Page 51 - Swayam Courses & Certifications 2026 - Free & Paid Online Swayam Courses

Offered by

Vivekananda College, Thakurpukur via Swayam

Certificate

History of Modern East Asia -1 (c.1840-1949)

The History of Modern East Asia -1 (c.1840-1949) course by Swayam will provide the learners with an in-sight into the historic events of pre modern China. They will learn about the pre modern societies, their social and ruling classes, the opium war of 1840, transformation of china into a semi colony, the Taiping revolution, the era of Tung Chi restoration and imperialism by the western powers and their ‘Open Door’ policy.

They will have knowledge about the democratic republican revolution which gave rise to a republic in China, various republican experiments of China which proved to be a failure, the student movement of 1919, commonly known as the May 4th Movement, the rise of Communist Party of China in 1920, the two edged struggle of the communist party of China against the Japanese imperialism, on one hand, and the nationalists, on the other and the victory of People’s Republic of China on 1st October 1949. Candidates who are keen on learning about the history of the Republic of China can pursue this course.

8 Weeks

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Skills Covered:

Knowledge of history

Offered by

Rabindra Bharati University, Kolkata via Swayam

Certificate

History of Modern East Asia II (c. 1868-1945) Japan & Korea

The History of Modern East Asia II (c. 1868-1945) Japan & Korea by Swayam is a massive open online course that will cater to students and scholars dealing with Japan and Korea’s historical background. The course will provide detailed information about Korea and Japan’s gradual modern transformation. The course covers the Joseon period to the colonization/ post-war periods. The diverse and parallel connection between Korea and Japan will be shown in the course.

The course is divided into two sections- Japan (c. 1868 - 1945) and Emergence of Modern Korea. The candidates will receive weekly assignments that have to be submitted on time. Model questions and support groups for answering the questions of the students will also be shown. This course will provide 2 credits that can be transferred through the credit transfer system in the academic records.

The candidates will receive the certification after clearing the end-term exam. The History of Modern East Asia II (c. 1868-1945) Japan & Korea online course certification is an asset that will add value to the student’s life. The certification will provide career growth and more accessibility to Korean and Japanese culture.

8 Weeks

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Skills Covered:

Knowledge of history

English Literature of the Romantic Period 1798-1832

Offered by

University of Hyderabad via Swayam

Certificate

English Literature of the Romantic Period, 1798-1832

English Literature of the Romantic Period, 1798-1832 online course is an elective programme that falls under the ‘Humanities and Social Sciences’ and ‘English Studies’ subject categories. The programme is a joint collaboration by the University of Hyderabad, Swayam’s learning platform, and NPTEL. Furthermore, this is an FDP training approved by the AICTE that focuses on students at both undergraduate and postgraduate levels.

The English Literature of the Romantic Period, 1798-1832 certification syllabus will introduce you to the Romantic age of English Literature. The course explores various Romanticism elements that include socio-cultural backgrounds, politics, aesthetics, sentiment and ecology through different romantic prose. As the programme does not have any prerequisites, you don't require any previous knowledge of the subject matter to enrol.

The English Literature of the Romantic Period online programme also provides an e-certificate to those who qualify for the final exam and fulfil all the eligibility requirements. As this is a free course by Swayam, you only have to pay the exam fee to gain the certification.

8 Weeks

₹ Free

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Skills Covered:

Knowledge of history

Offered by

IIT Guwahati (IITG) via Swayam +1

Certificate

Indian Business History

The Indian Business History online course covers the periods of Indian history from the 17th century to the 21st-century business economy developments. The evolutionary perspective of Indian business history will be covered. The nature of Indian business policies will be analyzed and its historical background will be shown to the candidates. India’s relations with foreign countries and how they shaped the Indian economy will also be analyzed.

Students from diverse backgrounds can learn from this course. The program is a government initiative wherein the entire program can be completed in 8 weeks. The program is offered via Swayam. Being a free learning programme, the people from weaker sections can get benefitted from the programme. The Indian Business History certification can be shared via Facebook, Linkedin, and other methods. The certification can be shared to gain new professional networks. The certification will benefit research-based work needs, career growth and academic recognition.

