Page 21 - Swayam Courses & Certifications 2025 - Free & Paid Online Swayam Courses

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

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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

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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

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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

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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

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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

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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

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

Certificate

Discrete Mathematics

Discrete Mathematics is known as the language of computer science. Learning discrete mathematics is going to be useful in many fields like data science, software engineering and machine learning.

In this course, students will be solving math puzzles with proofs and their explanations to understand the concept of Discrete Mathematics thoroughly. The concepts of discrete mathematics today are used in various ways to understand different scenarios and the problems in all branches of computer science, such as programming languages, automated theorem proving, software development, computer algorithms and cryptography.

Swayam Discrete Mathematics Course is designed in a way to make sure students learn the concept of discrete mathematics in a fun way so they can understand its applications easily.

Students don't need to have any prerequisites for this course, just a basic understanding of high school level algebra and arithmetic is required.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

MESCE Kuttippuram via Swayam

Certificate

Mathematical Analysis

Mathematics is a subject that plays a significant role in human life and existence and can solve many complex real-life problems. Mathematical concepts have the power to explain the mysteries and complexities of the universe. The Mathematical Analysis online course is an attempt to provide a thorough understanding of some complex mathematical concepts to science stream students.

The Mathematical Analysis programme consists of 40 modules, tests and assignments and is a 10-week- long core course. This is a comprehensive course provided by Swayam in association with MES College of Engineering Kuttippuram of Kerala. Over the course of 10 weeks, you will learn some basic and some complex mathematical concepts which will prove most useful for students pursuing B.Sc in Maths degree from any university.

12 Weeks

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam

Certificate

Applied Linear Algebra

The Applied Linear Algebra online course introduces the fundamentals of eigenspaces, inner products, vector spaces, and linear transformations to electrical engineering aspirants. This program encompasses all the core learnings to help candidates master these concepts and progress to the further applied for linear Algebra courses. The training falls under these categories - ‘Instrumentation and Control’, ‘Signal Processing and Communication’ and ‘Communications Engineering, Electrical, and Electronics’.

Spread across 12 weeks, the Applied Linear Algebra certification syllabus comprises vector spaces, eigenvalues’ applications, and positive operators. Candidates learn about solving linear equations, inner product spaces, normal operators, quotient space, and other critical learning areas. Set in the postgraduate/undergraduate level, this curriculum is a core program, currently ongoing on Swayam.

The Applied Linear Algebra training also offers course certificates to eligible candidates, who register and clear Swayam’s program-end proctored test. Upon doing so, students will earn a digitally-verified certification with their credentials and institution logos, bearing testimony of their acquired knowledge in the concepts taught. The course also houses industry support from Artificial Intelligence, Communications, and Analytics.

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

IMSc Chennai via Swayam

Certificate

Algebra-II

The Algebra-II program is a 12-week course in algebraic equations and concepts. It is a continuation study with advanced concepts. Set at a postgraduate level of study, one learning module is assigned per week. Students can previously complete the first course and proceed to cover advanced topics of the second course.

Based on mathematics, the Algebra-II certification syllabus covers core topics in algebra such as multilinear equations, tensor products, extensions, and fields. Candidates will also learn about Galois, Krull-Schmidt, and Jordan-Holder’s theorem in algebra. Learners can choose to attend a proctored exam by paying a nominal fee.

The Algebra-II online course is instructed by the faculty of the Institute of Mathematical Sciences, Chennai. Prof. Amritanshu Prasad and Prof. S Viswanath from the institute are the mentors. Students need to secure minimum scores in the assignments and the proctored exam scheduled for the certificate. Additionally, the faculties specify references and books learners can follow while studying.

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

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