1645 Courses and Certifications

Online Teaching And Academics Courses & Certifications

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The Finite Element Method for Problems in Physics

Offered by

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

Offered by

KU Leuven, Leuven via Edx
Certificate

Enhancing Catholic School Identity

Due to the increase in secularisation, detraditionalization, and pluralization, people are losing interest in the Catholic faith tradition. Realizing the fact, edX provides the Enhancing Catholic School Identity in association with KU Leuven which is one of the oldest universities in Europe. It is known for its high-quality, interactive, and innovative learning experience which is backed by deep research.

The course curriculum is developed by experts who provide the Catholic Dialogue School. It lets the students pay attention to the Catholic faith tradition and welcome different religions and cultures at the same time. It helps them to enhance theoretical and practical knowledge as well. This is a self-paced course where students can spend a quality amount of time on each topic and learn at their comfortable pace. This is a 13-week long course which is further divided into 8-10 hours per week. Learners can take the programme either in paid or free mode. In the free audit mode, they will be provided access to the course only for a limited duration. 

Based on the fact that edX is the most trusted source for learning courses, the Enhancing Catholic School Identity course is a rare course that teaches the students to not forget their roots and improve their Catholic Identity.

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13 Weeks
Intermediate
Skills Covered:
Knowledge of religion

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Certificate

Solar Power Plant Certification

The course Solar Power Plant Certification Course will train and certify the candidates in becoming Solar Power Plant Designers along with helping them towards becoming successful entrepreneurs. 

This course will help candidates develop and practice their new skills in the area of solar plant design and covers both MW scale Ground-mounted and KW scale rooftop solar plans from their basics. The course covers documentation, system design, net energy yield and cost estimation which is explained in detail by breaking long sessions into small sections.  

Modern software such as Pvsyst, G-Earth, Autocad and Sketchup used for designing projects is taught in this course along with sample calculations and major critical electrical equipment examples, which are demonstrated using pictures in a simple manner. The lectures are prepared using properly managed content with pictures, real-life examples, and tools arranged in a sequence so that the objective is unique.

The candidates will have to take tests and assessments after completion of each topic to self-evaluate and test their level of understanding. This course will also provide the candidates with placement assistance after completion of the course.

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90 Days
Expert
15,250
Skills Covered:
Knowledge of engineering
Agricultural Geography

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Certificate

Agricultural Geography

Agriculture as activity started 10,000 to 12,000 years ago when humans began to domesticate animals and grow plants for their subsistence. Before this, they were hunters and gatherers. Agriculture appeared simultaneously across the world through trial and error methods. Learn about the history of agriculture in Agricultural Geography Training.

The course on Agricultural Geography by Swayam provides the fundamental knowledge on various types of agricultural practices like horticulture, subsistence, specialised, commercial farming, etc. candidates will also undergo training and appear for various assessments throughout the course duration to test their knowledge.

The Agricultural Geography Certification Syllabus traces the history of agriculture from the Neolithic period to the present-day scenario. You will cover topics like the secondary, primary, tertiary, and quaternary activities conducted by man with a keen emphasis on agricultural marketing and statistics in India. Candidates will also learn about geographical tools used in developed nations like GIS, GPS and remote sensing.

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12 Weeks
Skills Covered:
Knowledge of Agricultural practices
Physical Geography-Climatology and Oceanography

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Certificate

Physical Geography-Climatology and Oceanography

Swayam’s Physical Geography-Climatology and Oceanography programme has a total of 30 modules. These modules are designed by keeping in mind the current industry practices and standards. Every week, you will learn three modules that will focus on three different topics. The Department of Geography at the University of Mysore, Mysore, is offering this programme over Swayam.

The Physical Geography-Climatology and Oceanography course will let you explore everything about the hydrosphere and atmosphere. This self-paced training enables you to juxtapose the two to draw conclusions and how it determines the climate. The course will also teach you the factors that impact pressure and temperature distribution. 

Additionally, the Physical Geography online programme by Swayam has interactive videos with background graphics for each topic. You will receive assignments, quizzes, summary, presentations, and other learning aids. For clarification of doubts, you can post your queries on the Swayam portal. Moreover, you will have the flexibility to learn according to your schedule and convenience.

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12 Weeks
Skills Covered:
Knowledge of Geography
Certificate

Biogeography

The certificate programme in Biogeography is a 12-week online course by Swayam, offered at the undergraduate level. Candidates can also pick this online programme as an elective. Moreover, Dr P.T. Bharathi instructs the online programme. She is the Principal Investigator and course coordinator for the Biogeography course under Massive Open Online Courses.

The Biogeography certification programme by Swayam will teach the candidates about flora and fauna of a region. Also, they will learn about the geographic factors that affect the natural inhabitants of an environment or surrounding, including world climate zones, type & distribution of forests, natural vegetation & ecosystem, among others. 

Furthermore, the online course has a vast and extensive curriculum which covers core topics like Darwin’s theory of evolution, along with other topics like human races, the relationship between man & environment, Glaciations cycles, and population & settlement.

Upon successful completion, candidates will acquire expertise in the world biomes. Also, a certificate in Biogeography by Swayam can lay a concrete base for a career in Biogeography. 