8 Weeks

₹ Free

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Skills Covered:

Knowledge of history

Offered by

IIT Guwahati (IITG) via Swayam +1

Certificate

Philosophical Foundations of Social Research

Philosophical Foundations of Social Research program indulges in the nature of social science inquiry. The course covers many topics, such as the philosophy of science, ontology, epistemology, and applications in different areas. At the end of the course, participants will be familiar with the plurality of views in the intellectual community, applications of the philosophy of science in social sciences, analyze issues in social sciences, and practice scholarly discussions.

Philosophical Foundations of Social Research certification is an elective course in humanities and social sciences with no enrolment fee or prerequisites. It is an online undergraduate/postgraduate course that any interested candidates can join. The course is the result of a collaboration between IIT Guwahati and NPTEL. This AICTE approved FDP course will be taught by professor Sambit Mallick.

Philosophical Foundations of Social Research is an eight-week-long course with an e-certificate available for candidates. Participants will be given periodic assignments to evaluate their progress. A list of books is also available on the website for any additional studying.

8 Weeks

₹ Free

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Skills Covered:

Knowledge of Sociology

Offered by

St Xavier's College Kolkata via Swayam

Certificate

Aspects of European History (1780-1939)

The ‘Aspects of European History (1780-1939)’ online course is a study of the history of Europe in the set time period along with the political and societal transformations. This massive online open course allows students to discuss political movements such as conservatism, liberalism, radicalism, democracy, socialism, Communism, and Fascism. This certification is provided by Swayam along with Consortium for Educational Communication (CEC).

The elective course is conducted for eight weeks and the classes are held in a virtual learning environment aided with online resources that offer an experiential learning process. The course instructor for this program is an academic professional, Prof. Subhas Ranjan Chakrobarty from St. Xavier's College (Autonomous), Kolkata.

The ‘Aspects of European History (1780-1939)’ online training focuses on the historical movements and delivers a perspective of the contemporary world. The humanities and social science course enable students to get a course certificate and credit points at the undergraduate level.

8 Weeks

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Skills Covered:

Knowledge of political science Knowledge of Sociology Knowledge of history

Offered by

IIT Kharagpur via Swayam +1

Certificate

Managing Change in Organizations

IIT Kharagpur has curated the Managing Change in Organizations training programme. It is an elective-type course intended for both undergraduate and postgraduate-level students. This FDP course is approved by AICTE and falls under the category of management studies. The programme has plenty of industry support from IT companies, Pharma companies, the Manufacturing and service sector, and R&D companies.

The Managing Change in Organizations programme by Swayam is taught by a top instructor from IIT Kharagpur, Professor KBL Srivastava. It aims to equip the candidates with the necessary training and tools to become trained change management professionals. It will help candidates understand the need for change and how to implement that change. They will also learn the different issues a change manager can face and how to combat them.

The Managing Change in Organizations certification is an online programme. The candidates can enroll and participate in this course without paying any course fee. There will be graded tests and assessments and an optional end-term examination for those candidates who apply for certification.

8 Weeks

₹ Free

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Skills Covered:

Managerial skill

Offered by

IIT Kharagpur via Swayam +1

Certificate

Principles of Human Resource Management

The Principles of Human Resource Management online course is curated by IIT Kharagpur. Professor Aradhna Mailk from the School of Management instructs the eight-week program. Learners will study more on employee commitment, performance appraisal, salary administration, and career planning in an organizational set-up. Students with management as an elective subject can take the course.

With a total of 11 learning modules, the Principles of Human Resource Management certification syllabus also includes weekly quizzes in the form of multiple-choice questions. These modules based on Management studies will include HR scorecard, appraisal process, staffing, employee relations, and compensation management.

Candidates can learn from the course free of cost. The study comes with video lectures and references. However, for the Principles of Human Resource Management certification, they must submit all in-course assignments and appear for an end-term assessment. To register for the test, students must check the website updates from time to time.

