Page 11 - Swayam Courses & Certifications 2026 - Free & Paid Online Swayam Courses

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

IISER Kolkata via Swayam

Certificate

Research Methodology

The online course for the Research Methodology Certification lasts for 12 weeks. Although Swayam is chosen to serve as the course's instructor, IISER Kolkata creates and approves the course syllabus. The organization authorized to provide this course certificate are NPTEL and the Indian Institute of Science Education and Research, Kolkata.

Research Methodology training is a part of the multidisciplinary elective curriculum. This certification course is taught by Soumitro Banerjee.

The entire conceptual and methodological spectrum that is involved in doing successful research is covered in the course. This encompasses the philosophy of science, measurement of methodological challenges, developing and testing hypotheses, scientific communication, and ethical concerns in scientific practice. It offers a thorough plan that aids in keeping researchers on course and makes the procedure simple, efficient, and manageable.

12 Weeks

₹ Free

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Skills Covered:

Logical Reasoning

Offered by

IGNOU via Swayam

Certificate

Web Content Management

The Web Content Management programme by Swayam is a postgraduate, elective course for the Master of the Library and Information Sciences (MLIS). The course aims to develop the basics of content development, teach the usage of tools for e-publication, virtual reality, and content development. It also talks about CMS applications Drupal and Joomla, and the e-learning platform Moodle.

The Web Content Management online course curriculum includes topics such as web hosting, managing multimedia content, screencasting tools and techniques, introduction to Moodle, and more. Prof Uma Kanjilal will deliver the course. She has more than 30 years of teaching experience in IGNOU and was a Fulbright scholar at the University of Illinois, Urbana Champaign, USA.

However, if you wish to acquire the certificate, you will have to take certification exams for which you have to register separately on Swayam’s official website. The course will continue over a period of 12 weeks.

12 Weeks

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Skills Covered:

Content Management 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

Rabindra Bharati University, Kolkata via Swayam

Certificate

Junior Course in Kathak

The Junior Course in Kathak by Swayam teaches Kathak, one of the most popular and graceful classical dance forms of India. Kathak is anchored on the Hindustani Classical Music system and has been performed for centuries throughout the Indo-Gangetic valley. It has emerged into a popular dance form performed across the globe.

The Kathak training focuses on key components of this classical dance form such as footwork, body movements, hand and eye movements, grace, poses, expressions, the portrayal of rhythmic structures, and enactment of stories. Additionally, taking this course and learning Kathak will make your body look younger, reduce body weight, and make you more energetic and active.

Besides, the Kathak certification course provides detailed and systematic practical dance training while discussing its aesthetics and history. This course also comes with a certificate provided towards the course end. All participants who complete the entire course curriculum and clear the final test will receive this completion certificate.

12 Weeks

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Skills Covered:

Dancing skills

Offered by

IISc Bangalore via Swayam

Certificate

Sound and Structural Vibration

12 Weeks

₹ Free

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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

English and Foreign Languages University, Hyderabad via Swayam

Certificate

Private International Law and Alternative Dispute Resolution: Indian Legal Position

The Private International Law and Alternative Dispute Resolution: Indian Legal Position certification course falls under the domain of law and is used in the resolution of disputes/cases that have a foreign character to it. Precisely, this law is put to immediate use in cases where none of two parties belongs to the country locally or is a citizen of another country with a different legal system. The private international laws help resolve such problems through the determination of jurisdiction of the courts to handle the disputes.

Moreover, the law also speaks of recognising and enforcing foreign judgments and the application of the choice of law of the parties. The Private International Law and Alternative Dispute Resolution: Indian Legal Position certification syllabus covers all the relevant treaties, conventions, laws and international organisation. Thus, the law course effectively teaches students the significance of private international law in disputes.

The Private International Law and Alternative Dispute Resolution: Indian Legal Position training offers learners an outline of the alternative dispute resolution mechanism, with a special emphasis on Indian laws. It also throws light on its suitability in comparison to the judicial system. In addition, the course discusses arbitration as a method of resolving disputes in both international and domestic contexts.

12 Weeks

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Skills Covered:

Knowledge of law

Offered by

IIT Bombay via Swayam

Certificate

An Introduction to Programming through C++

An Introduction to Programming through C++ certification course is an undergraduate-level study. The training is based on computers and program engineering that teaches its learners problem solving using C++. It covers the basics of programming notions and arithmetic applications. Students will know the design and standard libraries of the C++ programming language.

