediate level of training and can be accessed by the graduates or postgraduate students. The Molecular Spectroscopy: A Physical Chemist's Perspective online course provides an in-depth explanation about the topics in the online mode. The course is provided at zero cost and can be pursued by students at their own pace.

The Molecular Spectroscopy: A Physical Chemist's Perspective programme also allows the candidates to have a verified certificate at the end of the programme by the means of payment of quoted amount followed by an offline exam. Candidates can avail of the study materials included in the course for absolutely free such as notes, references for external resources, tests, video and audio lectures, etc. Candidates do not have to go through any registration process in order to get into the course. The Molecular Spectroscopy: A Physical Chemist's Perspective certification syllabus can be completed in a time span of 3 months and there are no limitations regarding the maintenance of the attendance.

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.

The Quantum Transport online course includes a study of quantum methods and parameters in constructing transport systems. Set at a postgraduate level of study, this elective course is developed by IISER Thiruvananthapuram. The programme is supported by industry leaders such as IBM, SQC Sydney, Philips Semiconductors, and D-Wave systems.

Learners will understand concepts relating to weaker localisations, nanowires, 1D/ 2D systems, and quantum electrical amplifiers. By completing the Quantum Transport certification syllabus, students will grasp familiar effects of Quantum Hall, Josephson, Coulomb blockade, and Aharonov-Bohm. Additional avenues that open to candidates include research in metrology, quantum computing, and electrical sensing technologies.

Professor Madhu Thalakulam from IISER Thiruvananthapuram mentors the learners of this online training. In this FDP, candidates can secure an e-verifiable Quantum Transport certification. For the accreditation, they need to complete all the learning modules, submit assignments, and register for the end-term test. They must secure the minimum marks specified for assignments and final tests.

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 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 NBA Accreditation And Teaching - Learning In Engineering (NATE) training provide a postgraduate level of programme. The programme covers topics related to the NBA's guidelines regarding accreditation and teaching in the field of engineering. The course includes topics like OBE and accreditation, course designs and outcomes, surveys, etc. The course is designed for aspiring engineering faculty.  It includes 12 different chapters that will be dealt with over a time period of 3 months. The NBA Accreditation And Teaching - Learning In Engineering (NATE) certification syllabus will be taught by two different professors who are faculty members of IISc and MSRIT, Bangalore.

The course is provided by IISc, Bangalore and an e-certificate will be provided to the students if they choose to qualify for the proctored exam which will be conducted at the end of the programme. The course will be provided with study material. The NBA Accreditation And Teaching - Learning In Engineering (NATE) certification course is completely a free online learning experience which can be pursued according to the schedule of the student. Candidates are free to take time to decide about joining the course since there is no last date to apply for the course. Students can join the NBA Accreditation And Teaching - Learning In Engineering (NATE) programme as per their requirements. 

The Non-Conventional Energy Resources certification course will be providing the students with the key principles that will help the students to understand the primary concepts of the- operating principles that are being used in daily operations to work in a range of sectors that use the concepts of “non-conventional energy resources”. 

The online programme on Non-Conventional Energy Resources by Swayam will be helping the students to understand the key principles of- solar energy, batteries, geothermal conversions and fuel cells. The students will be made aware of both the disadvantages and advantages of the conventional sources of the energy sources.  

The twelve week programme will be dealing with multidisciplinary subjects that will be emphasizing more on the subjects of- environmental and energy related applications. After completing the online course the students will learn to frame the policies that are related to the energy sectors. The impact of solar energy will also be discussed in the course.

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.

Curated by IIT Guwahati, the Principles of Mechanical Measurement program is a 12-week course intended mainly for engineering students and professionals. The course falls under the Mechanical engineering category and is an undergraduate-level program. Due to the significance of measurement in engineering, the training is expected to have some level of industry support from any engineering firm or a related industry. 

Measurement and proper interpretation of an engineering task or experiment are of paramount importance. The Principles of Mechanical Measurement training introduces the participants to the fundamentals of measurement through discussions on terminologies and relevant concepts. The course will prepare a mathematical background for the candidates, which will help them understand and analyze the various measurement devices, and there will be a pertinent discussion on digitalization. 

The Principles of Mechanical Measurement certification course is a core course designed to impart a fundamental idea about measurement and its applications right from the basics. The candidates also get the opportunity to qualify for a Swayam e-certificate. However, they must complete all the course lectures and graded assignments and secure the required marks in the internal and end-term examinations.

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.