8 Weeks

₹ Free

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Skills Covered:

Human Resource Management

Offered by

IIT Kharagpur via Swayam +1

Certificate

Strategic Performance Management

IIT Kharagpur has curated the Strategic Performance Management training under the category of humanities and social sciences. This course will be conducted online and at a postgraduate level with Prof KBL Shrivastava. NPTEL and AICTE have approved of this FDP course, allowing credit transfer to other universities as well.

The Strategic Performance Management online course explores various areas of performance management to assist HR professionals and students with the dynamics of the performance management system. This system is in a constant state of evolving and requires professionals to have up-to-date knowledge. These changes involve planning, analysing, defining, and developing performance.

In the Strategic Performance Management programme, candidates will also learn about support-building and commitment and identify and reward good contribution and performance. This course also clarifies the roles and their expected performance by instilling performance development. For better comprehension, this course also uses examples of real-life Indian PM systems.

8 Weeks

₹ Free

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Skills Covered:

Human Resource Management

Offered by

SPPU (UNIPUNE) via Swayam

Certificate

Course in Information Technology

The Course in Information Technology online course is an important course based on the evolving digitalised world. Since most of our day-to-day life interactions, work, and institutions use IT, this course aims to increase the digital literacy of its learners. The complete knowledge of digital media and its key usage is covered throughout the course curriculum. It mainly revolves around thinking, storing, and processing, present, and future processes.

The course will run through the online mode. The entire course will have 3 credits which can be transferred after course completion. The course is designed for individuals opting for or is already at the undergraduate level. This course will provide reference links given by IT experts. The course is free of cost. The course platform is initiated by MHRD. The course is verified by Savitribai Phule Pune University. The course curriculum will consist of assignments and multiple-choice questions.

The Course in Information Technology by Swayam offers a verified certification. The certification can be availed after passing the final proctored examination. The candidates can grow their careers in the IT sector with the course certification. It will add more professional networking opportunities.

8 Weeks

₹ Free

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Skills Covered:

Database knowledge Networking Knowledge of cloud computing

Offered by

SPPU (UNIPUNE) via Swayam

Certificate

Management Information System

Management Information System is a Massive Open Online Course (MOOC) conducted by Savitribai Phule Pune University, Pune. The course, offered by Swayam, aims at equipping students about the effective ways in which information systems can be used in managing the resources of an organization. Understanding the core idea of information systems would help in building a successful business in the future.

The Management Information System Certification course introduces students to the key concepts of information technology centred around various networks, computer databases, computer security, decision support system and ITES. The knowledge acquired through this course will help students to make use of modern information systems and business software for the successful management of a company.

After the completion of all modules in the Management Information System Training Course, students will learn the greater role of information systems in managing the business functions at all levels and combining the efforts of both people and technologies. It will also provide an idea about the different problems faced by business management and effective strategies to overcome them.

8 Weeks

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Skills Covered:

Knowledge of IT industry Decision making skills Knowledge of Artificial Intelligence Systems analysis

Offered by

IIT Kharagpur via Swayam +1

Certificate

Introduction On Intellectual Property To Engineers And Technologists

Introduction On Intellectual Property To Engineers And Technologists Certification introduces the basics of intellectual property rights and the justification of ownership exclusivity in the form of property rights.

Introduction On Intellectual Property To Engineers And Technologists Classes teach about the importance of Intellectual Property as a key driver of the economy. Knowledge of intellectual property is essential for individuals especially Engineers And Technologists to take part in economic development.

All students get an Introduction On Intellectual Property To Engineers And Technologists Certification from the Indian Institute of Technology Kharagpur (IIT Kharagpur) under the Swayam Initiative by the Government of India.

8 Weeks

₹ Free

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Skills Covered:

Knowledge of law

Offered by

IIT Kharagpur via Swayam +1

Certificate

Roadmap for Patent Creation

Roadmap for Patent Creation online course deals with the process of patenting and will equip you with the knowledge to protect your innovative ideas. The curriculum dives into the basics of patenting and explains the procedure of filing for a patent. If you have any brilliant ideas that you wish to patent, then this is an extremely useful course for you.

