629 Courses and Certifications

Free Teaching And Academics Courses & Certifications

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Communication Technologies in Education

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Certificate

Communication Technologies in Education

The Communication Technologies in Education course by Swayam provides knowledge to all participants on various communication technologies that are involved in educating an individual. Communication technologies are very important mainly in digital India as the new technologies help to lead our life in a comfortable manner. Therefore, it is necessary for all individuals to learn this course. This course begins with a description of basic models and media that are involved in communication. 

This course also speaks about different barriers to communication and provides solutions to communicate effectively. This course falls under the teacher education category. It provides a better understanding of data communication, network systems, internet tools, social networking sites, and recent trends in technologies in the communication field to the participants.  

It also provides details on concepts like e-learning, offline learning, and blended learning methodologies. Modern technologies like artificial intelligence and computer-aided learning are also taught by tutorials. This course concludes by revealing the role of CIET and NCERT in the development of technology. 

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15 Weeks
Free
Skills Covered:
Knowledge of IT industry
Certificate

E-assessment

Students today are more comfortable with e-learning platforms than the traditional ones. Recently, there has been tremendous growth in online learning among students. This provides the facility of anytime-anywhere learning for the students. In this trend of massive open online courses and integration of ICT in teaching and learning, there has been a demand for improvisation in the assessment. 

Nowadays, students are in need of an assessment model that suits not only traditional learning but also emerging learning settings such as online learning, blended learning, virtual learning, flipped classrooms, and technology-enabled learning. The teachers of this generation need to know how to plan, construct, and execute the assessments suitable to test a particular subject. They need to have a grip over the infrastructure facilities required for the assessment. 

Therefore, there is a need for such a course that would make the teacher skilled in these aspects, eligible to take e-assessments. This course offers subject expert videos, interviews with technical experts, reading materials, and question-answer forums to clarify doubts each week. It consists of 2 to 3 modules, 1 quiz, and an assignment along with one final assessment and assignment. 

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15 Weeks
Free
Skills Covered:
Knowledge of IT industry
Certificate

Early Childhood Care and Education (ECCE)

The brains of children grow at the most extraordinary speed when they are still in the first six years of their life. It draws experience from the environment, and the synaptic connections of their brain are made based on those experiences. Hence, it is important to provide such experiences to children that would help them lay a strong foundation as well as nurture the right qualities in them. 

This course of Early Childhood Care and Education (ECCE) offered by Swayam helps the interested candidates to explore these aspects with the help of different pedagogical methodologies such as designing portfolios, gaining experiences through thorough practice as an intern as well as assignments and discussions, that would help the candidates to become the best early childhood care, providers. 

Along with that, the candidates also make use of several study materials provided by Swayam such as the online Q&A forum, which not only solves their doubts but also inculcates higher-order thinking skills.

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15 Weeks
Free
Skills Covered:
Pedagogy skills
Online Refresher Course in Education

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CUSB via Swayam
Certificate

Online Refresher Course in Education

The Online Refresher Course in Education certification course is associated with the National Resource Centre for Education, Central University of South Bihar, Gaya. The course aims to bring a change to the existing practices in the education sector. Students who enrol into this course gain an understanding of descriptive research, fundamentals of samplings, central limit theorem, hypothesis, etc. 

The entire Online Refresher Course in Education certification syllabus takes forty hours and can be completed in fifteen weeks. The course can be availed at zero cost in the online mode. The programme is an AICTE approved FDP course available at the platform of Swayam. The provider allows the candidate to be a certified user of the Online Refresher Course in Education programme if they fulfil the eligibility criteria of the exam. 

The experts use different teaching methods in order to make the sessions more interactive and interesting for the students. The study material of the programme includes modern audio as well as video lectures, quizzes, assessments, discussions, etc. The Online Refresher Course in Education certification can be pursued through the self-paced method according to the students' preferences.

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15 Weeks
Free
Skills Covered:
Teaching skills
Society and Media

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Certificate

Society and Media

The Society and Media expert programme by Swayam will introduce you to the consequences of media on the societal structure. You will be able to identify the possibilities for developing the community through media, and the future challenges affecting it. Additionally, this course will help you understand the conflict arising between the dominant and alternative paradigms. 

The Society and Media certification course will foster an interdisciplinary understanding which will widen your perspective. Thus, you will develop an understanding of the contemporary trends emerging within the society and in the media. 

You will become a certified expert after you complete the Society and Media curriculum. The external and internal assessments will help make you certificate-worthy. Moreover, your training will be for 40 hours, spread over 15 weeks, so that you have enough time to grasp the concepts succinctly. 

The Society and Media certification course does not charge a registration fee, and any UG certificate holder can register. Candidates interested in social science research and social entrepreneurship can sign up for the course.

