NPTEL Courses & Certifications 2026

Offered by

IIT Kanpur via Swayam +1

Certificate

Principles of Communication Systems - I

12 Months

₹ Free

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Offered by

IIT Kharagpur via Swayam +1

Certificate

Educational leadership

The ‘Educational leadership’ online certification course is offered as a massive open online course to enhance the significance of leadership in educational organizations that leads them towards development. The students are given an opportunity to discuss the tools and techniques to gain leadership skills within the context of an educational institution. This free online course is provided by the Swayam online portal and the National Programme on Technology Enhanced Learning (NPTEL). This elective course is approved by the All India Council for Technical Education and is conducted for eight weeks through an online virtual environment.

The course instructor for this program is Prof. Atasi Mohanty from the center for education technology at the Indian Institute of Technology Kharagpur. The candidates of this training will acquire theoretical and practical knowledge of the concepts of educational management and administration. The students of the ‘Educational leadership’ online training program are given the certificate and credit points for this humanities and social sciences program.

12 Weeks

₹ Free

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Skills Covered:

Leadership Teaching skills Critical thinking Managerial skill

Offered by

IIT Roorkee via Swayam +1

Certificate

Leadership and Team Effectiveness

Leadership and Team Effectiveness Certification will discuss understanding by leadership, who is the leader? What type of leadership can a person do or perform? And what a leader has to perform as a leader of the group.

Also the difference between a manager and a leader: who is a manager? His job in planning, organizing, leading, and controlling and how a leader performs the job of a leadership activity will be taught in the course.

Leadership and Team Effectiveness Classes aim to explain the patterns of leadership roles for team effectiveness in noneconomic organizations compared to economic organizations.

All enrolled candidates get a Leadership and Team Effectiveness Certification from the Indian Institute of Technology Roorkee (IIT Roorkee) under the Swayam Initiative by the Government of India.

12 Weeks

₹ Free

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Skills Covered:

Leadership

Offered by

IIT Kharagpur via Swayam +1

Certificate

Concepts of Thermodynamics

Thermodynamics today has emerged practically as one of the most important branches of physics as it deals with the conversion of energy into heat and is the solution to various engineering problems. It was originally introduced during the 19th century when the Industrial Revolution was at its peak, and today we can detect thermodynamics in engines, generating electricity, riding a bike, and even moving an aeroplane.

Not just these, Thermodynamics today is part of major industries like iron and steel, power generation, food processing, air conditioning, refrigerators. Swayam Concepts of Thermodynamics Certification Course is designed to make learners understand the concept of how heat and work interact for various systems.

It contains audio-visual themed material through which students can thoroughly understand the concepts of thermodynamics. This also comes with practice tests so students can keep track of their progress.

The best part of this course is the online forum created where students can clear their doubts from the top-notch faculty members. The course is intended for b.tech undergraduates and teachers of undergraduate thermodynamics.

This is an undergraduate level mechanical engineering course. This course is made to make sure students learn and also get the best possible practical knowledge to understand the concepts and application of thermodynamics.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of physics

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Thermodynamics for Biological Systems: Classical and Statistical Aspect

Thermodynamics for Biological Systems: Classical and Statistical Aspect certification course offers the aspirants firm learning on the different relevant principles of thermodynamics. The different principles, properties, and differences in this thermodynamics have been illustrated with relevant examples.

The topics have been jotted down keeping in view of all the latest demands and topics under this field. The candidates can enjoy the learning any time during the course, as they will be able to access the materials throughout the time when they have taken the course and understood it well.

The Thermodynamics for Biological Systems: Classical and Statistical Aspect certification syllabus will help candidates learn all the terminologies in a simpler way. The industry exposure for the students has been given the utmost importance by the experts. Modules have been designed with proper time break so that the candidates have enough time to have their hands on the different learning attributes.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of physics

Offered by

IIT Kharagpur via Swayam +1

Certificate

Training and Development

Training and Development Certification is very important to understand who the employees are, what an organization is, and the importance of training and development in the employee’s lifecycle in the organization.

Training and Development Classes lay a lot of emphasis on learning through training, development, and knowledge management is a must-do if companies want to gain a competitive advantage and employee expectations.

All students get a Training and Development Certification from the Indian Institute of Technology Kharagpur (IIT Kharagpur) under the Swayam Initiative by the Government of India.

