Page 99 - Best Online Certification Courses - Eligibility, Fees, Duration, Career Options

Offered by

IGNOU via Swayam

Certificate

Library Automation and Digitisation

By making use of the latest technologies, this course of Library Automation and Digitisation by Swayam aims to improve the facilities and the services of libraries that exist today. This course will help the candidate in being well-versed with all the major concepts required to master the same.

Nowadays, the world is shifting more towards digital means. The use of print, paper and books are declining, and at the same time, the use of e-learning and e-books are steadily rising. At a time like this, a course which teaches the candidates the basics of library automation with reference to digitisation is very relevant in fetching jobs as librarians or even for personal convenience.

This course is an ongoing, core course. It belongs to the category of Library and Information Sciences. The duration of this course is 12 hours, and it is a diploma level course. With the help of an encouraging and guiding faculty, the candidates will master the concepts easily and apply for different posts where they find themselves eligible.

12 Weeks

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Skills Covered:

Knowledge of Library and Information Science

Offered by

IGNOU via Swayam

Certificate

BLI-221: Library Information and Society

The Library Information and Society Course is a 12-weeks long course provided by the Indira Gandhi National Open University. It is the first among the 9 courses constituting the Bachelor's Degree in Library and Information Science. The course will introduce candidates to the role of library and information in a society.

The Library Information and Society Online Course offered by Swayam and coordinated by Prof. Kunwar Singh discusses the core features of library science and information systems that play a definite role in shaping the world. This postgraduate-level course explains the basic functions of libraries and information networks along with their legislative framework.

The Library Information and Society Certification Course is spread over 14 units wherein the final sections give an overview of the professional nature of librarianship. The course will discuss various organizations involved in the progress of library and information services and thus aid candidates who are wishing to pursue a career in library science.

12 Weeks

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Skills Covered:

Knowledge of Library and Information Science

Offered by

IGNOU via Swayam

Certificate

BLI-224: ICT Fundamentals

The ICT Fundamentals Certification Course is a course that prepares candidates to pursue a career in Library and Information Science. The course provides knowledge about the basics of computer technology and communication technology that will aid in forging a bright career with professional gains.

The ICT Fundamentals Training Course is a 12-weeks long course that teaches candidates about the working of multimedia systems and network applications in the digital world. The course introduces the usage of Office Tools along with discussions on sections like word processing, presentation, and spreadsheets.

The ICT Fundamentals Online Course offered by Swayam teaches the fundamentals of information and communication technology in a detailed manner. The course is spread over 16 units offering 4 credits and is taught under the guidance of Prof. Uma Kanjilal, Professor of Library and Information Science, Indira Gandhi National Open University.

12 Weeks

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Skills Covered:

Technology skills Knowledge of computer networking Knowledge of IT industry

Offered by

IIT Roorkee via Swayam +1

Certificate

Global Marketing Management

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

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

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

12 Weeks

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Skills Covered:

Marketing skills

Offered by

IIT Roorkee via Swayam +1

Certificate

Integrated Marketing Communication

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

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

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

12 Weeks

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Skills Covered:

Marketing skills

Offered by

IIT Kharagpur via Swayam +1

Certificate

Management of Inventory Systems

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

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

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

12 Weeks

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Skills Covered:

Supply Management

Offered by

Central University of Punjab, Bathinda via Swayam

Certificate

Biostatistics and Mathematical Biology

The Biostatistics and Mathematical Biology course is designed to help candidates learn the fundamentals of mathematics that are required for biologists. It will help them learn the principles that govern the behaviour and systems in living beings. Further, the curriculum covers modern topics of biostatistics such as box-plots, Bayesian probability, statistical power, maximum likelihood, and the like.

Furthermore, the Swayam Biostatistics and Mathematical Biology programme cover essential topics of mathematical biology, which get covered rarely by universities. It includes permutation and combination, odds ratio, and relative risk, among others. Also, the award-winning tutor and science writer, Dr Felix Bast, teach this course.

Moreover, the Biostatistics and Mathematical Biology online course by Swayam is application-oriented. The programme is made interactive by the games and fun facts that are included in it. During the course, the emphasis is given to analysing data and strategic decision making about the right test to use during the right situation, which has become essential in solving the problems.

