1397 Courses and Certifications

NPTEL Courses & Certifications 2026

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Principles of Communication Systems - I

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Certificate

Principles of Communication Systems - I

12 Months
₹ Free
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Aspects Of Biochemical Engineering

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Certificate

Aspects Of Biochemical Engineering

Biochemical reaction engineering mostly deals with complicated life systems, when compared to chemical reaction engineering. The fundamental essence of biochemical engineering is to describe any life system’s behavior in mathematical form. The Aspects of Biochemical Engineering online course, in a real sense, is an interdisciplinary program since it involves topics from biology, physics, chemistry, technology, and mathematics.

The Aspects of Biochemical Engineering certification syllabus comprises topics like sophisticated advanced control systems and transport processes, along with physics, conventional biology, and mathematics. It also involves the production of biomolecules in two different ways: microbial cells or enzymes.

The Aspects of Biochemical Engineering certification course caters to all the aspects of the subject mentioned above. By undergoing this course, you will be able to differentiate between biochemical reaction engineering and conventional chemical reaction engineering. It also helps you develop the expertise needed to design biochemical processes that is an in-demand skill.

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12 Weeks
₹ Free
Skills Covered:
Knowledge of engineering
Blockchain and its Applications

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Certificate

Blockchain and its Applications

The Blockchain and its Applications certification course is offered using an online model by Swayam. The course is given complete support by the Indian Institute of Technology, Kharagpur, and NPTEL. The 2 professors Sandip Chakraborty, and Shamik Sural are in charge of teaching the programme.

The Blockchain and its Applications training course have been of recent interest amongst organisations that include enterprises, governments, and different academics as this provides a tamper-proof solution to establish an interconnection between the different stakeholders. This online training programme in blockchain provides different kinds of tutorials in the application of these techniques including Ethereum, and one permission.

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12 Weeks
₹ Free
Skills Covered:
Knowledge of Blockchain
Analog Communication

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Certificate

Analog Communication

In the Analog Communication course by Swayam, candidates will learn about the two building blocks of communication - Signals and Systems. They will understand how information is generated, how it can be transmitted to a distant user, and how the user interprets it. The information that needs to be transmitted and delivered to the user is known as a Signal.

Candidates will learn about different channels or media for transmission of signals. They will learn about the inherent imperfections of these media and how to combat and overcome them to facilitate effective communication. Also, they will learn about Noise, which is an unwanted, random signal that hinders communication.

Candidates participating in the Analog Communication programme will learn how to design systems that can filter out the noise and deliver effective communication. This is an undergraduate level programme created by IIT Kharagpur, and focuses on the engineering aspects of analog communication.

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12 Weeks
₹ Free
Skills Covered:
Knowledge of physics
Management Accounting

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Certificate

Management Accounting

The ‘Management Accounting’ online course is developed by the National Program for Technology Enhanced Learning (NPTEL) for the students to engage in discussions and gain valuable insights on the tools and techniques that ensure an improved decision-making process at the management level. This management studies certification course is provided by Swayam online education portal and the course modules and classes are designed to be completed in twelve weeks.

The course is conducted by sixty lectures, videos, and several other online exercises along with assessments done on a weekly basis. The program instructor is Dr. Anil K. Sharma, a finance and accounting professor from the department of management studies at the Indian Institute of Technology (IIT) Roorkee. The ‘Management Accounting’ online certification program enables students to gain a course certificate and credit points after successful completion of this core course. This program helps students gain a comprehensive understanding to gain an advantage over the competitive edge in the business market.

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12 Weeks
₹ Free
Skills Covered:
Financial knowledge Business Management Decision making skills Accounting proficiency Financial Management
An Introduction to Artificial Intelligence

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Certificate

An Introduction to Artificial Intelligence

An Introduction to Artificial Intelligence certification by IIT Delhi is an FDP-approved course that runs for 12-weeks. Based on AI and Data Science, this AICTE study has been developed by the Indian Institute of Technology, Delhi. Students can learn from the video lectures and references given by the mentor of the programme.

