Free Mathematics Courses & Certifications

The online certification program on Basic Linear Algebra by Swayam is formulated as a basic session for interested students who wish to pursue higher academic knowledge in the field of engineering studies. The candidates who want to pursue a higher education qualification in the field of mathematics can also register for the Basic Linear Algebra training.  

The students in the Basic Linear Algebra certification syllabus will cover all the primary and basic tools that are used in the domain of “basic linear algebra”. The online session for a period of twelve weeks will be covering the topics namely- gram-Schmidt process, inner product spaces, rank-nullity, linear transformations, determinants, invertibility,  rank, diagonalization,  similarity, and applications. After completing the course, the Basic Linear Algebra certification benefits the students by clearing their doubts in the - Rn, rank of a matrix, linear independence, and subspaces. Students after completing the course the students will get to practice real-world cases.

Introduction to Rings and Fields certification course has been designed with the objective of covering the basics of the abstract rings and the subsequent fields. The course will also offer knowledge on the algebra sequence. Candidates will also be taught how to prove certain theorems in a simpler manner.

The course focuses on the prime, maximal ideas and the various other rings of the domain. The students will be exposed to the theory of field as well so that they grow more. Examples have been used more so that the candidates are able to relate the learning and remember it for a longer period of time.

Introduction to Rings and Fields online course comes with the certification. The candidates will be receiving it after they complete the course. The candidates must ensure that they perform well in all the learning materials offered to them. The course will also prepare the candidates for some of the industries.

Graph Theory certification course puts forward the various basic knowledge for the candidates. The minute details of the topics have been covered in these topics. The main objective of the course is to offer a comprehensive introduction to the graph theory. Sessions have been designed with emphasis on a single topic in every module.

The candidates will be acquiring skills on putting large sums of data into visual form. The candidates will be studying graphs through a framework so that it becomes easy for the candidates to have proper learning on this. The different types of graphs have been illustrated so the participants are able to have a clear concept in each of them.

Once the candidate completes the Graph Theory online course, a certification has also been included. The candidates will be exposed to the learning methodology where they will be coming across simpler ways of acquiring the knowledge.

The Introductory Mathematical Methods for Biologists certification course focuses on a comprehensive framework of the particular major with an analytical approach. For biology students, it is an introductory mathematics course with the purpose of teaching them to do quantitative analysis of biological processes. Students will be instructed on how to explain biological processes using the vocabulary of mathematics, how to write basic mathematical equations for different phenomena that exist in biology. The Introductory Mathematical Methods for Biologists training will undertake the beginner’s concepts in a mathematical approach that will help the biology student to get better learning of each and every module of this particular curriculum. The course’s lectures are structured into different weekly sessions focusing on the main and core aspects of the field. The candidate can avail different benefits by doing this course in the end by getting Introductory Mathematical Methods for Biologists certification. Candidates can get intellectual learning that will be supported by the industrial side that will help them to take this course more fluently. This is a core structure to be completed in eight weeks as prescribed by the UGC. The course is categorized into biological science and bioengineering.

The Partial Differential Equations – I course by Swayam is the first course in a two-part course series. There will be around 20 hours of online learning spread over eight weeks. You will build a robust foundation on Partial Differential Equations or PDE over the course duration.

Through the Partial Differential Equations – I certification course, you will learn the geometry and analysis behind the core PDE concepts. And move beyond the problem-solving techniques to understand PDE theories in-depth. However, it will primarily focus on classical geometry and calculus variables.

The Partial Differential Equations – I course will first introduce you to the scope of the PDE study, followed by methods of characteristics, multi-variables, and classification in First Order equations. There will also be weekly assignments to help you test your progress.

The intended audience for the Partial Differential Equations – I programme are students and teachers belonging to the Mathematics, Science, and Engineering disciplines. However, this online course is still open to all interested candidates, irrespective of their background.

The Introduction To Galois Theory online course is provided to all the applicants by the Indian Institute of Technology, Madras. The course covers the subject line of mathematics. Participants who enrol for this programme will be able to learn about the aspects related to Galois theory. The course is entirely an online session for 8 weeks. The programme does not require students to undergo any long procedure of admission or entrance. The Introduction To Galois Theory certification course is free to be joined by the students who are interested in the discipline. The course provides unlimited access to the students to gain information from the programme.

The Introduction To Galois Theory programme includes video lectures, assignments, problem-solving assessments, and other activities for the proper understanding of the concepts to the students. Candidates can also gain certification for the course upon the successful completion of the programme. The course allows the candidates to be informed through the topics without any restrictions in regards to the attendance or timings of the sessions. An offline exam is conducted by the provider of the Introduction To Galois Theory training at the end of the programme so that the students gain the certificate. 

