Free Teaching And Academics Courses & Certifications

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

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

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

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

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

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

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

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

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

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

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

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

SageMath is a python based, free and open-source computer algebra system (CAS). The software is being used widely to explore applied linear algebra, calculus, and numerical methods. The Computational Mathematics with SageMath course by Swayam aims to deep dive give practical learning to the applications of SageMath in the concepts mentioned earlier.

The Computational Mathematics with SageMath certification syllabus covers a range of topics like python, classes in python, use of NumPy, SciPy, and SymPy, exploring SageMath, local maximum and minimum, and the like. The AICTE verified course is perfectly suited to students wishing to pursue their careers in the data science or numerical computations industry.

Besides, the Computational Mathematics with SageMath online course is taught by an experienced professor from chemical technology, Mumbai, called Prof. Ajit Kumar. The 12-week course will contain weekly assignments for evaluation through which the students will be able to track their progress.

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

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

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

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

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

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

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

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

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

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

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

The ‘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. 

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

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

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

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 ‘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.

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.

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 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. 

The Biochemistry certification course is designed in a manner that will engage students with elementary education about the field and later it will bring them to the main scope of the course. This curriculum is an initial study that focuses on fundamental principles of biochemistry. The Biochemistry - IITKGP certification reflects on the understanding of the biological biomolecules: carbohydrates, sugars, nucleic acids. 

In addition to the principles of enzyme chemistry, the arrangement and functional functions of the macromolecules will be studied: kinetic models, pathways, resistance, structure, and process. The course will also discuss the fundamentals of membrane transportation and bioenergy concepts. After the end of the Biochemistry training, students are expected to grasp the chemical composition and the three-dimensional arrangement of these biomolecules in relation to their biological role. 

The course will take the modules of the whole curriculum one by one that will be engaged with the equally practical and theoretical studies for the program. The entire course will make the students more and more engaged with learning biochemistry with different assessments. 

It is important for students from the disciplines of chemistry, molecular biology, biochemistry, and the like to have the knowledge and skills in working with biomolecules in the laboratory. You can learn experimental biochemistry by joining Experimental Biochemistry, the online course offered by  IIT Kharagpur. The online courses offered by Swayam can be taken by undergraduate students who hail from the background of chemistry, biotechnology, and biochemistry. 

The Experimental Biochemistry Certification Course, provided by Swayam, is a free online programme that helps students to get familiar with biochemistry laboratories. Although experimental biochemistry NPTEL is free to join, the learners will have to pay the fee and sit for the exam to get a hold of the certificate of completion. The Experimental Biochemistry online course is a 12 weeks online programme that is taught jointly by Prof. Swagata Dasgupta and  Prof. Soumya De who are faculty members of IIT Kharagpur. 

This course on Enzymology will enable you to analyse scientific phenomena that enzymes form a part of. This knowledge will, in turn, help you to function effectively at both the academic and professional levels. This branch of biochemistry deals with the function of enzymes and their formation into their state of origin. 

As a multidisciplinary research field, Enzymology combines the fields of microbiology, biochemistry, molecular genetics, biology, and molecular biology. Hence, this subject is suitable for candidates belonging to various disciplines. The development in this subject is reflected in the advancement of the tools used by enzymologists. 

And this has created an increased demand for this subject. Tasks like genomic sequencing can be conducted with gene synthesis that is available at cheap prices. And this allows enzymologists to study any enzyme and produce pure proteins without much effort. 

Thorough knowledge of Enzymology can help you in building a career in biology as well as the other domains such as medical and environmental sciences. The course instructor has decades of experience in teaching this subject to the students belonging to the science department. This course will, therefore, help you in building a strong knowledge base on this subject. 

The Sex from molecules to Elephants course is being imparted by edX and IsraelX. This course will provide the learners with knowledge about sexual reproduction amongst different organisms, from animals, corals, fish, insects, and spiders to birds and mammals. Participants will be given tools to understand sexual reproduction and its mysteries. 

Participants will be introduced to the organisms in their native habitats such as the ancient bacteria living in thermal geysers in Yellowstone National Park and the great mammals roaming in the African savannah. They will also learn about the history of life on Earth and its present state. This course covers the concepts of meiosis, heredity, the fundamental molecular event that is regarded as the basis of sex, the fertility cycle, germ cell development amongst males and females, the variability of sex determination amongst the animal kingdom, and fertilization. They will also understand primitive plants, plant evolution, and their influence on animal development and the environment. 