12 Weeks

₹ Free

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Skills Covered:

Training skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Quality Design and Control

The Quality Design and Control online program aim to teach the fundamental concepts, ideas, and statistical techniques used in quality assurance. These methods are utilized for quality control and design for systems, processes, and products in an industrial environment. You will study statistical process control, acceptance sampling, design for reliability, quality improvement through the Taguchi Method, and more.

Throughout the Quality Design and Control course duration, you will explore methods including process capability analysis, robust designing, quality management, and control, etc. employed in service and manufacturing organizations. This 12-week-long online training is an AICTE-approved Faculty Development Programme (FDP).

The Quality Design and Control certification course is a joint effort for undergraduate/postgraduate studying by Swayam and the Indian Institute of Technology, Kharagpur. It also features vast industry support from IT companies, Tata Steel, L&T, Tata Motors, and similar entities. Furthermore, you can get a course completion e-certificate after fulfilling the eligibility criteria.

12 Weeks

₹ Free

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Skills Covered:

Quality control

Offered by

IIT Kharagpur via Swayam +1

Certificate

Farm Machinery

Candidates can find the Farm Machinery course on the Swayam website. Swayam was envisioned by the Indian Ministry of Human Resource Development of the government of India to make access to education possible for all economic strata of society.

Swayam does not charge any course fee and the courses are created by researchers and scholars from India’s topmost institutes. But candidates who would like to get a certificate from Swayam need to pay an exam fee to be eligible for the end-term proctored exam, which is a compulsory requirement for getting Swayam certified.

The Farm Machinery course by Swayam is designed for people involved with agricultural engineering. They learn about the components and structure of basic modern horticultural equipment along with the basic principles of modern technology like sensors, embedded systems, image processing, and microcontrollers.

The course contents consist of basic principles and the correct utilization of modern techniques. Custom hiring, use of machines, and small farm mechanization techniques are also discussed in detail with real-life examples.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of engineering

Offered by

IIT Kharagpur via Swayam +1

Certificate

Irrigation and Drainage

SWAYAM is a platform offering interactive courses, prepared by the finest teachers in India. It is a Government initiative which aims to avail the best teaching resources to all, including the disadvantaged.

The course of IRRIGATION and DRAINAGE created under the NPTEL (National Programme on Technology Enhanced Learning) for Engineering by SWAYAM focuses on enriching the learning experience of students by using interactive teaching methods. This is one of the prime courses of the Agricultural Engineering program recommended for graduate and undergraduate students.

This course designed by remarkable teaching faculty focuses on various topics of soil- water-plant-atmosphere relationship, management of salt affected soils, crop water requirement, management of salt affected soils, irrigation water conveyance, measurement of irrigation water, drainage of agricultural lands, irrigation systems design and their performance evaluation, performance evaluation of drainage systems. It involves class tests, problem solving questions, quizzes and assignments.

An e-certificate having the logos of NPTEL and IIT Kharagpur will be made available after successful completion of this course, which will be valid in all irrigation based companies.

12 Weeks

₹ Free

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Skills Covered:

Civil Engineering skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Plant Design and Economics

The Certificate Programme in Plant Design and Economics by Swayam is intended for the students of chemical engineering, environmental engineering, chemical technology and biochemical engineering. The course in detail deals with (a) basic economic analysis of chemical plants and (b) the technologies used in the design of chemical processes.

Certificate Programme in Plant Design and Economics by Swayam will cover the basic concepts in plant design and chemical engineering. Upon completion of the Certificate Programme in Plant Design and Economics by Swayam candidates will learn to appreciate the significance of safety and design operation.

After completing the course in Certificate Programme in Plant Design and Economics by Swayam he/she will develop a deep understanding of the chemical process and will be able to perform a complete economic analysis of the plant. The main target of the course is to make students aware of the safety features and importance to chemical engineering.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of engineering

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Leadership for India Inc: Practical Concepts and Constructs

The Leadership for India Inc: Practical Concepts and Constructs program is a 12-week core curriculum that helps candidates gain a comprehensive understanding of management and leadership varying domains, blending real-world practice and theory distinctively. Through an extensive learning structure, the course explains leadership’s significance in business and industrial growth, its real-life case studies, theory’s practical applications, etc., all through a multi-disciplinary approach.

The Leadership for India Inc: Practical Concepts and Constructs certification syllabus encompasses 12 modules, each covering vital topics like leadership theories, how it’s used for sustainable growth, processes, functional models, structures, philosophies, competency leadership, and more. Through all this, the course paves the way for aspirants to build necessary skills for achieving leadership positions in organizations.