12 Weeks

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Skills Covered:

Mathematical skill

Offered by

IIT Kharagpur via Swayam

Certificate

Engineering Mathematics – I

This course is offered under NPTEL, funded by MoHRD, by IIT Kharagpur. It is aimed at teaching the basic mathematics that is essential in every stream of undergraduate studies in the categories of engineering and sciences. The course comprises topics in integral and differential calculus, linear algebra, and differential equations which students will be able to apply in a number of engineering problems.

This course will contain topics like Taylor's and Maclaurin's Theorems, Indeterminate Forms, Mean Value Theorems, etc. Partial derivatives, Taylor's development of functions of several variables, minima and maxima, and differentiability are also part of the course.

The course also teaches Leibnitz rule (differentiation under the integral sign), improper integrals, applications of multiple integrals and multiple integrals, their properties. Other topics incorporated in a series of 60 lectures over the course of 12 weeks, include Linear Equations’ Systems, Dimension and Basis of a Vector Space, Properties of a Matrix and its Rank, Vector Spaces.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Numerical Methods for Engineers

The Numerical Methods for Engineers course by Swayam is designed to give an overview of various numerical methods that are of great interest to scientists and engineers. This course focuses on the numerical techniques, its analysis and its properties. The theory behind numerical methods and applications of them are also discussed. Numerical methods are mainly used by computers to solve iterative and step-wise problems which are tedious to solve by hands.

This course covers concepts like curve fitting, interpolation, regression, linear systems and mathematical concepts like algebra, integration and differentiation. Various computational tools like FLUENT, Aspen, FORTRAN and MATLAB are used for teaching. Algebraic equations are solved using open and bracketing methods like Regula-Falsi, Bisection, Secant, Multivariate Newton’s method, Newton Raphson and Fixed point iteration.

The 12-week programme comprises weekly assignments and 2.5 hours of video tutorial every week. A discussion forum for clearing the doubts of the participants is also available. This course would greatly benefit the candidate to improve their problem solving ability.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Palakkad via Swayam +1

Certificate

Real Analysis I

The Real Analysis I programme by Swayam is a 12-week programme, available at the undergraduate level. The course instructor is Prof. Jaikrishnan J, who is an assistant professor at IIT Palakkad with expertise in Complex analysis.

The online Real Analysis I course aims to the students who want a deeper understanding of the subject calculus or for students who wish to pursue more complex subjects like Statistics, Computational Complexity, Theoretical Physics, among others.

Moreover, various top companies such as DeepMind, Microsoft Research, and Google, support the Real Analysis I certification programme. With a comprehensive curriculum, candidates will become familiar with the set theory and logic behind the real analysis, along with necessary computational functions.

While the online course is available to candidates free of cost, they must have studied mathematics up to class XII to enrol in Real Analysis I course. Moreover, if candidates want a certificate upon course completion, they need to pay for a certification exam and clear it.

12 Weeks

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Skills Covered:

Mathematical skill

Offered by

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

Certificate

Discrete Mathematics

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

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

MESCE Kuttippuram via Swayam

Certificate

Mathematical Analysis

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

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

12 Weeks

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam

Certificate

Applied Linear Algebra

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kanpur via Swayam +1

Certificate

Advanced Partial Differential Equations

The intention behind learning the Advanced Partial Differential Equations program is to understand the physical phenomenon occurring in nature. In this course, candidates will explore the basic ideas, inner workings, and characteristics of first-order equations. They will then progress to three fundamental second-order equations.

As mentioned before, the Advanced Partial Differential Equations certification syllabus will begin with the study of first-order equations such as the Burgers equation, entropy solutions, Reinmann problem, etc. After that, the course will explore the Laplace equation, Wave equation, and Heat equation in detail.

This course is an AICTE approved faculty development program. Individuals participating in the Advanced Partial Differential Equations Certification will go through a twelve-week process where they will learn through online lectures and weekly assignments under the guidance of Professor Kaushik Bal from IIT Kanpur. Participants of the course will be eligible to achieve a certificate by scoring well in assignments as well as a final offline exam.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kanpur via Swayam +1

Certificate

Applied Linear Algebra for Signal Processing, Data Analytics and Machine Learning

The Applied Linear Algebra for Signal Processing, Data Analytics and Machine Learning certification is offered by Swayam. The course will provide you with fundamental knowledge about the core concepts of Linear algebra. Linear algebra plays a significant role in a wide range of fields and has multiple applications, including data analysis, wireless communication, machine learning, finance and control, and signal processing.