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15 Weeks
Free
Skills Covered:
Knowledge of Sociology

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Swiss Federal Institute of Technology Lausanne via Edx
Certificate

Water Quality and the Biogeochemical Engine

The Water Quality and the Biogeochemical Engine course by Edx is an introductory course to environmental sciences. This course imparts knowledge to the candidate in concepts like urban metabolism, soil formation, water quality, heavy metals, atmosphere, rainwater, photosynthesis, and anoxic environments. 

In this programme, the candidate would learn about various biotic and abiotic mechanisms that control the quality of water that is used for industrial and drinking purposes. This course also talks about the role of microorganisms and soil in the maintenance of biogeochemical cycles. Case studies and real-time examples are also provided for better understanding. This course also speaks about the breakdown of mountains to the soil from where the civilization began.

The certificate provided at the end of the course is signed by instructors and verified by the institution. The certificate adds value to the resume of the candidate and it can be shared on LinkedIn. By pursuing this course, the candidates would gain intelligence in the natural water treatment process, biogeochemical cycling, microbial metabolisms, and aquatic chemistry equilibrium. 

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14 Weeks
Free
Skills Covered:
Knowledge of Environmental Science

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Certificate

Interdisciplinary Teaching with Museum Objects

The Interdisciplinary Teaching with Museum object course is available on the platform of edX which is designed to introduce the course takers to different teaching modes and strategies that they can integrate into the real world. 

The course ensures practical and in-depth knowledge for the learners by implementing pre-recorded sessions from educators at the National Museum of American History, the National Museum of African American History and Culture, the Smithsonian American Art Museum, the National Portrait Gallery and the Smithsonian Centre for learning and digital access. The candidates will get a chance to observe different teaching ways by using objects from the museums and art objects which they can use to make students learning more effective and innovative. 

During the programme the learners will also become familiar with the usage of the Smithsonian learning lab. This 14-week programme is very suitable for teachers, especially those having subjective knowledge of humanities. On completion of the course, the verified candidates will receive a certificate that will benefit them professionally. The course can be learnt in a self-paced mode but in the Audit Track, the candidates will have only a limited period to finish off the course whereas they can have unlimited access during the Verified Track.

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14 Weeks
Beginner
Free
Skills Covered:
Knowledge of history
Mastery of Math for Middle School-Decimals

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Certificate

Mastery of Math for Middle School - Decimals

The Mastery of Math for Middle School - Decimals Online Course is a specialized course aimed at teaching professionals and aspiring teachers who wish to learn about innovative approaches to solve mathematical operations. The course offered by subject experts explores different strategies to solve mathematical problems involving decimals.

Through the Mastery of Math for Middle School - Decimals Training, learners will be introduced to new methods and strategies of solving maths questions through e-learning content and videos. After completing all course assessments steps, learners will receive a Mastery of Math for Middle School - Decimals Certification by TCS iON.

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13 Weeks
Free
Skills Covered:
Mathematical skill
Mastery of Middle School Mathematics-Number Operations

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Certificate

Mastery of Middle School Mathematics - Number Operations

The Mastery of Middle School Mathematics - Number Operations Training Course is a self-paced certificate course that both experienced school teachers and freshers who wish to gain in-depth knowledge of number operations. The course is offered in an online format and the e-learning content provides learners with specialized strategies of teaching and learning numbers and number operations.

After completing the course steps including all module assignments and assessments, learners will be receiving a Mastery of Middle School Mathematics - Number Operations Certification by TCS iON. The course is provided completely free of cost in English medium. It can be completed within a duration of 13 weeks.

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13 Weeks
Free
Skills Covered:
Mathematical skill
Calculus 1C Coordinate Systems and Infinite Series

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Certificate

Calculus 1C: Coordinate Systems & Infinite Series

13 Weeks
Intermediate
Free
The Finite Element Method for Problems in Physics

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Certificate

The Finite Element Method for Problems in Physics

This Certification programme has been crafted by experts from the University of Michigan to lay extraordinary focus on formulations of Finite Element Method, which has multi-dimensional applications. The course material corresponds to introductory graduate learning with occasional references to variational calculus and functional analysis. The main aim of the course comprises the transformation of the learner from an amateur to a competent developer of Finite Element code. The course also stresses upon the mathematical basis for finite learning methods.

Candidates will discover detailed learning of Linear Algebra and classical forms of PDEs. Every module would find a brief overview of the physical phenomena of Partial Differential Equations. This course prioritises clarity with each concept and thus proceeds to advanced stages like three-dimensional problems in vectors from basics like elliptic PDEs in one dimension. Parabolic Partial Differential Equations in three dimensions follows later, along with hyperbolic equations in three dimensions.

