NPTEL Courses & Certifications 2026

Offered by

IIT Kanpur via Swayam +1

Certificate

Principles of Communication Systems - I

12 Months

₹ Free

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Offered by

IIT Roorkee via Swayam +1

Certificate

Marketing Research and Analysis-II

Marketing Research and Analysis-II online programme is an extension of the Marketing research and analysis course. In the second part, emphasis will be laid on practical aspects and application for data analysis and research. To achieve that, the programme undertakes a step-by-step approach for researchers who have employed data analysis for thesis or publication work.

Through the Marketing Research and Analysis-II programme, industry professionals can experience how data analysis feels in real-time. It covers confusing topics like multivariate data analysis, which professionals and students find particularly challenging. Moreover, it also teaches research tools like various regression analysis techniques, univariate tests, factor and cluster analysis, and discriminant analysis.

For individuals looking for hands-on training, the Marketing Research and Analysis-II online training also provides training in platforms like AMOS and SPSS. The course also features a ton of video lectures, along with weekly assignments. Students can also earn a certificate after passing the final exam.

12 Weeks

₹ Free

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Skills Covered:

Marketing skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Marketing Analytics

Marketing Analytics online training combines storytelling and marketing concepts to provide a unique learning experience. Real-life marketing challenges are often solved in a sequence that employs quantitative techniques. This programme will help learners identify the sequence in the context of several marketing problems.

Marketing Analytics programme incorporates 30 hours of online lectures. These lectures will be helmed by Prof. Swagato Chatterjee, IIT Kharagpur. The lessons will provide in-class hands-on training in the R programming language. Moreover, learners will also be provided with reading material and can participate in Swayam’s discussion forum.

Weekly assignments are also a part of the Marketing Analytics programme by Swayam and help candidates test their knowledge in various marketing analytics areas. Students can also choose to appear for the final proctored exam, organised by Swayam and NPTEL at offline centres. Passing this test will allow learners to earn a course certificate, using which they can demonstrate their skills.

12 Weeks

₹ Free

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Skills Covered:

Marketing skills

Offered by

IIT Roorkee via Swayam +1

Certificate

Data Analytics with Python

Data Analytics with Python certification course includes many compelling examples of how you can analyse data using the Python programming language. This course discusses various data analytics applications in a range of industrial sectors. Moreover, this programme also shows you how you can use data analytics in your life and boost your career opportunities.

One of the Data Analytics with Python programme’s most essential aspects is that you will receive hands-on experience by creating your own analytical models. You can also clear any doubts or engage in academic conversations in the discussion forum, which is available to all the students related to data analytics, and python. This programme involves topics like regression, probability, distributions, hypothesis testing, and many more.

The Data Analytics with Python training is offered by Swayam in partnership with IIT Roorkee. This 12-week programme. You want to showcase your skills and earn new employment opportunities, you can opt for the course completion certificate offered by Swayam.

12 Weeks

₹ Free

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Skills Covered:

Statistical skills Data science knowledge Knowledge of Python

Offered by

IIT Kanpur via Swayam +1

Certificate

Data Analysis and Decision Making – I

The Data Analysis and Decision Making – I certification course offered by Swayam, is the first part of the three-part course (DADM-I, DADM-II, DADM-III). This programme covers Operations research and its tools with applications. For an overview, the Decision analysis and Decision making (DADM) covers three main areas which are: Operations research and its tools with applications, Multivariate statistical analysis with its applications, Other decision-making models like DEA, AHP, ANP, TOPSIS, etc. These 3 part DADM courses would be more application-oriented and practical rather than theoretical in nature. The candidates can expect industry support from the chemical industry, cement industry, steel industry, manufacturing industry, etc.

The Data Analysis and Decision Making – I Training, is an elective type of course. Which has a duration of 12 weeks. The course instructor will be Prof. Raghu Nandan Sengupta from IIT Kanpur. There is an e-certification provided to the participants, which can be accessed after registering and writing a proctored exam conducted by Swayam in person at any of the designated exam centers. This certification is intended for the learners belonging to backgrounds of Masters in Statistics/Mathematics, Masters in Operations Research/Operations Management, Masters in Business Administration, Masters in Economics, Ph.D. in related fields.

12 Weeks

₹ Free

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Skills Covered:

Operations analysis

Offered by

IIT Kanpur via Swayam +1

Certificate

Data Analysis & Decision Making - II

Data Analysis & Decision Making - II Certification will cover utility theory, then the concept of multi-criteria decision making, multi-attribute decision making, utility theory, DEA (Data Envelope Analysis), AHP, ANP, and then the concepts of TOPSIS, Elektra, Mac Beth.

Data Analysis & Decision Making - II Classes include the concepts of different types of metaheuristic techniques, without going into the mathematical details of their algorithms, and solve the problems by giving examples for each of them.

All students get a Data Analysis & Decision Making - II Certification by the Indian Institute of Technology Kanpur (IIT Kanpur) under the Swayam Initiative by the Government of India.

