675 Courses and Certifications

Free Teaching And Academics Courses & Certifications

Career Category
Specialization
Job Role
Skills
Fish and Fisheries

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Certificate

Fish and Fisheries

The Fish and Fisheries certification syllabus is structured to cover the essential and fundamental aspects of fish biology and provide comprehensive knowledge in both the marine ecosystem and freshwater ecosystem. The course also dives deep into providing the applications knowledge about the behavior of the fish and helps the students to formulate the taxonomic positions and understand the physiology of - marine fisheries and inland fisheries. 

The online program on Fish and Fisheries by Swayam also covers the modern-day concerns that are related to this industry such as- the reasons behind the deletion of fishes and the reasons behind fish diseases. The twelve-week course also lays the foundation and provides all the basic knowledge that will help the students proceed further with research in the same field. The certification course will thus be making all the necessary provisions for the applicant to study the mechanism of induced breeding management and formulate strategies that will help in the preservation and protection of fish culture.

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12 Weeks
Free
Skills Covered:
Knowledge of ecosystem
Certificate

NBA Accreditation and Teaching - Learning in Engineering (NATE)

The NBA Accreditation And Teaching - Learning In Engineering (NATE) training provide a postgraduate level of programme. The programme covers topics related to the NBA's guidelines regarding accreditation and teaching in the field of engineering. The course includes topics like OBE and accreditation, course designs and outcomes, surveys, etc. The course is designed for aspiring engineering faculty.  It includes 12 different chapters that will be dealt with over a time period of 3 months. The NBA Accreditation And Teaching - Learning In Engineering (NATE) certification syllabus will be taught by two different professors who are faculty members of IISc and MSRIT, Bangalore.

The course is provided by IISc, Bangalore and an e-certificate will be provided to the students if they choose to qualify for the proctored exam which will be conducted at the end of the programme. The course will be provided with study material. The NBA Accreditation And Teaching - Learning In Engineering (NATE) certification course is completely a free online learning experience which can be pursued according to the schedule of the student. Candidates are free to take time to decide about joining the course since there is no last date to apply for the course. Students can join the NBA Accreditation And Teaching - Learning In Engineering (NATE) programme as per their requirements. 

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12 Weeks
Free
Skills Covered:
Teaching skills
BES 121 Childhood and Growing Up

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Certificate

BES-121: Childhood and Growing Up

The aim of this certificate course in BES-121: Childhood and Growing Up is to develop an understanding of children of different age groups with the main focus to enable the students undertaking this course to grasp the different socio-political realities that construct different childhoods, such as the children’s lived-in contexts of family, school, neighbourhood, and community. By having an interdisciplinary framework, this 12 week course includes contributions from cross-cultural psychology, sociology, and anthropology related to child development and childhood. 

Hence, put in a nutshell child development, childhood, and adolescence are viewed in different socioeconomic and cultural settings. Even Though science has opened up and solved some of these mysteries yet there are some that are left untouched. BES-121: Childhood and Growing Up Classes go through this growing up pattern as,  if you take the universal pattern of development in man, you will be surprised by its systematic and methodical way of occurring. 

All students after carrying out the required projects and assignments get a BES-121: Childhood and Growing Up Certificate from the IGNOU (Indira Gandhi National Open University) New Delhi.

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12 Weeks
Free
Concepts of Thermodynamics

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Certificate

Concepts of Thermodynamics

Thermodynamics today has emerged practically as one of the most important branches of physics as it deals with the conversion of energy into heat and is the solution to various engineering problems. It was originally introduced during the 19th century when the  Industrial Revolution was at its peak, and today we can detect thermodynamics in engines, generating electricity, riding a bike, and even moving an aeroplane. 

Not just these, Thermodynamics today is part of major industries like iron and steel, power generation, food processing, air conditioning, refrigerators. Swayam Concepts of Thermodynamics Certification Course is designed to make learners understand the concept of how heat and work interact for various systems. 

It contains audio-visual themed material through which students can thoroughly understand the concepts of thermodynamics. This also comes with practice tests so students can keep track of their progress. 

The best part of this course is the online forum created where students can clear their doubts from the top-notch faculty members. The course is intended for b.tech undergraduates and teachers of undergraduate thermodynamics. 

This is an undergraduate level mechanical engineering course. This course is made to make sure students learn and also get the best possible practical knowledge to understand the concepts and application of thermodynamics.