One of the most striking features of the course is query redressal mingled in the lecture videos itself. Responses therein are related to questions put up by graduates and post-doctoral scholars who attended the live lectures. Another unique feature is the casual reference to the code framework through mathematical development.

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13 Weeks
Intermediate
Free
Skills Covered:
C++ Programming skills
Certificate

Foundations of Mathematical Statistics

The Foundations of Mathematical Statistics certification course makes provision for the students to work on the aspects of mathematics and its related application in a professional way and as per industrial standards. The Foundations of Mathematical Statistics syllabus are inevitable for any applicants who want to get their foundation strengthened in statistical concepts.  

The content of the course starts with the rudimentary meaning and the scope of statics and goes on to cover topics like- diagrams, tabulations, correlation, graphs, central tendency, kurtosis, dispersion, regression, skewness, probability, and others in an elaborate and detailed manner. Foundations of Mathematical Statistics by Swayam serves as a foundation course for all the students who want to secure a career in the genre of statistics and its related subjects. The course will help the students learn about the random variable and its applications and also make the students aware of the data collection methods.

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13 Weeks
Free
Skills Covered:
Statistical skills
The Chemistry of Life

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Certificate

The Chemistry of Life

The Chemistry of Life course has been systematically planned in order to develop creative approaches within the candidates. The confluence of knowledge from multi-disciplinary fields empowers the candidates with the valuable skill to generate new ideas in the intersection of various science fields. 

Through the Chemistry of Life course, candidates get to understand the integration of biology and chemistry. Through detailed pioneering studies, they also get to analyse and reflect on how to control biological processes and events through chemical means. Detailed and pattern proof idea generation techniques, enlisted as a part of the course, give candidates a head-start with their research. Skills such as idea generation, drastically increase after the completion of the course.

As a part of the course, candidates get to learn almost everything that is required for an effective & meaningful idea generation in the field of chemistry and biology. Very broad multi-disciplinary knowledge such as about fluorescent molecules and proteins for tracking in biology to ideas helpful to fight against cancer and viruses, ideas for fooling fats and sugars, helps candidates develop a pattern proof idea. The mentioned techniques are useful in generating other aspects of life as well.

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13 Weeks
Beginner
Free
Skills Covered:
Knowledge of Chemistry
Indian Poetics

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Certificate

Indian Poetics

The National Education Policy 2020's goal is reflected in the design of the Indian Poetics Certification. The experience that is sparked in the aesthete is the subject of Indian literary works, and various Indian schools of philosophy have examined this experience from various angles.

Sanskrit, Tamil, and modern Indian poetry's individual components, as well as their historical significance, are covered in Indian Poetics Classes consisting of its concept and definition. 

The Indian Poetics Certification Syllabus covers the three arts, poetry, music and architecture which were believed to present the absolute, ultimate truth conceived by the Indian philosophical thoughts.

All students get an Indian Poetics Certification by Dr. Babasaheb Ambedkar Open University (BAOU), Ahmedabad under the Swayam Initiative

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12 Weeks
Free
Certificate

Indian Writing in English-1

The goal of Indian Writing in English-1 Certification, which has assembled a variety of genres including the novel, short stories, and poetry, is to introduce students to a broad range of Indian Writing in English. Reading for pleasure and understanding the human condition go hand in hand while studying literature. 

The several stages of the creation of the Indian English novel will be covered in Indian Writing in English-1 Classes, along with an outline of the novel's evolution. The Indian Writing in English-1 Certification Syllabus will also include a brief overview of the lives and contributions of the key developers.

All students get an Indian Writing in English-1 Certification by The English and Foreign Languages University (TEFLU) under the Swayam Initiative by the Government of India. 

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12 Weeks
Free
Environmental Impact Assessment for Environmental Health

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Certificate

MEVE-001: Environmental Impact Assessment for Environmental Health

The  Environmental Impact Assessment for Environmental Health course is 12 week-long that analyses the impacts of every human activity that is affecting the course of nature and the environment. The course points at the crucial need for environmental impact assessment to calculate the extent of harmful effects caused by various developmental activities of humans.

The Environmental Impact Assessment for Environmental Health Certification Course offered by Swayam attempts to explain in detail the environmental impact assessment tool and its role in building up a stable and sustainable environment. The course puts forward the major challenges to sustainable environmental systems and the ways to tackle them.

The  Environmental Impact Assessment for Environmental Health online course is a massive open online course coordinated by Prof. B. Rupini and Dr. Sushmitha Baskar of the Indira Gandhi National Open University. The 4 credit course is taught over a period of 12 weeks through expert lectures. The course will be of great help to students who are focusing their careers in environmental sciences.

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12 Weeks
Free
Skills Covered:
Knowledge of Environmental Science
Real Analysis I

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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. 