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12 Weeks
04 January 2026 - 29 April 2026
Free
Skills Covered:
Knowledge of Geography
Crystallography and Mineralogy

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Certificate

Crystallography and Mineralogy

The Crystallography and Mineralogy programme is an undergraduate level course that covers basic as well as advanced information related to the subject matter. The programme includes a lot of aspects related to geological science such as structures of minerals, crystallography, opticadl mineralogy, chemical mineralogy, etc. It contains fundamentals as well as descriptive concepts in regards to various topics. Candidates pursuing this course will also gain information on topics such as different types of crystals, forms of crystals, and different theories of crystallography, etc.

Students are expected to attend the Crystallography and Mineralogy certification in online mode. There are no restrictions regarding the timings of the course since it is a self paced course. Students can access the course according to their wishes. The duration of the course is 12 weeks and mentors provide the course materials on a weekly basis once the course starts. Candidates can attend the online sessions or download the sessions and use its printed format to gain information related to it. Candidates can also acquire certificates upon the successful completion of the Crystallography and Mineralogy training by paying the mentioned amount and appearing for the proctored exam.

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12 Weeks
Skills Covered:
Knowledge of Geology
Certificate

Graph Theory

The Graph Theory certification course is designed with a structure of 4 credits each containing 32 minor and major modules. All the evaluations will be done on the basis of guidelines as per the UGC structure. The curriculum of this particular course deals with certain fundamental principles in graph theory such as regular graph properties, eulerian graphs, orbital angular momentum graphs, contrapuntal graphs, graph lengths, planar bar charts, graph communication, and graph coloring. A few other graph algorithms have already been discussed. The Graph Theory certification is planned to fit the UGC syllabus. 

The modules will start from the base of the entire study and that’s the elementary understanding of 10+2 mathematics.  The training for the course will take place on the basis of understanding of the particular student and hereby every student will be focused for the entire duration. As a result of good completion of Graph Theory training, the learners will have a basic background in graph theory with extensive applications in the fields of, chemistry, physics, computer science, biology, sociology, and engineering. The student will learn different aspects of the graphical field and later they can implement in their respective field.

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12 Weeks
Skills Covered:
Mathematical skill
Information Sources and Library Services

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Certificate

BLII-013: Information Sources and Library Services

This 12-week diploma course in Information Sources and Library Services by Swayam will educate you about different information sources and their uses. The expert training programme will polish your ability to extract requisite information and employ it to derive the optimal results. 

Moreover, the Information Sources and Library Services training course will teach you about the uses of these information sources in the library. You will learn about providing library services based on these sources. Also, the online course will allow you to know about the relevance of circulation services, reference services, and awareness services.

Incidentally, the Information Sources and Library Services curriculum is robust and features six units replete with videos and reading material. This will help accentuate the learning experience and contribute to your specialisation. 

Moreover, Dr Archana Shukla will instruct the Information Sources and Library Services training programme, who is an expert in her profession with years of industry experience.

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12 Weeks
Free
Skills Covered:
Knowledge of Library and Information Science
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
Library Automation and Digitisation

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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.

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12 Weeks
Free
Skills Covered:
Knowledge of Library and Information Science
Library Information and Society

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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.

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12 Weeks
Free
Skills Covered:
Knowledge of Library and Information Science
ICT Fundamentals

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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.

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12 Weeks
Free
Skills Covered:
Technology skills Knowledge of computer networking Knowledge of IT industry
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
Brochure
Skills Covered:
Statistical skills
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
Certificate

Discrete Mathematics

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

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

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

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

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Certificate

Ordinary And Partial Differential Equations And Applications

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

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

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

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12 Weeks
Free
Brochure
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
Brochure
Skills Covered:
Mathematical skill Knowledge of MATLAB
Advanced Engineering Mathematics

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Certificate

Advanced Engineering Mathematics

The ‘Advanced Engineering Mathematics’ online course is a study about the analytical functions and applications of the various concepts and ideas that form the core of engineering mathematics. The National Program for Technology Enhanced Learning program (NPTEL) free online course is offered on the Swayam education platform for the undergraduate and postgraduate students of engineering and science.

The course curriculum is designed and provided by the Indian Institute of Technology Roorkee for twelve weeks. This certification course is a core course for undergraduate-level students. The course educator for this program is Dr. P. N. Agarwal from the department of mathematics at IIT Roorkee. The students of the ‘Advanced Engineering Mathematics online training program can earn three credit points. The candidates will also receive a course certificate that is e-verifiable with the authenticated logos of NPTEL and IIT Roorkee. The twelve weeks of training on the theoretical principles of the mathematical aspects of engineering and sciences enables the students to develop expertise in this domain.

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12 Weeks
Free
Skills Covered:
Mathematical skill Knowledge of engineering
Introduction to Queueing Theory

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Certificate

Introduction to Queueing Theory

12 Weeks
Free
Brochure
Advanced Partial Differential Equations

Offered by

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
Applied Linear Algebra

Offered by

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. 

...Read More
12 Weeks
Free
Skills Covered:
Mathematical skill
Basic Calculus-1

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Certificate

Basic Calculus – 1

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

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

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

...Read More
12 Weeks
18 January 2026 - 09 April 2026
Free
Brochure
Skills Covered:
Mathematical skill
Introduction to Commutative Algebra

Offered by

Certificate

Introduction to Commutative Algebra

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

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

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

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12 Weeks
Free
Skills Covered:
Mathematical skill
Combinatorics

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Certificate

Combinatorics

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

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

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

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

Offered by

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
Brochure
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. 

...Read More
12 Weeks
Free
Skills Covered:
Mathematical skill

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