The Mathematical Methods in Physics 1 course by Swayam aims to help aspiring physicists develop a solid background in mathematics. The concepts covered in this course will make the mathematical aspects of the subject more accessible to the candidate. 

Professor Auditya Sharma, a top faculty from IISER Bhopal, teaches the Mathematical Methods in Physics 1 certification program provided by Swayam. It is accredited by IISER Bhopal and is an FDP course that has been approved by AICTE. It is a core program spanning weeks of extensive learning and falls under the category of mathematics. Moreover, this online course is purposefully designed for UG-level students. 

The Mathematical Methods in Physics 1 course will be taught online via video tutorials. There will be graded tests and internal assessments, and free study material for the candidate to access. Candidates will also be eligible for the course e-certificate if they sit for the end-term offline exam.

The Multivariable Calculus certification course is an undergraduate-level introductory program spread over eight weeks. It is offered to students with a background in engineering and sciences. Various topics related to calculus functions of two or more variables like differentiation and integration are discussed along with other applications. 

The Multivariable Calculus training also throws light on vector functions calculus and its wide array of applications.  This core course falls under the ‘‘Mathematics’’ domain and is offered by Professors S.K Gupta and Sanjeev Kumar from IIT Roorkee. Both the trainers are associate professors from the Institute’s Department of Mathematics and have several published research papers under their name.

The Multivariable Calculus certification syllabus covers the multivariable calculus topics extensively. Concepts ranging from limits, continuity, and partial derivatives to Taylor’s theorem, polar curves, and multiple integrals comprise this curriculum. Moreover, the certification issued contains the student’s name, his/her photography, the logos of NPTEL and IIT Roorkee, and their acquired final exam scores.

The ‘Calculus for Economics, Commerce and Management’ certification is a study of the mathematical tools and techniques to evaluate problems and solve problems to arrive at logical conclusions. This online course offers a better understanding of the scope of calculus in economics, commerce, and management domains. This free online certification is provided by Swayam in collaboration with the National Programme on Technology Enhanced Learning (NPTEL). 

Prof. I. K. Rana, an emeritus fellow from the department of mathematics at the Indian Institute of Technology Bombay will be the course instructor for this program to guide the students in developing their foundational skills of the concepts of calculus and its applications. The course classes are scheduled for eight weeks and the students are expected to form discussion groups to optimize the learning experience aided by the online resources and references. 

The ‘Calculus for Economics, Commerce and Management’ online certification program helps students receive an E-certificate at the end of the course after completing the course and assessments with the two credit points.

The ‘First Course on Partial Differential Equations - II’ online course is designed for the students to enable them to learn about the mathematical concepts and theories of partial differential equations and their applications. This certification program is provided by Swayam, a free online education portal in association with National Programme on Technology Enhanced Learning (NPTEL). The course classes are organized for a time period of eight weeks.

The instructors for this training program are professor A.K. Nandakumaran, faculty at the department of mathematics in the Indian Institute of Science Bangalore, and professor P.S.Datti a former faculty member of the Tata Institute of Fundamental Research-Centre for Applicable Mathematics, Bangalore. The curriculum is delivered through videos, lectures, books, other online resources, and the students are assessed by the weekly assignments and the final certification exam.

The ‘First Course on Partial Differential Equations - II’ online training offers the students with certification and credit points at the end of the course for the eligible candidates. 

The ‘Introduction to Abstract Group Theory’ online certification course is offered for the students to understand the concepts of abstract groups. The course enables students to study the definitions, fundamental properties, and structuring theorems in group theory. This free online certification program is provided by the Swayam online portal with the National Programme on Technology Enhanced Learning (NPTEL).

The instructor for this online program is professor Krishna Hanumanthu from the Chennai Mathematical Institute (CMI). The classes of this online training program are conducted for eight weeks in an online virtual environment aided by videos, lectures, course modules, examples, books, references, and other online resources. The students of this core course in their undergraduate or postgraduate level will gain both theoretical and hands-on insights with this course.

The ‘Introduction to Abstract Group Theory’ online course helps students receive certification according to the eligibility standards at the end of the course with credit points worth the certification.

The ‘Introduction to Abstract and Linear Algebra’ online certification course is developed for the students to get introduced to the theories and principles involved in the domain of abstract and linear algebra. This free online training is provided by the Swayam online education portal in collaboration with the National Program for Technology Enhanced Learning (NPTEL). The classes of this program are held in the virtual platform with the videos and lectures aided by books, references, and other resources for a period of eight weeks.