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12 Weeks
Free
Skills Covered:
Mathematical skill
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.

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12 Weeks
Free
Skills Covered:
Mathematical skill
Applied Linear Algebra

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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. 

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12 Weeks
Free
Skills Covered:
Mathematical skill
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
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
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
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
An Introduction to Smooth Manifolds

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Certificate

An Introduction to Smooth Manifolds

An introduction to Smooth Manifolds course by SWAYAM is spread over 12-weeks and falls under Mathematics. This elective course introduces learners to the fundamental concepts of the smooth manifold theory. It is a Faculty Development Programme (FDP) approved by the AICTE.

In addition to online video lectures, this course also includes books and references. Moreover, An Introduction to Smooth Manifold's certification syllabus is curated by the Indian Institute of Science, Bangalore. The curriculum comprehensively touches upon Stokes theory, orientation, submanifolds, topology, Frobenius theory, and much more. It splits into 12 learning modules, scheduled for every week.

Professor. Harish Seshadri from IISc Bangalore instructs the An Introduction to Smooth Manifold's online course. Students can choose to verify the skills acquired in this course with a certificate. For that, they need to pay the necessary certification fee. Ph.D. and Masters's students in Information theory, Robotics, Mathematics, Physics, Control theory, or Climate Sciences can enrol in this certification course. 

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12 Weeks
Free
Skills Covered:
Mathematical skill
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
Introduction to Algebraic Geometry and Commutative Algebra

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Certificate

Introduction to Algebraic Geometry and Commutative Algebra

The Introduction To Algebraic Geometry And Commutative Algebra certification is an online program that does not require any fees to be paid by the students to be a part of the program. Candidates who pursue this course will get an understanding of topics related to algebraic geometry such as rings and ideals, theorems, topology, etc. The Introduction To Algebraic Geometry And Commutative Algebra training can be joined by graduates as well as postgraduate students since this is not only a beginner level of the program but includes topics from advanced level too. The course is being offered to the students by the Indian Institute of Science through the platform of Swayam that provides a thorough online and self-paced program to all the participants.

The certificate for the course can also be obtained by a participant when the candidate has completely covered the whole Introduction To Algebraic Geometry And Commutative Algebra certification syllabus along with assignments or assessment included in the course. The certification for the program comes at a cost along with an offline exam which needs to be given according to the terms and conditions of the provider of the course. The course needs only a time period of up to 3 months to cover it entirely but in case the candidate wants to go for a longer period of time, he can do so without having to pay any extra amount due to the course being a self-paced Introduction To Algebraic Geometry And Commutative Algebra program.

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12 Weeks
Free
Skills Covered:
Mathematical skill
Introduction to Algebraic Topology Part-I

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Certificate

Introduction to Algebraic Topology Part-I

The Introduction To Algebraic Topology (Part-I) Certification course is a master's level program and requires fundamental knowledge in the field of point-set topology and group theory. The course also touches upon the modern aspects of mathematics. The course will be offered to the candidates by IIT, Bombay and the syllabus of the Introduction To Algebraic Topology (Part-I) program is similar to the program of the National Centre for Mathematics. The course deals with different topics throughout the syllabus like path homotopy, convex geometry, covering spaces, and many more topics which gives a variety of knowledge to the students. 

The Introduction To Algebraic Topology (Part-I) certification syllabus of the course can be completed according to the pace of the candidate although the set timing for the completion of the training is 3 months. Candidates need not buy any external study material or notes as the course includes the full package of study material, assignments, tests, fonts clearing discussion platform, etc. The other benefits of the Introduction To Algebraic Topology (Part-I) by Swayam include a certification which will be provided to the students only if they acquire the passing grades in the exam and register for the same by paying the exam fees. 

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12 Weeks
Free
Skills Covered:
Mathematical skill
Integral and Vector Calculus

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Certificate

Integral and Vector Calculus

The online course on Integral and Vector Calculus by Swayam will be offering a detailed introduction to the topic of - integral and vector calculus.  The program will deal in a descriptive way with the concepts of- Riemann sum, partition, and Riemann Integrable functions and their applications as well as their properties. The online course will also discuss the fundamentals of- anti-derivatives. 

The online certification course will teach the students over the course of twelve weeks about the classical theorems of integral calculus that also includes the - fundamental theorem of integral calculus. The Integral and Vector Calculus online course curriculum includes the concepts of-  differentiability, gradient, divergence, directional derivative, and their geometrical interpretation and curl of vector functions in real-world functions. 

The important and fundamental topics of - theorems of vector calculus: Gauss’s, Green’s, and Stoke’s theorem will also be discussed in the course. To help the applicants understand in a more comprehensive manner the course has been structured as - core.

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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

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