Furthermore, the Roadmap for Patent Creation certification is provided by Swayam in collaboration with IIT Kharagpur. The faculty at IIT Kharagpur has compiled this comprehensive course and will be delivering it in the form of video lectures. The programme is multidisciplinary and falls under 'Law' and 'Patents and Intellectual Property Rights'.

After finishing the Roadmap for Patent Creation program, you will get the option of taking the proctored exam to determine whether you are eligible for the course certificate. The e-certificate can be printed and attached to your CV. You can also add it to your professional profile on job portals.

8 Weeks

₹ Free

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Skills Covered:

Knowledge of law

Offered by

IIT Kharagpur via Swayam +1

Certificate

Intellectual Property Rights and Competition Law

The Intellectual Property Rights and Competition Law certification course is only 8 weeks long. It can be found on the provider platform of Swayam but the course syllabus and the certificate are provided by NPTEL and IIT Kharagpur. This course is an elective one that usually caters to the category of management studies, and also patents, and Intellectual Property Rights.

The Intellectual Property Rights and Competition Law training explains what conflicting goals do IPR, and Competition Law has. The course is ideal for the people working in the management or law fields and hence provides an overview related to both the application and operation of the different laws in different jurisdictions that usually simplify the overlapping domain of Competition Law and Intellectual Property Rights.

8 Weeks

₹ Free

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Skills Covered:

Knowledge of law

Offered by

Kashmir University via Swayam

Certificate

Administrative Law

The ‘Administrative Law’ online course is offered for the students of undergraduate level to improve their understanding of the legal features and perspectives of law associated with administration and power. This online certification program is available for free and is provided by Swayam online portal in association with the Consortium for Educational Communication (CEC). The massive open online course (MOOC) course is a core program scheduled for a period of eight weeks.

The online classes enable students to engage with the video lectures, E-Content, assessments, and quizzes to gain theoretical and practical insights on the subject. This constitutional law program is led by various academic experts and is coordinated by Dr. Aneeda Jan from the Directorate of Distant Education (DDE) at the University of Kashmir.

The ‘Administrative Law’ online training course helps students to get a course completion certificate and credit points after finishing the course of study and the assessments fulfilling the qualification criteria.

8 Weeks

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Skills Covered:

Knowledge of law Legal Knowledge

Offered by

IGNOU via Swayam

Certificate

BGS-011: Understanding Gender and Law

For the BGS-011: Understanding Gender and Law Certification course, Swayam offers an 8-week online program. Dr. Smita M. Patil and Dr. Gurmeet Kaur are the instructors of the course curriculum which investigates the nature of law and its construction within sociopolitical groupings. This course elaborates on how the law is performed and evaluated in the Indian context.

BGS-011: Understanding Gender and Law training is covered in the multidisciplinary curriculum. The course’s syllabus and certificate issuing are the responsibility of the Indira Gandhi National Open University (IGNOU), New Delhi.

BGS-011: Understanding Gender and Law Certification by Swayam expose learners to crucial discussions about gender and law. It addresses vital premises concerning the formation of identities and social spaces, gender, and various sexual identities in the context of women and minority groups.

8 Weeks

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Offered by

IGNOU via Swayam

Certificate

CPI-101: Consumer Protection Legislation

8 Weeks

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Offered by

IGNOU via Swayam

Certificate

BLII- 014: ICT in Libraries

Swayam’s BLII- 014: ICT in the Libraries training course is a part of the IGNOU Programme Certificate in Library and Information Science. It is targeted at specialists working in a school, college, public, and university libraries. Through this course, you will learn how to efficiently employ Ubuntu, LibreOffice Writer, Impress, and Calc for day to day services.

The BLII- 014: ICT in Libraries online programme covers significant themes such as Library Automation, Digital Literacy, and Internet-based tools and services. This programme is carefully designed for library professionals and individuals aspiring to get basic computer training and learn various ICT tools.

Furthermore, the BLII- 014: ICT in Libraries certification training has a comprehensive curriculum to provide you with multimedia content including e-tutorials, video lectures, reading material and weekly quizzes. The course is spread over 8 weeks, and it is a diploma level programme. Explore various ICT instruments and increase employment opportunities with a course completion certificate.