What’s more, the Leadership for India Inc: Practical Concepts and Constructs training features IIT Madras’s Professor, C Bhaktavatsala Rao, whose multi-decade business and industrial expertise spans various industries. Thus, course-takers get the opportunity to learn from this field’s veteran and opt for a program certificate to showcase their verified knowledge in leadership concepts and skills.

12 Weeks

₹ Free

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Skills Covered:

Leadership

Offered by

IIT Roorkee via Swayam +1

Certificate

Principles of Management

The Principles of Management online training aims to offer its students an overview of the management process, related concepts, and how management has evolved over the years. The course covers strategic management, decision-making, forecasting, and premising, including a few other critical concepts related to management. The instructor will talk about the different skills and functions required to be an efficient manager in the contemporary business environment.

IIT Roorkee has curated the Principles of Management certification syllabus, taught by Professor Usha Lenka, a subject-matter expert in this domain. It is a core curriculum designed for both undergraduate and postgraduate students. Spanning 12 weeks, the program falls under the categories ‘Minor in management’ and ‘Management studies’.

The Principles of Management course by Swayam is an FDP training, approved by AICTE. Promising an immersive educational experience, it provides video tutorials and internal assessments that are to be taken online. The candidates can also acquire an e-certificate if they take the end-term examination and fulfill all the required eligibility criteria.

12 Weeks

₹ Free

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Skills Covered:

Business Management

Offered by

IIT Kharagpur via Swayam +1

Certificate

Qualitative Research Methods and Research Writing

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).

12 Weeks

₹ Free

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Skills Covered:

Research skills

Offered by

IIT Roorkee via Swayam +1

Certificate

Business Statistics

The Business Statistics certification course introduces the students to business statistics and its application. The course is a free online program. It is offered by the platform of Swayam in association with the Indian Institute of Technology, Roorkee. Students will also be able to get a verified e-certificate for the course if they follow the given procedure. Although the proctored exam of the course demands an amount to be paid, students can still access the Business Statistics training for free without any payment.

Students who decide to learn through this course will get to know detailed information from topics such as data collection, probability, sample distributions, etc. Students can complete the course as per their wish, however, the estimated time taken for this course is 12 weeks. The Business Statistics online course contains quizzes, assignments, and tasks to get a better understanding of the course. The students will be given one assignment every week to understand every topic properly.

12 Weeks

₹ Free

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Skills Covered:

Statistical skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Ethical Hacking

The Ethical Hacking certification course is a 12 weeks program that is completely online and is taught by IIT Kharagpur professor Indranil Sengupta. The online platform of Swayam is used for offering the teachings of this ethical hacking course. Ethical hacking is a subject that is very important in these recent years. Thus learning this course has become very essential for both individuals, and organizations who want to work toward the information technology infrastructure.

The Ethical Hacking training is ideal for students who belong to a background in IT, Communication, Computer Science, Engineering in more. This ethical hacking course is ideal to help the organization prevent vulnerabilities in a system, application, or infrastructure that an attacker can use for exploitation. The online ethical course will help in preventing security breaches.

12 Weeks

₹ Free

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Skills Covered:

Ethical hacking

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Patent Law for Engineers and Scientists

The Patent Law for Engineers and Scientists certification course offers candidates a good understanding of the law of patent. The course offers the aspirants a better grip of learning on the fundamentals of the analysis. Experts will be conducting the sessions and exposing them to various industries based on their experience.

All the terms have been discussed with examples in the course. Discussion forums have been kept for every module so that the candidates are able to have crystal clear learning on every terminology. Quizzes comprises questions which are on the topic held by IIT Madras. Requirements of patentability have been laid emphasis on during the patent law for engineers and scientists nptel online course.

The Patent Law for Engineers and Scientists training also comes with certification where the candidates can use the certificate for applying in any of the industries. The candidates will gain skills on drafting a patent specification and several implementations of person skilled art. The video lectures can be watched depending upon the availability of the course.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of law

Offered by

IIT Roorkee via Swayam +1

Certificate

Global Marketing Management

The Global Marketing Management certification course focuses on making enrolled students more aware about the dynamics and dimensions of the global market and how to manage it through different methodologies and implementation of theories. The course will begin with the global market central module occupying a significant and growing portion of the overall business of the planet.

Today, almost all businesses, big and small, are influenced by world events and competition because most export output and secure suppliers from foreign countries. The Global Marketing Management training will help the students to grab the understanding of why it is necessary to consider the success of most managers, regardless of the scale of the sector, from a global viewpoint, to approach their operational strategies.