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12 Weeks
Free
Skills Covered:
Knowledge of physics
Thermodynamics-1

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Certificate

Thermodynamics

The Thermodynamics engineering course at edX is designed to teach basic concepts of thermodynamics to mechanical engineering students or learners who are curious about the topic. It will acquaint you with important ideas and terms related to thermodynamics along with their precise definitions. You will also study the properties of materials and derive several practical relations.

The edX Thermodynamics online course focuses on problem-solving as you will have to spend substantial effort on solving assignments. You will learn the three laws of thermodynamics – first, zeroth, and second law, thoroughly. You will explore topics such as work interaction and equations of state in detail.

Furthermore, you will learn energy transfer according to the classification of heat type and work type through the Thermodynamics program. The core concepts at the heart of thermodynamics, namely heat, entropy, and temperature are included in the course. Other topics covered include open thermodynamic systems, properties of liquids and gases, and relations between properties. It is a program developed by IIT Bombay and has a self-directed learning model.

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12 Weeks
Intermediate
Free
Skills Covered:
Knowledge of engineering
Advanced Chemical Thermodynamics and Kinetics

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Certificate

Advanced Chemical Thermodynamics and Kinetics

Advanced Chemical Thermodynamics and Kinetics programme is an online course by Swayam, which is taught by Prof Arijit Kumar De from IISER Mohali for a period of twelve weeks. The course will involve online lectures, assignments, and a final exam.  

Advanced Chemical Thermodynamics and Kinetics certification course will cover a wide range of topics in macroscopic and statistical thermodynamics and kinetics. It will explain a number of physicochemical phenomena. As it is not a beginner level course, candidates who want to enrol in the programme are encouraged to gain a basic level understanding of thermodynamics. 

Advanced Chemical Thermodynamics and Kinetics provides a list of books and references which can be used to follow the course material better. While every other part of the course is online, the final exam will be held at various pre-designated centres in different cities for the participants’ convenience.

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12 Weeks
Free
Skills Covered:
Knowledge of Chemistry
Basic Thermodynamics Classical and Statistical Approaches

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Certificate

Basic Thermodynamics: Classical and Statistical Approaches

The Basic thermodynamics: Classical and Statistical Approaches certification course will be helping the candidates to learn everything about quantum mechanics. This topic mostly covers everything about entropy, and when we talk about thermodynamics it is all about entropy. The main objective of this thermodynamics course is to demystification the enigma of entropy. 

The course will help candidates have strong learning which can be implemented in the labs as well. Thermochemistry is one such area where candidates find it difficult to learn, the experts have given this topic special empathetic and will be helping out the candidates.

The Basic thermodynamics: Classical and Statistical Approaches training also has an add-on benefit of the certificate. The certificate will be given to the candidates who clear the end term exam with a 75% of score. The experts taking the sessions have good knowledge and are experienced in this particular domain. Discussion forums are present in every module so that the candidates can clear out their doubts.

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12 Weeks
Free
Skills Covered:
Knowledge of Chemistry
Thermodynamics for Biological Systems Classical and Statistical Aspect

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Certificate

Thermodynamics for Biological Systems: Classical and Statistical Aspect

Thermodynamics for Biological Systems: Classical and Statistical Aspect certification course offers the aspirants firm learning on the different relevant principles of thermodynamics. The different principles, properties, and differences in this thermodynamics have been illustrated with relevant examples.

The topics have been jotted down keeping in view of all the latest demands and topics under this field. The candidates can enjoy the learning any time during the course, as they will be able to access the materials throughout the time when they have taken the course and understood it well.

The Thermodynamics for Biological Systems: Classical and Statistical Aspect certification syllabus will help candidates learn all the terminologies in a simpler way. The industry exposure for the students has been given the utmost importance by the experts. Modules have been designed with proper time break so that the candidates have enough time to have their hands on the different learning attributes.

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12 Weeks
Free
Skills Covered:
Knowledge of physics
Certificate

Using Python for Research

Using Python for Research certification course by edX is being offered to teach the learners how to use Python 3 for their research. This course aims to fill the gap between introductory and advanced courses in Python. Also, it has been designed in collaboration with the experienced faculty of Harvard University.