8 Weeks

₹ Free

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Skills Covered:

Knowledge of Library and Information Science

Offered by

IIT Kanpur via Swayam +1

Certificate

Sustainability through Green Manufacturing Systems: An Applied Approach

The program on ‘Sustainability through Green Manufacturing Systems: An Applied Approach’ is a National Program for Technology Enhanced Learning free course developed and organized by the Indian Institute of Technology Kanpur. The online course is provided by the Swayam online education portal initiated by the ministry of education in India.

The online program is scheduled for eight weeks and the course instructors are faculty from IIT Kanpur namely, Prof. Deepu Philip working in the industrial & management engineering department and Prof. Amandeep Singh from the mechanical engineering department. The course study helps the students discuss the innovative ways that lead to green manufacturing systems that provide sustainability. By the end of this undergraduate-level course, the students will gain two credit points and a course completion certificate for which the proctored final exam is mandatory. This ‘Sustainability through Green Manufacturing Systems: An Applied Approach’ training program, a part of the management studies and manufacturing processes and technology is an elective course.

8 Weeks

₹ Free

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Skills Covered:

Knowledge of engineering Knowledge of science Knowledge of Environmental Science Designing skills Manufacturing knowledge Supply Management

Offered by

SPPU (UNIPUNE) via Swayam

Certificate

Special Services Marketing In India

The number of companies has improved a lot in the marketplace to give a platform to people who want to sell their products and make their brand popular in the marketplace. As compared to physical goods, they are intangible services that give the benefit of testing the service and then paying for it. More services are offered through companies to build a relationship with the clients by giving them a chance to know and test the service without any added cost.

Using the knowledge provided from this Special Services Marketing in India Course on Swayam, the candidates can learn the basic as well as the advanced knowledge about services and how to present to the customers. The effect of different kinds of services on the economy of the country is also taught to the candidates. The focus on quality more than quantity is fit in the candidate’s mind to make them aware of its importance in any company.

Candidates who want to pursue a career in marketing from big companies can take advantage of this course. Many companies have taken benefits of services and brought their marketing team to implement new plans for attracting more customers.

8 Weeks

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Skills Covered:

Marketing skills

Offered by

Manipur University, Imphal via Swayam

Certificate

Introduction to Marketing Management-1

The course will be primarily emphasizing marketing management techniques and their application. The certification program on Introduction to Marketing Management-1 by Swayam will be focusing on the concepts that include- the concepts related to marketing and its managerial decisions for helping the students formulate an effective marketing strategy. The Introduction to Marketing Management-1 certification syllabus over the period of eight weeks will cover the topics like- marketing environment, ethical issues related to marketing, microeconomics, marketing information, and others.

The course will be focusing on the subject of- “management studies”. After completing the Introduction to Marketing Management-1 certification course the students will have their skills enhanced in the subject of consumer behavior. The student's post completion of the program will learn to target the customers for the products by effectively placing their products. The program will be focusing on the working knowledge of the different concepts involved in marketing.

8 Weeks

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Skills Covered:

Marketing skills

Offered by

IISc Bangalore via Swayam

Certificate

Integrated Marketing Management

The Integrated Marketing Management online course will be providing the candidates with the details for providing them with a strong foundation in the field of the essentials of marketing management. The program covers all the necessary details that are involved in the fiercely competitive Indian market scenario.

The Integrated Marketing Management certification syllabus covers the following details about - marketing function, relationship with other functions, marketing concept, buyer behavior, consumer, marketing environment, marketing planning, relevance, marketing organization, product policy, market segmentation, sales forecasting, markets, distribution, management of sales force, advertising and promotion.

Upon completing the eight-week program the students will be learning to market new products. They will be able to formulate the product life cycles. The working mechanisms of pricing will also be covered in the online session on the Integrated Marketing Management by Swayam. The course will be helping the students to deal with the applications that are related to meta marketing strategies.