This core course is drafted for the undergraduate and postgraduate students of the engineering and science fields to gain from the theoretical and practical insights on the applications of these mathematical concepts. The course instructor is the associate professor Sourav Mukhopadhyay, faculty in the department of mathematics at the Indian Institute of Technology Kharagpur.

The ‘Introduction to Abstract and Linear Algebra’ online certification course enables the candidates to receive a certificate with two credit points by the end of this All India Council for Technical Education approved course.

The Probability for Computer Science Certification Course is a massive open online course that discusses the important topics in probability. The course available in online format on the Swayam learning platform is not a typical mathematics course. The course will familiarise learners with the concepts of probability along with its applications in algorithms and computer science. The Probability for Computer Science Training will be provided by Prof. Nitin Saxena of IIT Kanpur. The course will be taught via video lectures and is aimed at the undergraduate or post-graduate level. The model of assessments constitutes assignments and exams upon completion of which, learners will receive the  Probability for Computer Science Certification by NPTEL and IIT Kanpur.

Probability and Stochastics for Finance Certification will start with basics of probability as a tool to understand randomness and introduces the candidates to the main concepts, notions and results of stochastic financial mathematics.

Probability and Stochastics for Finance Classes provides necessary information for those individuals and professionals dealing with stochastic calculus and pricing in the models of financial markets such as SENSEX, NIFTY and operating under uncertainty.

All students enrolled will get a Probability and Stochastics for Finance Certification by Indian Institute of Technology Kanpur (IIT Kanpur) under the Swayam Initiative by Government of India. 

The coursework of the Introduction to numerical analysis course by Coursera has been structured to give the learners an insight into the various concepts of Numerical analysis and to help them develop their career in that direction. This course aims at enabling the candidates to have a detailed understanding of the process of numerical computing which requires assembling building blocks into computational pipelines and a basic understanding of its numerical methods, their strengths, limitations, failure modes and weaknesses. 

Through this coursework, the participants will be trained to analyze and develop the primary characteristics of numerical algorithms. They will be able to represent them with diverse classic problems in numerical mathematics. The process of implementing constructions into working prototypes of numerical code will also be taught. This course is being instructed by Evgeni Burovski who is an assistant professor at the School of Applied Mathematics at HSE.  The instructor ensures to deliver the programme in an interactive manner by including discussion forums, projects, e-learning videos and practice exercises as a part of conducting classes. This course is being offered by the National Research University Higher School of Economics on Coursera.

Harvard University is offering the Fat Chance: Probability from the Ground Up course in partnership with edX. It is a seven-week programme that will cover probability and statistics up to the college level. Thorough video lectures support the programme curriculum. It will enable you to have a deep understanding of what lies at the core of quantitative reasoning.

By taking the Fat Chance online training programme, you will rise over learning through rote formulae and term memorisation. You will hone your basic counting skills, along with their application to probability problems. The curriculum of the programme will also take you through the concepts of expected value, normal distribution, and variance. 

The probability from the Ground Up course by edX will train you to solve even the most complex problems based on stats and probability. Being a self-directed trainer, you can take your time to practice and learn the concepts as per your schedule. Also, as Harvard University is offering the course, the instructors will belong to the premier institution. The programme has two enrolment options; paid certificate mode and free audit mode. In the free audit mode, the students can get access to the programme only for a limited duration. 

The course of inferring causal effects from the observational data offered by the platform of Coursera is free of cost course. The enrolled candidate can get a certificate for this course after paying a fixed amount according to the guidelines of the Coursera platform. The duration for this course is 5 weeks. This course is taught under the guidance of experts from the University of Pennsylvania. The E-certificate is available after the completion of this course.

The enrolled candidates will be provided with all the quizzes, assignments, video lectures, web links for books and references. As this course is free of cost and online, it is easily accessible for all the sections of society. Financial aid is also provided. The course of inferring causal effects from the observational data is highly recommended for all the students, teachers and researchers who are interested in this field. Financial aid is also available for all learners who cannot afford the fee. Total 33 percent of people started a new career after completing this course and 29 percent of them got career benefits after pursuing this course.

Mathematics has several mysterious and fascinating subjects that have struck the curiosity of mathematicians since ancient times. One such topic is prime numbers which hold special significance due to their unusual nature. The More Fun with Prime Numbers online course by edX dives into the basic concepts, laws, and properties of prime numbers. 

Furthermore, edX's More Fun with Prime Numbers certification explores the role of prime numbers in cryptography and the construction of cryptosystems. This course is an upgraded version of a previous course launched in 2015 called ‘Fun with Prime Numbers’. However, this is not a continuation of the previous course and is simply a more refined version, along with some additional topics. 