Spread across 12-weeks of learning, An Introduction to Programming through C++ certification syllabus exposes learners to concepts such as dynamic memory allocation, recursive algorithms, and drawings. It also involves a discussion on a rudimentary graphics system. Using this safer version of computer language, candidates can design programs fast with low-level features.

Developed by the Indian Institute of Technology, Kanpur, learners can pursue the course for free. However, for An Introduction to Programming through C++ certification, students need to sit for a scheduled examination by paying the necessary fee. Candidates need to secure an average combined score in course assignments and final examination for the e-certificate.

12 Weeks

₹ Free

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Skills Covered:

C++ Programming skills

Offered by

English and Foreign Languages University, Hyderabad via Swayam

Certificate

Indian Judicial System: Legal Aid and Environmental Protection

This course on the Indian judicial system: legal aid and environment protection certification course by Swayam is introduced to impart knowledge on the Indian judicial system and its development. How to meet the ends of justice by the use of legal aid and the protection of our environment under Indian law is what this course covers. The course also tells the drawbacks of the judicial system in India and the use of alternative dispute resolution (ADR) in today's world. It highlights the importance of biodiversity and throws light on the role of judicial activism in India.

It is expected from every citizen of our country that he/she is well aware of all laws and that ignorance of the law is no excuse (ignorantia Juris nonexcusat). This Indian Judicial System: Legal Aid and Environmental Protection online course are beneficial to all students, citizens, and environmentalists as it explains in detail the role of the court in our lives. It explains in detail how to use the right of legal aid which is available to every citizen. It discusses the role of the environment and how we should protect it by implementing the laws provided to us by the legal system.

The Indian Judicial System: Legal Aid and Environmental Protection training course focus on the supreme court, high courts, special courts and tribunals, constitutional law, the criminal justice system, and much more. This 12 weeks course has many mentors in it.

12 Weeks

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Skills Covered:

Knowledge of law

Offered by

LMS Law College, Imphal via Swayam

Certificate

Human Rights and Humanitarian Law

Every aspirant, law student and activist must know the laws that describe human rights. This course covers all the areas that are a must for everyone to know and learn. It goes over to great depths on these topics and teaches them not only what one has to know in this domain but also provides them with useful insights.

Human rights and humanitarian laws is a course that deals with laws that take effect when armed conflicts appear and the functions of agencies that play a great helping hand role for others like the Red Cross Society.

It teaches the candidates about how humanitarian laws are now amalgamating with human rights and is being backed by world communities. It gives in detail contents about the evolution of these laws and their role and functions. The course has been made by expert faculties of India and is taught in the best law universities all over the world.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of law

Offered by

NLSIU Bangalore via Swayam

Certificate

Human Rights

The Human Rights certification course offers the candidates learning about the rights and the norms which govern them. In detail, the candidates will be examining the imperatives of human rights. The candidates will be able to make a critical appraisal of theoretical foundations associated with human rights.

The candidates will have broader exposure towards the norms prevailing in society, and the history behind it. The history will make the aspirants aware of the acts which govern these laws of human rights. The candidates will be learning thoroughly about all the distinct sub-topics.

The Human Rights training programme will help candidates have in-depth learning with the experts conducting the sessions. Forums will be boosting up their level of knowledge and help them make contributions towards society. Human rights has always been a topic which the candidates fail to understand. The course is a certified course for candidates seeking jobs in these domains.

12 Weeks

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Skills Covered:

Knowledge of law

Offered by

LMS Law College, Imphal via Swayam

Certificate

Human Rights Law and Criminal Justice

The Human rights law and criminal justice online course is an offline undergraduate level core course offered to all students from one online platform.. The course is included in the MOOC programs provided by the online platform called SWAYAM Swayam which is an Indian Government initiative to promote accessible premium education to all with feasible and minimum requirements.

This is regulated by the country's best national authorities and this course is under Consortium for Educational Communication (CEC) which controls this course of L.M.S Law college in Imphal. The course is hosted by the same college under the guidance of Dr. N. Pramod Singh. The Human rights law and criminal justice certification benefits also come with credit eligibility which can only be claimed by appearing and clearing the proctored end-term examinations.

This course mainly focuses on exploring the connections between criminal justice and human rights in which key concepts such as role of different level of courts, importance of correction centres and jails, various law enforcement agencies, protection of women’s and children rights under criminal and international laws and so on are discussed in the Human right law and criminal justice programme to provide a comprehensive understanding regarding the topic.