8 Weeks

₹ Free

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Skills Covered:

Marketing skills

Offered by

IIT Kanpur via Swayam +1

Certificate

Marketing Management - II

The Marketing Management-II elective course by Swayam takes around eight weeks to complete. It is the second part of the Marketing Management curriculum by Swayam. It is an undergraduate and postgraduate level programme falling under the category of Management Studies and Marketing. Professors Jayanta Chatterjee and Shashi Shekhar Mishra teach this course, which AICTE approved.

The Marketing Management-II online programme aims to introduce to the students the evolving marketing process in present times. Candidates will learn about the leading principles and practices which form the building blocks of marketing strategies. This course gets plenty of recognition and industry support from several Pharmaceutical, automotive, chemical, FMCG industries, and many engineering and service industries.

The Marketing Management-II training is 100% online except for the end-term evaluation examination. There are video lectures, reference material, graded tests, and assignments available to the candidates when they enroll in the course. Swayam does not charge any fee for enrolment in the programme.

8 Weeks

₹ Free

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Skills Covered:

Marketing skills Brand Management

Offered by

IIT Roorkee via Swayam +1

Certificate

Materials Science and Engineering

Designed exclusively for mechanical and production engineering students, the Materials Science and Engineering online course by Swayam focuses mainly on structural materials. The course covers both the theoretical as well as practical aspects of materials engineering. The syllabus has been divided into three categories, Crystallography, Mechanical properties, and Phase diagrams and heat treatments, each of which will be studied in detail.

IIT Roorkee curates the Materials Science and Engineering certification program. The course will be taught by a top instructor from the institute, Professor Vivek Pancholi. This course is an elective type, undergraduate-level program. The course falls under the category of Mining engineering, Material sciences, and Metallurgy.

The Materials Science and Engineering training will take around eight weeks to complete. Candidates will be taught online via video tutorials and graded assignments for self-assessment. There will also be an optional certification exam at the end of the term for candidates who want to receive the e-certificate.

8 Weeks

₹ Free

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Skills Covered:

Knowledge of engineering

Offered by

IIT Kanpur via Swayam +1

Certificate

Solar Photovoltaics: Principles, Technologies and Materials

The Solar Photovoltaics: Principles, Technologies and Materials online programme is curated by IIT Kanpur. It is an elective course which runs for a duration of eight weeks. It is designed for both UG and PG level students and falls under the category of Electronic materials, Metallurgy and Material sciences and Mining engineering. This programme is an FDP course approved by AICTE.

The aim of the Solar Photovoltaics training by Swayam is to introduce the candidates to the different photovoltaic materials and their role and functioning in solar cells' operation. Other important topics such as semiconducting materials, semiconductor junctions and their basic properties will also be discussed. This programme will also focus on first, second and third-generation solar cells and photovoltaic devices' essential characteristics.

The Solar Photovoltaics certification programme is taught online and rife with study materials and video tutorials. Candidates will be able to access all course material free of cost and at their own pace. They can also apply for certification and appear for the proctored exam at the end of the term.

8 Weeks

₹ Free

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Skills Covered:

Knowledge of electronics

Offered by

IIT Kanpur via Swayam

Certificate

Calculus Of One Real Variable

The Calculus of One Real Variable programme is an undergraduate level training. Swayam offers 40 lectures divided into a course plan of eight weeks. The curriculum aims to familiarise students with the elementary and advanced aspects of the calculus of a single variable. Candidates will find several applications of this knowledge in engineering, economics, and science domain.

The Calculus of One Real Variable online programme provides all-encompassing learning content about functions like continuous functions, inverse functions, transcendental functions, and limits and derivatives of a function. Students will also master the intermediate value theorem, Rolle’s Theorem, Lagrange’s mean value theorem, and maximum value theorem. Swayam also allows students to avail of the course free of cost.

Furthermore, Joydeep Dutta, who is presently a professor of Economics at IIT Kanpur’s Department of Humanities and Social Sciences, will teach you the course. Students from engineering, mathematics, economics, and science streams will benefit from the Calculus of One Real Variable certification training.