Participants of this course will be able to use their Python skills for their research work. Participants will first go through the basic concepts of Python 3 and then they shall learn about the tools and techniques such as NumPy and Scipy, which are used in research settings. The course also includes a new module about statistical learning using the sci-kit-learn library. This Using Python for Research training course is a blend of guided introduction and independent in-depth exploration. Participants will be trained in various Python skills using various case studies selected for their scientific breadth and their inclusion of different features of Python.

There are 2 modes of study - Audit and Verified Track that can be selected by the candidates to complete their studies. In the case of Audit tracks, the candidates will get a particular time limit in which they will have to learn the course materials but in the case of Verified tracks, the candidates will have an unlimited period in which they may complete the course.

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12 Weeks
Intermediate
Free
Skills Covered:
Knowledge of Python Knowledge of Numpy
Research Methodology

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Certificate

Research Methodology

The online course for the Research Methodology Certification lasts for 12 weeks. Although Swayam is chosen to serve as the course's instructor, IISER Kolkata creates and approves the course syllabus. The organization authorized to provide this course certificate are NPTEL and the Indian Institute of Science Education and Research, Kolkata.

Research Methodology training is a part of the multidisciplinary elective curriculum. This certification course is taught by Soumitro Banerjee.

The entire conceptual and methodological spectrum that is involved in doing successful research is covered in the course. This encompasses the philosophy of science, measurement of methodological challenges, developing and testing hypotheses, scientific communication, and ethical concerns in scientific practice. It offers a thorough plan that aids in keeping researchers on course and makes the procedure simple, efficient, and manageable. 

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12 Weeks
Free
Skills Covered:
Logical Reasoning
Libraries An Introduction

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Certificate

BLI-011: Libraries: An Introduction

The BLI-011: Libraries: An Introduction online course will help you to learn the concepts of libraries through the lens of society. It provides a deep dive into the types of libraries and the functions of libraries amongst us.

The online course gives a holistic perspective by giving us insights into how libraries can impact and benefit society. Though libraries have existed for long, it has evolved and changed to be more modern for the youth of today. Hence, the course also discusses the current landscape in detail.

The BLI-011: Libraries: An Introduction programme is tutored by Dr Archna Shukla, who has immense experience in libraries through research and professional experience. This will invoke new perspectives and ideas on enhancing the role of libraries efficiently.

The BLI-011: Libraries: An Introduction course is also beneficial for anyone who wants to understand what it entails to be a librarian. The course is also equipped with weekly quizzes to learn the course thoroughly and evaluate the improvement.

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12 Weeks
Free
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
Certificate

Linear Algebra

Linear algebra is a continuous form of maths as it allows us to model natural phenomena and understand the theory behind machine learning and deep learning. It is an integral subject in mathematics applied in engineering, science, and other mathematical areas like geometry and functional analysis. Linear Algebra by Swayam is an online program that emphasizes the crucial concepts of linear algebra and gives a thorough introduction to this foundational subject.

The Linear Algebra online course has been designed by the Kerala School of Mathematics expert faculty. The training falls under the domains of foundations of mathematics and algebra. It is spread over 12 weeks and is free to enroll for all learners. 

Furthermore, Linear Algebra training by Swayam will offer a certificate to students who finish the whole course, including assignments, and qualify for the exam. Students will learn through various examples and use their problem-solving skills to deal with many mathematical problems. No charges are applicable for enrollment.

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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
Probabilistic Methods in PDE

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Certificate

Probabilistic Methods in PDE

Probabilistic Methods in PDE by Swayam is designed by IISER Pune and verified by NPTEL. Professor Anindya Goswami instructs this ongoing elective program that spans 12 weeks. The course falls under the purview of Mathematics and is based on two books, namely: Semigroup Theory and Stochastic Calculus. Candidates seeking certificates can also acquire them by paying and registering for the proctored evaluation. 

The Probabilistic Methods in PDE certification syllabus introduces you to a potent research tool related to the differential equations theory. The curriculum aims to offer expertise on probability theory and PDE, considering the absence of extensive learning material on this topic. Young researchers who have to undergo time-consuming research with scattered references have easy access to the course’s compiled information, offering in-depth insights.

The Probabilistic Methods in PDE program is an advanced curriculum but is also ideal for mathematical finance, probability theory, PDE, or mathematical physics aspirants. The instructor will explain several complex theorems from the books mentioned above during the course lectures to facilitate a comprehensive approach towards the subject.

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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

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