12 Weeks

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Skills Covered:

Knowledge of law

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

NLU Hyderabad (NALSAR) via Swayam

Certificate

Online Refresher Course in Law

This Online Refresher Course in Law certification course will help to trace the recent development in the legal field and train the candidate on various innovations in the technical world to equip themselves as law teachers or instructors practicing critical teaching in law. The growth of legal specializations in a rapid way has led to fragmentation in understanding the legal world and Online Refresher Course in Law training helps to address that by enhancing the understanding of law in generic ways.

The Online Refresher Course in Law program helps to inform about the legal controversies and developments which is essential knowledge for law scholars in all specializations. This course also helps the candidate to advance interdisciplinary learning on how knowledge from other areas can help in deepening understanding of law as well as using interdisciplinary knowledge to illustrate how development in a given field can impact its associated field.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of International law

Offered by

NLSIU Bangalore via Swayam

Certificate

Constitution of India and Environmental Governance: Administrative and Adjudicatory Process

The ‘Constitution of India and Environmental Governance: Administrative and Adjudicatory Process’ online certification course is an interdisciplinary course developed for the students to discuss and learn about the different legal aspects associated with environmental management and the governance of natural resources. This National Program for Technology Enhanced Learning(NPTEL) free program is provided by the Swayam online education portal by the government of India. The participants of this course can complete the course of study in twelve weeks.

The instructor for this core course is Dr. Sairam Bhat, a professor teaching law at the National Law School of India University, Bengaluru. The students of this course will gain insights from a wide range of disciplines environmental economics, ecological sciences, biochemistry, human rights, sociology, anthropology, and political aspects.

The ‘Constitution of India and Environmental Governance: Administrative and Adjudicatory Process’ online training enables students to get a certificate and credit points after completing the course.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of law Knowledge of Economics Knowledge of Environmental Science

Offered by

St Xavier's College Kolkata via Swayam

Certificate

Constitutional Government & Democracy in India

The ‘Constitutional Government & Democracy in India’ online course is designed for the candidates of the program to develop an understanding of the constitutional framework and its functions in the state and the organizations associated with it. The students of this course will engage in the discussion of aspects of state institutions, their interaction, and the various issues of conflicts. This certification course is provided by Swayam online portal in collaboration with the Consortium for Educational Communication (CEC).

This humanities and social sciences course is a free learning program conducted for eight weeks and the students are expected to put in an effort of eight to ten hours per week to complete the course. The instructor for this core course is Prof. Amitabha Ray from St. Xavier's College (Autonomous), Kolkata.

The ‘Constitutional Government & Democracy in India’ online certification program enables students to get the certification and credit points after completing the course and assessments successfully. The students of this course will learn through the E-content, online resources, and the Q/A platform.

12 Weeks

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Skills Covered:

Knowledge of law Knowledge of political science Knowledge of history

Offered by

English and Foreign Languages University, Hyderabad via Swayam

Certificate

Legal Theory and Law Relating to Women

For a complete understanding of the legislation, its motivations, and its goals, Legal Theory and Law Relating to Women Certification is necessary.

Legal Theory and Law Relating to Women Classes highlight the various, varied viewpoints well-known philosophers and jurists have had regarding the law and its goals, which helps to frame the laws in an effective way and also aids in improved adjudication.

In its first section, the Legal Theory and Law Relating to Women Certification Syllabus syllabus thoroughly explains each element of legal theory. In its second section, with emphasis on position in India, it provides a grasp of the law relating to women.

All students get a Legal Theory and Law Relating to Women Certification by The English and Foreign Languages University (TEFLU) under the Swayam Initiative by the Government of India.

12 Weeks

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Information Sources and Library Services

Offered by

IGNOU via Swayam

Certificate

BLII-013: Information Sources and Library Services

This 12-week diploma course in Information Sources and Library Services by Swayam will educate you about different information sources and their uses. The expert training programme will polish your ability to extract requisite information and employ it to derive the optimal results.

Moreover, the Information Sources and Library Services training course will teach you about the uses of these information sources in the library. You will learn about providing library services based on these sources. Also, the online course will allow you to know about the relevance of circulation services, reference services, and awareness services.

Incidentally, the Information Sources and Library Services curriculum is robust and features six units replete with videos and reading material. This will help accentuate the learning experience and contribute to your specialisation.

Moreover, Dr Archana Shukla will instruct the Information Sources and Library Services training programme, who is an expert in her profession with years of industry experience.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of Library and Information Science

Offered by

IGNOU via Swayam

Certificate

BLI-011: Libraries: An Introduction

The BLI-011: Libraries: An Introduction online course will help you to learn the concepts of libraries through the lens of society. It provides a deep dive into the types of libraries and the functions of libraries amongst us.