In view of the above, this course provides a fresh, updated analysis of the global business environment and successfully combines a comprehensive global business review with an exhaustive discussion of what is happening in the global market. The Global Marketing Management certification will give expressive and immense structure of the benefits. This is a core programme that is structured within the duration of Twelve weeks along with the compilation of the course with certification.

12 Weeks

₹ Free

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Skills Covered:

Marketing skills

Offered by

IIT Roorkee via Swayam +1

Certificate

Integrated Marketing Communication

Integrated Marketing Communication Certification is developed with a blend of theoretical lectures and various examples which will provide insights into real-life scenarios. It is the process of unifying a brand’s messaging for making it the same across all media platforms that the brand does use for its target audience.

Integrated Marketing Communication Classes will help participants get familiarized with the integration of marketing communication modes and strategies for building brands.

All students enrolling for the course get an Integrated Marketing Communication Certification from the Indian Institute of Technology Roorkee (IIT Roorkee) under the Swayam Initiative by the Government of India.

12 Weeks

₹ Free

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Skills Covered:

Marketing skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Management of Inventory Systems

The onset of globalisation and liberalisation in the Indian economy has increased the amount of competition faced by Indian industries. To ensure continuous improvement, there must be a focus on inventory/ material management systems. The Management of Inventory Systems certification course aims to provide training in this domain.

The course on Management of Inventory Systems by Swayam falls under the Management domain and is created by IIT Kharagpur. It is divided over 12 weeks and consists of 30 hours worth of lectures and video tutorials. The contents of the curriculum are highly comprehensive and relevant to the current industry scenario, as this is a core course at the university level.

This programme is an AICTE-approved FDP course and candidates can enrol for free. Throughout the course, students will work on 12 graded assignments, whose score will go towards calculating their final score. Candidates enrolled in the Management of Inventory Systems online course will learn about the various problem areas in inventory management, how to deal with risk, uncertainty, etc.

12 Weeks

₹ Free

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Skills Covered:

Supply Management

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Numerical Methods for Engineers

The Numerical Methods for Engineers course by Swayam is designed to give an overview of various numerical methods that are of great interest to scientists and engineers. This course focuses on the numerical techniques, its analysis and its properties. The theory behind numerical methods and applications of them are also discussed. Numerical methods are mainly used by computers to solve iterative and step-wise problems which are tedious to solve by hands.

This course covers concepts like curve fitting, interpolation, regression, linear systems and mathematical concepts like algebra, integration and differentiation. Various computational tools like FLUENT, Aspen, FORTRAN and MATLAB are used for teaching. Algebraic equations are solved using open and bracketing methods like Regula-Falsi, Bisection, Secant, Multivariate Newton’s method, Newton Raphson and Fixed point iteration.

The 12-week programme comprises weekly assignments and 2.5 hours of video tutorial every week. A discussion forum for clearing the doubts of the participants is also available. This course would greatly benefit the candidate to improve their problem solving ability.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Palakkad via Swayam +1

Certificate

Real Analysis I

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.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kanpur via Swayam +1

Certificate

Advanced Partial Differential Equations

The intention behind learning the Advanced Partial Differential Equations program is to understand the physical phenomenon occurring in nature. In this course, candidates will explore the basic ideas, inner workings, and characteristics of first-order equations. They will then progress to three fundamental second-order equations.

As mentioned before, the Advanced Partial Differential Equations certification syllabus will begin with the study of first-order equations such as the Burgers equation, entropy solutions, Reinmann problem, etc. After that, the course will explore the Laplace equation, Wave equation, and Heat equation in detail.

This course is an AICTE approved faculty development program. Individuals participating in the Advanced Partial Differential Equations Certification will go through a twelve-week process where they will learn through online lectures and weekly assignments under the guidance of Professor Kaushik Bal from IIT Kanpur. Participants of the course will be eligible to achieve a certificate by scoring well in assignments as well as a final offline exam.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kanpur via Swayam +1

Certificate

Applied Linear Algebra for Signal Processing, Data Analytics and Machine Learning

The Applied Linear Algebra for Signal Processing, Data Analytics and Machine Learning certification is offered by Swayam. The course will provide you with fundamental knowledge about the core concepts of Linear algebra. Linear algebra plays a significant role in a wide range of fields and has multiple applications, including data analysis, wireless communication, machine learning, finance and control, and signal processing.