The More Fun with Prime Numbers program is a great course for math enthusiasts and will help them discover new concepts and tackle different problems using the concepts acquired during the course. You can learn this course for free and purchase a verified certificate to validate your learning.

Data Science Math Skills certification is a 13 hours online course that is divided into 5 weeks and is an offering of Coursera along with Duke University. This course is very useful for those who want to keep on learning the basics of mathematics irrespective of whether they have learnt pre-calculus or algebra. Learning math skills through both androids, and apple devices will create the basis for successful data science.

Data Science Math Skills training forms the introduction for core math skills that data science requires, without any extra complexity, by introducing math symbols, and unfamiliar ideas one at a time. Besides this being a beginner course, this certification can act as a prerequisite for the “Mastering Data Analysis in Excel” course. Anyone who has successfully completed this gets to understand advanced concepts of maths like problem-solving along with certificates that are shareable.

The objective of the Groups: Motion, Symmetry and Puzzles online course by SWAYAM is to encourage learners to explore and enjoy different aspects of groups. The programme is not specifically about group theory. Instead, it is about the importance of groups and why one should study them. The course curriculum also offers a glimpse into abstraction and why it is an indispensable mathematical tool. Candidates will learn all this and more, only in four short weeks.

The Groups: Motion, Symmetry and Puzzles programme welcomes anyone and everyone interested in understanding the significance of group theory and abstractions. Be it school seniors, science and engineering undergraduates, or even Masters and Doctorate scholars; everyone is welcome.

There are several assignments that candidates can undertake to evaluate their learning. Additionally, they can take the term-end exam to earn a course certification. They can do so by paying an examination fee and visiting any one of the designated test centres to appear for the assessment. 

Pedagogy systems around the world vary significantly. However, one of the most celebrated and widely adopted methods of imparting education in the subject of mathematics to make it more engaging is the Asian method. It has achieved success globally and has revamped the teaching of primary maths considerably. 

World Class Maths: Asian Teaching Methods Certification Programme can be pursued by all actors of the education sector who wish to learn about this incredible method and deploy it in their career or study to gain professionally and educationally respectively. Whether it be students who love mathematics or those who do not, this course will cater to the needs of both categories alike. 

The course is backed by the University of Southampton and Macmillan Education which are both fundamental players in the field of education. It strikes the curiosity of learners with respect to the special facts of this method and its key features. Learners will learn about the teaching principles used in Shanghai and Singapore while evaluating the performance of maths education in their respective country along with drawing a comparative analysis between Asian countries. It also stresses why the professional development of teachers is important in the Asian education paradigm.

With this World Class Maths: Asian Teaching Practice programme from Macmillan Education and the University of Southampton, get an introduction to Asian mathematics teaching strategies for primary education. In this programme, candidates can explore in greater detail the main characteristics of Asian mathematics teaching methods and bring them into practice in their own classroom. 

Cantered on Asian mathematics teaching methods, candidates can discover how to build their own lesson plans. Candidates will learn how to plan mathematical tasks to professionally improve candidates' teaching of mathematics. Candidates can learn how to incorporate methods of teaching Asian mathematics into their own teaching activities. 

The World Class Maths: Asian Teaching Practice programme is designed with a 4 weeks curriculum. There will be 3 hours of class in a week. This online programme can be learned for free. To get benefits like certificates and long-term access there will be a fixed fee. 

Candidates will get a chance to learn the World Class Maths: Asian Teaching Practice programme with experts. All the instructors have experienced professionals in the field and they are professors at top universities in the world.

The Basics of Scientific Visualization in Mathematical Modeling of Systems program utilizes C++ to introduce the participants to pathways leading to logical visualization in the presence of business-relevant examples. An immersive approach to this program will equip you with the skills to form a holistic view of logical algorithms as well as data structures for describing the objects.

This creation of the Basics of scientific visualization in mathematical modeling of systems course began as a subset of the former educational program developed by the Ministry of Higher Education and Science in Russia. Topics such as dynamic script execution and image processing are covered in its content. Also, in the second half of the project, the underlying principles of client-server applications are also brought forward.

It’s a 4-week program that requires the participants to put in 1 to 3 hours of time per week for optimum utilization of the experience. As with other courses, an option to audit as well as one to receive an official certification is included. National Research Nuclear University, Russia is the partner institution. 

Prime numbers have been one of the essential discoveries in the field of mathematics. The Fun with Prime Numbers: The Mysterious World of Mathematics program will help you better understand what they are and how we can solve their problems easily. You will also explore their importance in the mathematics domain. It is an intermediate-level course.