Students will learn various concepts, philosophies, and models that fall under the An Introduction to Artificial Intelligence certification course. Per week, one learning module is assigned for the duration of the course. It comprehensively touches on algorithms, reinforcement learning, decision processes, deep learning, artificial intelligence, and Data Science.

Prof. Mausam, Associate professor of Computer Sciences at IIT Delhi and available on Swayam, instructs the course. Candidates need to pay a fee to write the certification exam. For the An Introduction to Artificial Intelligence certification, learners need to secure an average score, which is ascertained through assignments and the written test. Students shall receive an e-certificate for fulfilling the requirements.

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12 Weeks
₹ Free
Skills Covered:
Knowledge of Algorithms Knowledge of deep learning
Artificial Intelligence Search Methods for Problem Solving

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Certificate

Artificial Intelligence Search Methods For Problem Solving

The Artificial Intelligence Search Methods For Problem Solving online course is a 12 weeks program offered by Swayam under the initiative of the Government of India. An autonomous agent should be capable of solving issues in order to behave intelligently. They should be capable of making decisions that change a given circumstance into a desired or target condition. To find the ones that work, the agent must be able to imagine the consequences of its actions. This first section of the Artificial Intelligence course covers a wide range of search strategies that agents may use to solve problems.

In the second section of the Artificial Intelligence Search Methods For Problem Solving training: Reasoning and Knowledge representation, candidates will learn how an agent may represent its domain and explain what it understands. The course provides a solid basis for artificial intelligence from which the student may develop their understanding. The third section of the Artificial Intelligence Search Methods For Problem Solving syllabus provides a somewhat different framework for problem-solving, wherein the reasoning processes and previously stated search can coexist.

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12 Weeks
₹ Free
Skills Covered:
Knowledge of Artificial Intelligence
Certificate

Computer Aided Applied Single Objective Optimization

The Computer-Aided Applied Single Objective Optimization program aims to focus on different topics so that students have ample knowledge on the subject line. The course tries to touch on mathematical as well as computational aspects related to the subjects. Candidates will gain information on regression, computational algorithms, genetic algorithms, a toolbox of high-level programming languages like MATLAB, etc. This is a professional-level program and can be pursued by students as well as professionals. The duration of the Computer-Aided Applied Single Objective Optimization certification syllabus is 12 weeks. 

This is a free online course and candidates are awarded certificates at the end of the course if they complete the requirement for the exam. Students will be provided with the study materials for this course by the creator on the platform. Along with the study material, candidates will also be given a discussion platform, assignments, and tasks to understand the modules properly. The Computer-Aided Applied Single Objective Optimization certification course is entirely an online program and is a self paced training so that students have ample time to learn about the subject from the platform. 

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12 Weeks
₹ Free
Skills Covered:
Knowledge of Algorithms
Introduction to Robotics

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Certificate

Introduction to robotics

The ‘Introduction to robotics’ online course is a study about the state-of-the-art technologies and techniques associated with designing robots and their applications. This National Program for Technology Enhanced Learning(NPTEL) free online course on robotics is provided on the Swayam online education platform. The online training is offered by the faculty of the Indian Institute of Technology Madras.

The program is conducted for twelve weeks and is a core course for the undergraduate and postgraduate level students of design engineering or robotics. The course instructors of this certification program are Dr. T Asokan from the department of engineering design, Prof. Balaraman Ravindran teaching computer science, and Dr. Krishna Vasudevan of the electrical engineering department. This AICTE approved faculty development program enables the students to receive three credits after completing the online training. The ‘Introduction to robotics’ e-certificate is issued to the qualified students with NPTEL and IIT Madras logos on it.