The online course gives a holistic perspective by giving us insights into how libraries can impact and benefit society. Though libraries have existed for long, it has evolved and changed to be more modern for the youth of today. Hence, the course also discusses the current landscape in detail.

The BLI-011: Libraries: An Introduction programme is tutored by Dr Archna Shukla, who has immense experience in libraries through research and professional experience. This will invoke new perspectives and ideas on enhancing the role of libraries efficiently.

The BLI-011: Libraries: An Introduction course is also beneficial for anyone who wants to understand what it entails to be a librarian. The course is also equipped with weekly quizzes to learn the course thoroughly and evaluate the improvement.

12 Weeks

₹ Free

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Offered by

IGNOU via Swayam

Certificate

Library Automation and Digitisation

By making use of the latest technologies, this course of Library Automation and Digitisation by Swayam aims to improve the facilities and the services of libraries that exist today. This course will help the candidate in being well-versed with all the major concepts required to master the same.

Nowadays, the world is shifting more towards digital means. The use of print, paper and books are declining, and at the same time, the use of e-learning and e-books are steadily rising. At a time like this, a course which teaches the candidates the basics of library automation with reference to digitisation is very relevant in fetching jobs as librarians or even for personal convenience.

This course is an ongoing, core course. It belongs to the category of Library and Information Sciences. The duration of this course is 12 hours, and it is a diploma level course. With the help of an encouraging and guiding faculty, the candidates will master the concepts easily and apply for different posts where they find themselves eligible.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of Library and Information Science

Offered by

IGNOU via Swayam

Certificate

BLI-221: Library Information and Society

The Library Information and Society Course is a 12-weeks long course provided by the Indira Gandhi National Open University. It is the first among the 9 courses constituting the Bachelor's Degree in Library and Information Science. The course will introduce candidates to the role of library and information in a society.

The Library Information and Society Online Course offered by Swayam and coordinated by Prof. Kunwar Singh discusses the core features of library science and information systems that play a definite role in shaping the world. This postgraduate-level course explains the basic functions of libraries and information networks along with their legislative framework.

The Library Information and Society Certification Course is spread over 14 units wherein the final sections give an overview of the professional nature of librarianship. The course will discuss various organizations involved in the progress of library and information services and thus aid candidates who are wishing to pursue a career in library science.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of Library and Information Science

Offered by

IGNOU via Swayam

Certificate

BLI-224: ICT Fundamentals

The ICT Fundamentals Certification Course is a course that prepares candidates to pursue a career in Library and Information Science. The course provides knowledge about the basics of computer technology and communication technology that will aid in forging a bright career with professional gains.

The ICT Fundamentals Training Course is a 12-weeks long course that teaches candidates about the working of multimedia systems and network applications in the digital world. The course introduces the usage of Office Tools along with discussions on sections like word processing, presentation, and spreadsheets.

The ICT Fundamentals Online Course offered by Swayam teaches the fundamentals of information and communication technology in a detailed manner. The course is spread over 16 units offering 4 credits and is taught under the guidance of Prof. Uma Kanjilal, Professor of Library and Information Science, Indira Gandhi National Open University.

12 Weeks

₹ Free

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Skills Covered:

Technology skills Knowledge of computer networking Knowledge of IT industry

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

Central University of Punjab, Bathinda via Swayam

Certificate

Biostatistics and Mathematical Biology

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kharagpur via Swayam

Certificate

Engineering Mathematics – I

This course is offered under NPTEL, funded by MoHRD, by IIT Kharagpur. It is aimed at teaching the basic mathematics that is essential in every stream of undergraduate studies in the categories of engineering and sciences. The course comprises topics in integral and differential calculus, linear algebra, and differential equations which students will be able to apply in a number of engineering problems.

This course will contain topics like Taylor's and Maclaurin's Theorems, Indeterminate Forms, Mean Value Theorems, etc. Partial derivatives, Taylor's development of functions of several variables, minima and maxima, and differentiability are also part of the course.

The course also teaches Leibnitz rule (differentiation under the integral sign), improper integrals, applications of multiple integrals and multiple integrals, their properties. Other topics incorporated in a series of 60 lectures over the course of 12 weeks, include Linear Equations’ Systems, Dimension and Basis of a Vector Space, Properties of a Matrix and its Rank, Vector Spaces.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

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

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