The candidates are allowed to select any one track from the Verified or Audit tracks. The main difference between the 2 tracks is that in the Audit mode, the candidates will be getting limited access to the course materials whereas in the case of the Verified track, the candidates will get unlimited access.

Do you want to know about the fundamental aspects of biology? Then, Basics of Biology is an excellent course you can enrol in. The course is an online free certification with a duration of 12 weeks. Basics of Biology Certification Course, offered by Swayam, is an undergraduate-level course that will provide the learners with a thorough understanding of basic knowledge about biology. Further, it will explore human physiology and mechanisms of different kinds of diseases. 

So far, 5594 students have enrolled in the Basics of Biology Certification that is administered by IIT Guwahati. The online programme on  biology is led by By Prof. Vishal Trivedi who is a professor of Bioscience and Bioengineering at IIT Guwahati. The course is open for admission to the learners free of cost; but, if they need certification, they will have to appear for the exam after paying the exam fee. 

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 Advanced Transition Metal Organometallic Chemistry course by SWAYAM is designed to show the usefulness and impact of organometallic chemistry in society as a whole. The program will also discuss how the organometallic compounds act as intermediaries in various catalytic cycles and also utilized in many organic transformations. 

The Advanced Transition Metal Organometallic Chemistry online program is developed by the Indian Institute of Technology (IIT), Bombay. It explores how the results achieved within the confines of a laboratory or lab research is translated to industry-scale productions and applications. The course teaches the principles behind these compounds and how they influence society as a whole.

This 12-week-long program aims to connect the laboratory discoveries to its wide-scale utility in industrial procedures. You will learn many implementation dimensions of organometallic compounds in commercial processes.

The Chemistry Of Main Group Elements Programme by Swayam, offers deep coverage on the subject of chemistry. It covers different topics such as systematic understanding of chemical reactivity, bonding concepts, structure concepts, p-block elements, c-block elements and others. Various applications of main group elements and their compounds will also be added into the lectures. The intended audience for this training include the teachers, students and PhD scholars. The only prerequisites to join this course is 12th grade chemistry knowledge. This course will be very useful for those who are working in Pharmaceutical industries.

The duration of the Chemistry Of Main Group Elements Training by Swayam, is 12 weeks. This programme does not cost anything and can be enrolled for free. But the certificates are provided only if the learners register and write a proctored examination conducted by Swayam in person at any of the designated exam centres. This course will be instructed by Prof. M. S. Balakrishna (IIT Bombay). The course certification will be e-verifiable at nptel.ac.in/noc.

The Essentials of Oxidation, Reduction, and C-C Bond Formation by IIT Bombay and IISER Thiruvananthapuram, emphasizes concepts like selectivity, mechanism, stereochemistry, and their applications in synthetic problems. This postgraduate course falls under the domain of chemistry. Candidates registering for this course can also obtain a highly valuable accreditation from NPTEL and IIT Bombay.  

The Essentials of Oxidation, Reduction, and C-C Bond Formation certification is also an FDP course approved by AICTE. Spread over twelve weeks, the program is taught by Prof. Yashwant D Vankar, who professor in Chemistry from IIT Kanpur. The Essentials of Oxidation, Reduction, and C-C Bond Formation certification syllabus outlines all the essential concepts related to C-C bond formation. The course contents include all the topics like selectivity, swern oxidation, IBX, microbial oxidations, Sharpless epoxidation, Simmons-Smith cyclopropanation, Tamao fleming oxidation, and photosensitized oxidations.

The Fundamentals of Spectroscopy by Swayam will provide a detailed study of the interaction of light with a matter which is defined as Spectroscopy. This course will introduce the concepts of quantum mechanics and its usage in spectroscopy. The different forms of spectroscopy are studied in detail in this course. The principles of spectroscopy will be elaborated on in both theoretical and experimental ways. This course will lay the foundation from which structural aspects of a variety of systems in the fields of physics, chemistry, and biology will be understood.

The Swayam platform aims to provide the best quality education accessible to everyone. This platform is an initiative of the government of India. The course will be conducted online. This course is verified in the NPTEL platform as well. The NCL Pune and IISER Pune verifies this course. The course instructors are faculty members of these institutions.

The Fundamentals of Spectroscopy certification has accreditations from several prestigious institutions such as NPTEL, MHRD, NCL Pune, and IISER Pune. The certification is easily shareable on platforms such as Linkedin. Students aiming for higher studies and professionals wanting to accelerate their career growth can do so from this platform.

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 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.