The Applied Linear Algebra online programme is approved by AICTE and has been designed as an attempt to teach the cutting edge and diverse applications of linear algebra. If you are from the IT and engineering field, you will be interested in learning about the advanced concepts as they are extremely significant in multiple industries today. Thus, you can increase your knowledge and hiring prospects by enrolling on the course offered by Swayam in association with IIT Kanpur.

Besides, the Applied Linear Algebra certification will run for 12 weeks for free, and you can earn an e-certificate by taking a proctored exam. The training is a part of IIT Kanpur’s Faculty Development Programme (FDP). Apart from UG and PG students, practising scientists, engineers, and managers from various fields can purse the FDP.

12 Weeks

₹ Free

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Skills Covered:

Machine learning Data science knowledge Knowledge of Big Data

Offered by

IIT Delhi via Swayam +1

Certificate

Advanced Probability Theory

Advanced Probability Theory program is a core course in mathematics designed for undergraduate and postgraduate students who want to learn probability concepts from Kolmogorov’s Axioms. This financial industry-supported course will cover a variety of topics in 12 weeks.

Advanced Probability Theory certification will be conducted through a series of online lectures and regular assignments. Participants of the course can also appear for the final exam in person and gain a certificate upon passing all the criteria. The educator for this course is Professor Niladri Chatterjee from IIT Delhi.

Advanced Probability Theory will go through topics such as cumulative function distribution, probability density function and provide an introduction to the concept of a random variable. Participants will also learn about probability distributions, the function of one or two random variables, and the overview of order statistics. This is an AICTE approved program that also provides a list of books and references for the benefit of the participants.

12 Weeks

₹ Free

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Skills Covered:

Statistical skills

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Basic Calculus – 1

This Basic Calculus – 1 online course is offered by the Swayam online learning platform. It is coordinated by NPTEL. This course aims to guide basic calculus to all types of candidates irrespective of their social standing. The duration of this course is 12 weeks. The course will follow the referenced book chapters 1 to 5. The candidates will revise certain notions they learned in school and also will get introduced to new notions.

This course is primarily intended for those candidates who are at the undergraduate level pursuing Bsc. The calculus taught in this course will be an updated version of the calculus taught in schools. This course is accredited by NPTEL. The lectures of this course will be around 40-45 minutes. The instructor will solve about 100 problem exercises and show usage of graphs.

The Basic Calculus – 1 certification will have the logos of NPTEL and the Indian Institute of Technology Madras. The certification will benefit the candidates academically and professionally. The certification will be provided in the e-format. This makes it easily shareable on all platforms such as LinkedIn.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Bombay via Swayam +1

Certificate

Basic Real Analysis

The Basic Real Analysis certification course has been designed with the aim to cover several basic concepts such as real line, differentiation as well as integration. The course prepares candidates for future courses. The theorems have been well explained so that the basics are clear for the aspirants. Theories and logics have been covered in every module of the basic real analysis course.

The course will also be enhancing the skills of the individuals registering for the course. Discussion forums boosts up the confidence level, by offering rigorous learning during the learning phase of course. Assignments, reading sessions, video lectures and quizzes have been designed which ensures that the participants are having smooth learning.

Aspirants registering for the Basic Real Analysis online course will be able to solve the problems easily after the learning they acquire. Different terminologies such as limit superior and limit inferior have been included in the course.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Gandhinagar (IIT GN) , IIT Ropar (IIT-RPR) via Swayam +1

Certificate

Discrete Mathematics

Mathematical concepts are often complicated, and you might get bored learning them through the traditional chalk and board method. Hence, IIT Ropar has developed an innovative and creative course to teach discrete mathematics through the Discrete Mathematics certification course. The 12-week-long online programme lays emphasis on problem-solving skills and logical thinking.

Discrete mathematics is a significant branch of mathematics used in machine learning, data science, and software engineering. The Discrete Mathematics- IIT Ropar online course has been designed to make learning mathematics fun for students. You can learn through a series of video lectures that include several illustrations, animations and anecdotes to ensure full understanding and retention.

Furthermore, Discrete Mathematics training by Swayam assumes no prerequisites and is open for anyone interested in learning the programme. You can attain an official certificate awarded by Swayam and NPTEL at the end of the programme by qualifying for the final certification examination and all the assignments.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kharagpur via Swayam +1

Certificate

Integral and Vector Calculus

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.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Introduction to Commutative Algebra

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.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Roorkee via Swayam +1

Certificate

Ordinary And Partial Differential Equations And Applications

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.

12 Weeks

₹ Free

Compare

Skills Covered:

Mathematical skill

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