12 Weeks

₹ Free

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Skills Covered:

Decision making skills Data science knowledge

Offered by

IIT Kanpur via Swayam +1

Certificate

Essentials of Data Science with R Software - 1: Probability and Statistical Inference

The Essentials of Data Science with R Software- 1 program is the first course of the Data Science essentials series that focuses on studying statistical inferences and probability. It lays a foundational understanding of concepts and theories of data computation. Students will learn to use R software for statistics to derive correct inferences.

Students will explore concepts relating to Data Science computational inferences listed in the Essentials of Data Science with R Software- 1 certification syllabus. The curriculum studies attributes, hypotheses, probability distributions, and variables. Students will be asked to interact in the online classes and submit written assignments for scoring.

IIT Kanpur offers the Essentials of Data Science with R Software – 1 online course. Professor Shalabh from the institute mentors course learners. Students can go for an e-verifiable certificate by paying an exam fee. While students must have a mathematics background, an understanding of statistics is also preferred.

12 Weeks

₹ Free

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Skills Covered:

Statistical skills Data science knowledge

Offered by

IIT Kanpur via Swayam +1

Certificate

Essentials of Data Science with R Software- 2: Sampling Theory and Linear Regression Analysis

The Essentials of Data Science with R Software – 2 online course is a 12-week study that focuses on learning mechanisms of data analytics using R software. Some of the analytical tools studied include regression analysis and sampling theory. This course is an AICTE approved Faculty Development Program (FDP).

As a part of the Essentials of Data Science with R Software – 2 certification syllabus, learners will explore sampling and linear models with R software. Students will receive video lectures and book references additional support. With 12 learning modules, the topics covered include Bootstrap methodology, random sampling, and LASSO regression.

Developed by IIT Kanpur, Professor Shalabh mentors the Essentials of Data Science with R Software – 2 training. A renowned academician, Dr. Shalabh has authored four books and 75+ research papers. Candidates need to submit assignments and write an exam for the certification. For that, they will need to pay the necessary fee.

12 Weeks

₹ Free

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Skills Covered:

Data science knowledge

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Introduction to Database Systems

Numerous e-government solutions and digital services use database systems to organize data better. The Introduction to Database Systems certification by Swayam deep dives into financial systems and the current business models that rely on database systems for operational efficiency. It also covers how these systems have impacted management in the organization.

The Introduction to Database Systems certification syllabus touches upon key technical topics like SQL module, ER model module, a transaction processing module, regular forms module, query processing module, indexes module, and the like. Besides theory, the course also deep dives into practical principles, including the design and use of database systems. For the hands-on part, the course uses database management systems and SQL standards.

Furthermore, the Introduction to Database Systems online course is taught by an experienced faculty from IIT Madras, Prof. Sreenivasa Kumar. The course is excellent for students in the field of computer science, engineering, programming, and systems.

12 Weeks

₹ Free

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Skills Covered:

Database knowledge

Offered by

IIT Kanpur via Swayam +1

Certificate

Introduction to Robotics

The Introduction to Robotics program is developed by IIT Kanpur. It explores the concepts and mathematical calculations that go behind building robotic manipulators. This introductory course lays a foundation in advanced topics such as AI, automation, self-driving vehicles, and much more. Concepts studied include kinematics, VAL programming, automation, trajectory planning, and vectors.

The Introduction to Robotics certification syllabus uses video lectures, book references, a final assessment to facilitate learning. Learners must be familiar with mathematics, differential equations, and matrices- all on a fundamental level. This AICTE approved course is best suited for undergraduate and postgraduate-level electrical, mechanical, and computer students.

Engineering teachers and working professionals may also apply as this elective course is an FDP (Faculty Development Program). Candidates can opt for the Introduction to Robotics certification by securing the minimum marks as mentioned. For this, they need to complete the course, submit assignments, and write the final-term proctored test.

12 Weeks

₹ Free

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Skills Covered:

Automation skills Robotic skills

Offered by

IIT Ropar (IIT-RPR) via Swayam +1

Certificate

Deep learning

Over the past few years, Deep Learning has received a lot of attention due to its wide-ranging applications in data analytics, natural language processing, and computer vision. Many professionals who are well versed in deep learning technologies have been employed by leading companies like Google, IBM, Facebook, Microsoft, and Twitter. In this Deep learning – IIT Ropar online training, you will get familiar with the building blocks of deep learning algorithms and solutions.

The Deep Learning – IIT Ropar course syllabus places a particular emphasis on neural network topics like attention mechanisms, convolutional neural networks, feed-forward neural networks, and recurrent neural networks. Various deep learning optimisation algorithms such as Nesterov Accelerated Gradient Descent, Gradient descent, Adam, AdaGrad, and RMSProp are also covered. Learning these algorithms and methods will help effectively train deep neural networks.