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12 Weeks
₹ Free
Skills Covered:
Robotic skills Automation skills Knowledge of Artificial Intelligence Knowledge of physics Knowledge of engineering Designing skills
Basics of Language Science

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Certificate

Basics Of Language Science

This Basics Of Language Science Online Course manages major parts of the language. In the course the candidate will develop an understanding connection between language, brain, and the general society that we reside in. The students will feel like they realize how to respond to a ton of inquiries regarding different complexities or various kinds of miracles about language.

This course assists the candidate with managing the three significant parts of language specifically, the construction at the degree of sounds, words, and sentences, securing or learning of it, and the varieties inside and among dialects. The Basics Of Language Science Programme offers answers to a large portion of the interests that strike major when we consider how we gained the limit of language as a child.

This course will guide the candidate in depth of language science. In the Basics Of Language Science Training candidate can also take up the course certificate by giving the exam which will be held after the course completion. The course timing is flexible and candidates can study according to their time preference and the course faculty will be professor Rajesh Kumar from IIT Madras for making understanding easy to candidates.

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12 Weeks
₹ Free
Skills Covered:
Language skills
Cloud Computing

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Certificate

Cloud Computing

The Cloud Computing training, curated by IIT Kharagpur, is an elective undergraduate-level course. The programme is based on the disciplines of computer science and engineering, programming, and systems. This is an twelve-week course, and lectures will be conducted online only.

The Cloud Computing certification course teaches about the delivery and scalable services consumption platform that offers computing provision for a shared pool of resources. These include database, storage, software, networking, servers, applications, and so on. 

This platform requires the least possible management effort by providing on-demand availability of a shared pool of configurable computing sources. Some of the aspects covered in the course are the fundamentals of cloud computing, security challenges, management problems, and future research possibilities. This is one of the best cloud computing courses taught by Swayam.

Cloud Computing online course by Swayam will work well with candidates who have a basic computer organisation background, networking, and architecture. Students of electronics and communication engineering, computer science and engineering, and electrical engineering will benefit from the cloud computing course.

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12 Weeks
₹ Free
Skills Covered:
Knowledge of cloud computing
MATLAB Programming for Numerical Computation

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Certificate

MATLAB Programming for Numerical Computation

The MATLAB Programming for Numerical Computation certification is an eight-week elective course. This multidisciplinary program falls under the disciplines of chemical engineering and computational biology. IIT Madras has thoroughly curated this curriculum, which their renowned professor, Niket Kaisare will teach.

The MATLAB Programming for Numerical Computation certification syllabus discusses one of the most popular languages used for numerical computation and teaches about its scientific computation usage. Candidates will learn about the practical use of computational techniques through several coding problems and examples. Enrolled candidates will have access to MATLAB online, which is a browser-based version of MATLAB and consists of all its features. 

The MATLAB Programming for Numerical Computation training will offer weekly assignments, course lectures, and practical problems using this MATLAB software. The curriculum focuses on teaching undergraduate students to solve computational problems and familiarising them with the engineering problem’s numerical methods. Besides, candidates can also opt for the final exam and gain the course-end digital certificate.

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12 Weeks
₹ Free
Brochure
Skills Covered:
Knowledge of MATLAB
Maternal Infant Young Child Nutrition

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Certificate

Maternal Infant Young Child Nutrition

Maternal Infant Young Child Nutrition is a free course on infant young child nutrition and takes on malnutrition which is one of the greatest challenges in India. The online course longs for 12 weeks and demands 2.5 hours of online sessions per week. Maternal Infant Young Child Nutrition Certification Course will cover malnutrition, nutrition science, newborn care, anthropometric assessment, maternal nutrition, techniques of breastfeeding, and the like. 

Maternal Infant Young Child Nutrition Certification is a joint venture of Swayam and  IIT Bombay. The course is approved by AICTE and can be enrolled by undergraduates and postgraduate-level learners. So far, more than 2,000 people have registered and taken the online program. Though the Maternal Infant Young Child Nutrition Certification by Swayam is free, the students will have to pay the fee and appear for the exam to get the certification.