The Fun with Prime Numbers certification syllabus begins with understanding the important properties of prime numbers and the ways in which they obey mysterious laws. The course is equipped with numerous problems that candidates will learn to tackle. It also deep dives into the prime numbers introduced to us earlier and the ones introduced to us in recent times. 

Offered by Kyoto University, the Fun with Prime Numbers online course is taught by Tetsushi Lto. You will explore the various laws that mathematicians associate with prime numbers, including those in discovery. It can be successfully completed in a period of four weeks.

The Numerical Methods: Finite Difference Approach course by Swayam is an advanced learning program for postgraduates from Science and Engineering backgrounds. This short, four-week training teaches students about partial differential equations, their different classes, and their solution methods. Falling under the ‘‘Mathematics’’ purview, it is a core curriculum set at the PG-level. 

The Numerical Methods: Finite Difference Approach certification syllabus also deals with the solution methods’ stability analysis and convergence. Since the curriculum covers this subject’s vital topics, it will allow candidates to solve numerous science and engineering problems once they finish every module. This training also has various applications in engineering sciences diverse fields. Thus, it is widely recognized by General Electric, TCS, ABB, Nuclear Industries, and similar companies. 

What’s more, students seeking job opportunities in organizations such as those mentioned above can opt for the Numerical Methods: Finite Difference Approach certification for a significant boost. Paying the required fees and clearing its eligibility, they can obtain this e-verifiable certificate to show recruiters. 

Modelling is imperative for understanding a large-scale process’s dynamics. Undertaking the process’s model equations-based virtual experiments, one can optimise operating conditions or/and design the systems efficiently. In most of these practical procedures, model equations deal with numerous parameters, ultimately resulting in partial differential equations (PDEs). The Partial Differential Equations (PDE) For Engineers programme helps candidates obtain holistic knowledge about this.

This four-week course in Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables by Swayam is an elective programme. Here, students will learn about the various solutions undertaken by process engineers to solve PDEs, including the separation of variables, which is this training’s primary focus. Falling under the ‘Mathematics’ category, this is a PG/UG-tier curriculum.

This training aims to establish solution technique skills among students, helping them become fluent in solving PDEs for various engineering applications. The curriculum also includes an optional Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables certificate. Interested applicants can obtain this by submitting all their assignments and clearing the course-end test. 

The Introduction to Linear Models and Matrix Algebra Certification Course is an introductory course in data analysis dealing with the applications of matrix algebra and linear models. The course will enable learners to explore experimental designing tools and the process of analysis of high-dimensional data and statistics.

The Introduction to Linear Models and Matrix Algebra Online Course is taught over a period of 5 weeks with the help of online study materials. The course instructors are Rafael Irizarry and Michael Love, distinguished professors at Harvard University. The learners will get the chance to obtain a certificate upon successful completion of the course if they have chosen the verified track to join the self-paced programme. A limited duration of access to the course will be given to the students if they opt to join it free of cost. 

The open online course supported by edX is an intermediate-level course that requires learners to have basic knowledge of mathematics, statistics, and R programming language. After joining the Introduction to Linear Models and Matrix Algebra Course, learners will be assessed through a series of graded assignments and exams. 

The ‘Decision-Making Under Uncertainty’ online course is a study about the various kinds of techniques and strategies used in decision-making for different situations. This operations research and management science course is provided by the online education portal Swayam by the government of India with the National Programme on Technology Enhanced Learning (NPTEL). The online classes of this elective program are conducted for a duration of four weeks. 

This course belonging to the domain of commerce and operations management is instructed by Prof. Natarajan Gautam teaching Industrial and Systems Engineering from Texas A&M University. The students of this AITCE approved course are engaged with online learning methods aided by the online resources and lectures with the books and reference materials to gain both theoretical and experimental knowledge.

The ‘teaching Industrial and Systems Engineering’ online training enables students to get an online course certificate and academic course credits after completing the program.

The ‘Laplace Transform’ online course is a study about the mathematical tool that is used to solve the various kinds of differential equations, difference equations, and integral equations that are found in the fields of engineering and other primary sciences such as physics, chemistry, biology, economics, and other technological domains. This mathematics certification program is provided by the free online education platform Swayam along with the National Programme on Technology Enhanced Learning (NPTEL). The online course classes are held through video lectures for a period of four weeks. The course mentor for this AICTE approved elective course is assistant professor Indrava Roy from The Institute of Mathematical Sciences, Chennai. The books and reference materials are given in the program to aid the experiential learning process for the candidates. The ‘Laplace Transform’ online certification course enables eligible students to gain course certificates and academic credits after successful completion of the course.