The Applied Linear Algebra online programme is approved by AICTE and has been designed as an attempt to teach the cutting edge and diverse applications of linear algebra. If you are from the IT and engineering field, you will be interested in learning about the advanced concepts as they are extremely significant in multiple industries today. Thus, you can increase your knowledge and hiring prospects by enrolling on the course offered by Swayam in association with IIT Kanpur.

Besides, the Applied Linear Algebra certification will run for 12 weeks for free, and you can earn an e-certificate by taking a proctored exam. The training is a part of IIT Kanpur’s Faculty Development Programme (FDP). Apart from UG and PG students, practising scientists, engineers, and managers from various fields can purse the FDP.

12 Weeks

₹ Free

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Skills Covered:

Machine learning Data science knowledge Knowledge of Big Data

Offered by

IIT Delhi via Swayam +1

Certificate

Advanced Probability Theory

Advanced Probability Theory program is a core course in mathematics designed for undergraduate and postgraduate students who want to learn probability concepts from Kolmogorov’s Axioms. This financial industry-supported course will cover a variety of topics in 12 weeks.

Advanced Probability Theory certification will be conducted through a series of online lectures and regular assignments. Participants of the course can also appear for the final exam in person and gain a certificate upon passing all the criteria. The educator for this course is Professor Niladri Chatterjee from IIT Delhi.

Advanced Probability Theory will go through topics such as cumulative function distribution, probability density function and provide an introduction to the concept of a random variable. Participants will also learn about probability distributions, the function of one or two random variables, and the overview of order statistics. This is an AICTE approved program that also provides a list of books and references for the benefit of the participants.

12 Weeks

₹ Free

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Skills Covered:

Statistical skills

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Basic Calculus – 1

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IMSc Chennai via Swayam

Certificate

Algebra-II

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Bombay via Swayam +1

Certificate

Basic Real Analysis

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IISc Bangalore via Swayam

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.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIIT Bangalore via Swayam

Certificate

Discrete Mathematics

Discrete mathematics is a branch of mathematics and a language of Computer Science used in fields such as data science, software engineering and machine learning. This branch involves the usage of algebra and arithmetic and involves discrete elements. The Discrete Mathematics online course by Swayam intends to explore and explain the topic of discrete mathematics over the course of 12 weeks.

The Discrete Mathematics program will introduce you to various mathematical concepts and theories to help you solve problems and apply proof techniques. The programme endeavours to help you grasp some of the essential ideas in discrete mathematics. The IITB certification also features concepts such as Graph theory, Cardinality theory, Combinatorics, basic number theory, etc. in detail.

The Discrete Mathematics certification course is an undergraduate and postgraduate level course. It falls in the ‘Computer Science and Engineering’ and ‘Foundations of Computing’ categories. Designed by IIT Bangalore, the course has been approved by AICTE and offered by Swayam as a free online learning source.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

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

Certificate

Discrete Mathematics

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IISc Bangalore via Swayam

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.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Bombay via Swayam

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.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Kharagpur via Swayam +1

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.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Madras (IITM) via Swayam +1

Certificate

Introduction to Commutative Algebra

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IISc Bangalore via Swayam

Certificate

Measure Theory

The Online certification course on the Measure Theory by Swayam will be covering the key concepts and principles that are involved in integration and measure. The course will begin the training by introducing the candidates to the applications of- integration theory and the abstract measures along with their applications. In the next half of the online course, the trainers will be dealing with the theories that pertain to- the Lebesgue measure and its real-world applications.

The course will also provide the students with a detailed study of Borel measures on locally compact Hausdorff spaces. The Measure Theory certification syllabus will also comprehensively elaborate on the principles of- Lp spaces and product measures along with Fubini’s theorem. In the period of twelve weeks, the applicants will also be provided with the assignments on several classical results such as- the Ries representation theorem, the Radon-Nikodym theorem, and the Lebesgue differentiation theorem.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

Kerala School of Mathematics, Kozhikode via Swayam

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.

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Roorkee via Swayam +1

Certificate

Ordinary And Partial Differential Equations And Applications

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill

Offered by

IIT Roorkee via Swayam +1

Certificate

Numerical Linear Algebra

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

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

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

12 Weeks

₹ Free

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Skills Covered:

Mathematical skill Knowledge of MATLAB

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