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12 Weeks
₹ Free
Skills Covered:
Knowledge of nutrition
Immunology

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Certificate

Immunology

The Immunology course is an online course being offered by Swayam. Swayam is an initiative of the Government of India to provide education to students who do not have the required resources. It intends to provide the resources to bridge the digital gap between the students.  

This course by Swayam has been built to provide the learners with a broad introduction of the fundamentals of Immunology. Participants of the course will learn about various concepts of immunology starting from cells of the immune system, antibody structure and function, innate and adaptive immune systems, hypersensitivity, TCR rearrangement, humoral immunity, basic immunological techniques, autoimmunity, monoclonal antibodies and vaccine production. 

This course is a blend of the basics of immunology as well as the advanced topics. This course will be useful for undergraduate students of Life Science and Biotechnology and students from any branch of life science keen on gaining knowledge about immunology.

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12 Weeks
₹ Free
Skills Covered:
Knowledge of Microbiology
Global Marketing Management

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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.

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12 Weeks
₹ Free
Skills Covered:
Marketing skills
Integrated Marketing Communication

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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. 

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12 Weeks
₹ Free
Skills Covered:
Marketing skills
Management of Inventory Systems

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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.

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12 Weeks
₹ Free
Skills Covered:
Supply Management
Advanced Probability Theory

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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.

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12 Weeks
₹ Free
Skills Covered:
Statistical skills
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.

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12 Weeks
₹ Free
Skills Covered:
Mathematical skill
Ordinary and Partial Differential Equations and Applications

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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. 

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12 Weeks
₹ Free
Skills Covered:
Mathematical skill
Numerical Linear Algebra

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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.

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12 Weeks
₹ Free
Skills Covered:
Mathematical skill Knowledge of MATLAB
Advanced Partial Differential Equations

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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.

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12 Weeks
₹ Free
Skills Covered:
Mathematical skill
Applied Linear Algebra for Signal Processing, Data Analytics and Machine Learning

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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.

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12 Weeks
₹ Free
Skills Covered:
Machine learning Data science knowledge Knowledge of Big Data
Numerical Methods for Engineers

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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.

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12 Weeks
₹ Free
Skills Covered:
Mathematical skill
Basic Calculus-1

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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.

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12 Weeks
₹ Free
Skills Covered:
Mathematical skill
Introduction to Commutative Algebra

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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.

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12 Weeks
₹ Free
Skills Covered:
Mathematical skill
Combinatorics

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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.

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12 Weeks
₹ Free
Skills Covered:
Mathematical skill Knowledge of Algorithms
Basic Real Analysis

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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.

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12 Weeks
₹ Free
Skills Covered:
Mathematical skill
Optimization from Fundamentals

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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. 

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12 Weeks
₹ Free
Skills Covered:
Mathematical skill Programming skills
An introduction to Point Set Topology Part I

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Certificate

An introduction to Point-Set-Topology Part-I

An introduction to Point-Set-Topology Part-I certification by IIT Bombay via Swayam explores the definition of metric spaces and topological spaces. This is a 12-week online course that deals with topological aspects of metric spaces. An introduction to Point-Set-Topology Part-I certification course will expose students to three crucial theorems on complete metric spaces while providing them with the structure of completion of metric spaces. Through An introduction to Point-Set-Topology Part-I online course, students will get familiar with topological spaces, building new topologies from the old, Bases and subbases, I and II countability, connected and path connectedness, separability, and others.

An introduction to Point-Set-Topology Part-I certification syllabus discusses the meaningful study of analysis and further topology. In the end, the course gives outstanding results such as Urysohn’s lemma and Titze’s extension theorem and some applications. An introduction to Point-Set-Topology Part-I classes are backed up by a strong team of tutors solving all the queries. The classes also include several online interactive sessions.

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12 Weeks
₹ Free
Brochure
Skills Covered:
Knowledge of engineering

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