After completing all the lectures and assignments of the Deep Learning – IIT Ropar programme, you’ll have a robust grasp of deep learning architectures, which you can employ to carry out various computer vision and Natural Language Processing tasks. You can also test your understanding by applying for the final proctored exam. Passing this test will also grant you a certificate by Swayam, which can be used to display your skills and get lucrative jobs.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of deep learning

Offered by

IIT Kharagpur via Swayam +1

Certificate

Deep Learning For Visual Computing

Deep Learning for Visual Computing course’s aim is to educate the student about the stratified recognition task. This is a free course that covers topics including visual computing, ResNet, PyTorch, Python, GoogleNet, and more.

Swayam Deep Learning for Visual Computing is an appropriate option for people who want to become deep learning scientists, get into research, computer vision engineer, AI research scientist, etc. Join this course to make a career as a software engineer, deep learning engineer, IT artificial intelligence intern, research scientist, computer scientist, etc.

The course type is ongoing and the length for this course is 12 weeks. There are no strict fee charges to enrol or study the Deep Learning for Visual Computing course, but for the certificate, the student needs to register and appear in an examination conducted in person at a chosen center. Regular assessments and one-on-one doubt clearing sessions are held by IIT-affiliated teachers.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of Python Knowledge of deep learning

Offered by

IIT Kharagpur via Swayam +1

Certificate

Deep Learning

The availability of massive amounts of image and video data on the internet has made data interpretation and analysis a challenging affair. However, deep learning has proved to be an excellent solution to such a mammoth task. Moreover, deep learning is not only applicable to data analysis but also computer vision and natural language processing tasks. This Deep Learning - IITKGP course will help you get familiar with the concept and its applications.

The Deep Learning - IITKGP course syllabus starts with traditional machine learning methods like multilayer perceptron and Bayesian classification. Towards the end, the course will discuss modern deep learning approaches like autoencoders and convolutional neural networks. After completion, you will have the knowledge and confidence to take on challenging, real-world problems related to data analysis and automation.

By opting for the Deep Learning - IITKGP certification course, you also get industry support from Adobe, TCS, Google, and DRDO. Moreover, the course’s scheduled nature also provides you with enough motivation to study the modules and complete the course. After every module, you can find challenging assignments, which help you gauge your understanding.

12 Weeks

₹ Free

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Skills Covered:

Knowledge of deep learning

Offered by

IIT Kharagpur via Swayam +1

Certificate

Six Sigma

The Six Sigma online course focuses on the operational and strategic issues observed in process development. Students will understand Six-sigma as a measure of quality that enables them to achieve perfection through disciplined and data-driven approaches in eliminating defects. The process proves beneficial in almost all the procedures involved in transactional, manufacturing, and services.

Spread over twelve weeks, the Six Sigma training throws light on the systematic approach of Define, Measure, Analyse, Improve, and Control (DMAIC) for improving processes. This online course will provide students with a detailed understanding of different issues concerning each phase of DMAIC. This training also includes real-time industry examples, cases, and MINITAB software applications to offer learners practical knowledge.

IIT Kharagpur has specifically designed the Six Sigma certification syllabus to align with the current industry standards. Thus, the course can equally satisfy both university students' and industry-experienced professionals’ needs. Students can also obtain accreditation for this AICTE approved FDP curriculum, built for postgraduate/undergraduate learners.

12 Weeks

₹ Free

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Skills Covered:

Project management

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Patent Law for Engineers and Scientists

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Knowledge of law

Offered by

IIT Roorkee via Swayam +1

Certificate

Global Marketing Management

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Marketing skills

Offered by

IIT Roorkee via Swayam +1

Certificate

Integrated Marketing Communication

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Marketing skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Management of Inventory Systems

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Supply Management

Offered by

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

Certificate

Discrete Mathematics

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Roorkee via Swayam +1

Certificate

Ordinary And Partial Differential Equations And Applications

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Roorkee via Swayam +1

Certificate

Numerical Linear Algebra

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Knowledge of MATLAB

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 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 Madras (IITM) via Swayam +1

Certificate

Basic Calculus – 1

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Introduction to Commutative Algebra

The Introduction to Commutative Algebra program by Swayam is a twelve-week online course, designed for individuals who want to research areas such as algebraic geometry, commutative algebra, algebraic number theory, etc. It is an AICTE approved FDP curriculum, intended for postgraduate-level students.

Curated by IIT Madras, the Introduction to Commutative Algebra certification syllabus covers crucial topics such as ring homomorphism, prime and maximal ideals, Jacobson radical, module homomorphisms, submodules, and tensor product of modules. The exact properties of the tensor product and Noetherian rings are also a part of this comprehensive course. The Institute’s Professor A. V. Jayanthan will teach this course.

Moreover, the Introduction to Commutative Algebra training requires learners to have the necessary knowledge of linear algebra, basic ring theory, and group theory. Students will receive assignments and study through Swayam’s video lectures during the course. In the end, learners need to pass the final exam and meet all the certifying criteria to obtain their course certificates.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Combinatorics

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Knowledge of Algorithms

Offered by

IIT Bombay via Swayam +1

Certificate

Basic Real Analysis

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Bombay via Swayam +1

Certificate

Optimization From Fundamentals

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Programming skills

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