8 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kanpur via Swayam +1

Certificate

Calculus Of Several Real Variables

Pursuing Calculus of Several Real Variables programmes will help students who want to learn advanced Physics, Mathematics, Economics, Engineering, Business Management, Operations Research, and even Biology. The curriculum is divided into an 8-week plan. Jaydeep Dutta, a professor with the Department of Humanities and Social Sciences at Indian Institute of Technology (IIT) Kanpur, will be your programme instructor.

When it comes to multivariable calculus, the first issue is that of limits. And when you have a function in two variables, you are working with a plane instead of a line. There are infinite approaches to reach a given point on a plane, and the limits that you take must give you the same value through all of these countless approaches. That is what the Calculus of Several Real Variables course covers extensively.

The Calculus of Several Real Variables training also covers the basics of vectors, continuity, partial derivatives, multiple integrals, the Stokes theorem, Gauss divergence theorem, Green’s theorem, and Taylor’s theorem. The undergraduate-level course is entirely online. Students will receive accreditation from IIT Kanpur and National Programme on Technology Enhanced Learning (NPTEL) if they fulfil the certification eligibility criteria.

8 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Roorkee via Swayam

Certificate

Numerical Methods

The Numerical methods course by Swayam is one of the tremendous courses that has its application in engineering and science fields. This course contains basic mathematical concepts like differentiation, differential equations and integration. In the digital world, numerical computation plays an important role in solving logical operations. In most of these operations, it is difficult to obtain results in an analytical manner. The main objective of this course is to provide algorithms and numerical methods for solving problems.

Real life problems from Engineering and sciences are solved using linear and nonlinear equations. Apart from this, the course also covers matrix problems that are solved using eigenvalues and eigenvectors. It also covers concepts like Jacobi theorem, Interpolation, difference tables, difference operators, forward difference, backward difference, Newton’s divided difference interpolation and Lagrange interpolation.

The system for solving first and second order ordinary differential equations are taught through methods like Euler method, Modified Euler method, Milne PC method and Runge-Kutta method.

This programme helps the engineers to tackle various industrial and engineering related problems. Implementation of numerical methods to solve the problems will make the candidate a great problem solver with high accuracy in problem solving.

8 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kanpur via Swayam +1

Certificate

Basic Calculus 1 and 2

The Basic Calculus 1 and 2 online course offers a better understanding of the Calculus taught in classes 11 and 12. The course will explain in detail the methodologies of calculus. The topics such as differentiability, continuity of a function, and its applications will be discussed. The course will teach how to interpret a real number. The course will provide an understanding of the results. The series representation will be shown in the course curriculum.

The course is an online-based learning program. The course offers free access. The candidates who belong to disadvantaged groups of society will be benefitted. The course is offered on the NPTEL platform. The course will be accredited by the Indian Institute of Technology Kanpur. The course will be graded on the 6 best assignments out of 8 assignments and the final exam.

The Basic Calculus 1 and 2 certification is offered by NPTEL and can be e-verified. The certification is shareable on all platforms such as Linkedin, Facebook, Instagram, and many more. The certification will help gain new professional networks. This course is initiated by the government of India so the course certification is authentic and verifiable.

8 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Bombay via Swayam +1

Certificate

Basic Linear Algebra

The online certification program on Basic Linear Algebra by Swayam is formulated as a basic session for interested students who wish to pursue higher academic knowledge in the field of engineering studies. The candidates who want to pursue a higher education qualification in the field of mathematics can also register for the Basic Linear Algebra training.

The students in the Basic Linear Algebra certification syllabus will cover all the primary and basic tools that are used in the domain of “basic linear algebra”. The online session for a period of twelve weeks will be covering the topics namely- gram-Schmidt process, inner product spaces, rank-nullity, linear transformations, determinants, invertibility, rank, diagonalization, similarity, and applications. After completing the course, the Basic Linear Algebra certification benefits the students by clearing their doubts in the - Rn, rank of a matrix, linear independence, and subspaces. Students after completing the course the students will get to practice real-world cases.

8 Weeks

₹ Free

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Skills Covered:

Mathematical skill

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