Swayam Mathematics Courses & Certifications

The Mathematics XII Part-I Training is a massive open online course that educates learners on the mathematical concepts in Class XII. The course is available on the Swayam learning platform and is coordinated by Prof. T. P. Sarma of DESM, NCERT, New Delhi. The course is aimed at senior secondary students and provides an interactive forum for students to gain knowledge and skills.

The Mathematics XII Part-I Online Course will be delivered through video tutorials and web resources. The course is scheduled in a week-wise pattern and includes self-assessments to help students learn the concepts thoroughly. The students will be provided with a Mathematics XII Part-I Certification by NIOS and Swayam upon successful completion of all assessments.

Also Read: Sr.Secondary : Mathematics (311).

The Sr.Secondary: Mathematics (311) Training is a massive open online course that provides a clear overview of mathematical concepts at the senior secondary level. The course follows a sequential learning model that includes illustrations and examples to better understand the concepts. The specialized course will provide learners with lesson wise video tutorials and lesson wise multiple choice questions along with exercises and discussion forums.

The Sr.Secondary: Mathematics (311) Certification Course is offered on the Swayam interactive and engaging learning platform. After completing the course steps and evaluations, learners will get the chance to receive a course certificate. You can register for the on-demand examination and receive the Sr.Secondary: Mathematics (311) Certification by NIOS and Swayam.

The Secondary: Maths(211) Online Course is a massive open online course that educates learners about the fundamentals of mathematics in the most effective ways. The course is coordinated by Prof. Dr. Rajendra Kumar Nayak | National Institute of Open Schooling (NIOS). The training sessions will improve your knowledge in quantification and other advanced concepts of mathematics.

The Secondary: Maths(211) Training will be based on 26 lessons that constitutes 6 modules titled Algebra, Commercial Mathematics, Geometry, Mensuration, Trigonometry, and Statistics. It also includes 30 mathematical activities of algebra, geometry, and mensuration

along with MCQs and self-assessments. After successful completion of all course steps, learners will receive a Secondary: Maths(211) Certification by Swayam.

The Mathematics XI Part-I Certification Course is a massive open online course that is based on concepts and approaches of mathematics in Class XI. The online course provides learners with a detailed understanding of different concepts like sets and functions, trigonometric functions, quadratic equations, and the principle of mathematical induction. The course is available on the online learning platform of Swayam.

The Mathematics XI Part-I Training is coordinated by Prof. T. P. Sarma of the DESM, NCERT, New Delhi. Through the expert video lectures reading materials and other online resources, learners will be able to grasp the underlying concept and approaches used in Mathematical functions. After successful course completion, learners will be able to receive the Mathematics XI Part-I Certification by NIOS and Swayam.

Also Read: Sr.Secondary : Mathematics (311)

The Mathematics XI Part-II Certification Course is a massive open online course that is based on the concepts of mathematics learned by class XI students. The course is divided into 25 modules and is available in online mode through the Swayam learning platform. The mode of delivery for the course includes video lectures, e-texts, problem-solving methods, and web resources.

The Mathematics XI Part-II Training is provided by subject experts and coordinated by Prof. T. P. Sarma of the DESM, NCERT, New Delhi. The course will include self-assessments in the form of online quizzes and a final assessment in the end. After a student completes all these steps, they will get rewarded with a Mathematics XI Part-II Certification by NIOS and Swayam.

Also Read: Sr.Secondary: Mathematics (311)

The Fourier Analysis and Its Applications online course has been selected as the basic theoretical applications and aspects of the topics that are directly or indirectly related to the topic of Fourier. 

The Fourier Analysis and Its Applications certification syllabus will be conducted for a total of 16 weeks and will be covering the topics namely- The space S of rapidly decreasing functions, Application to PDEs, Fourier transform as an operator from S to S, and the Plancherel's theorem, Cesaro summability - Fejer's theorem and its applications, Basic convergence theorem of Fourier series and its applications and Sturm-Liouville problems and its applications. 

With the help of lecture videos, assignments, tests, and case study guides, the students will be taught the basics of the concept of  Fourier. The diverse applications of the subject of mathematics will also be covered in a descriptive way in the online course on Fourier Analysis and Its Applications by Swayam.

The Applied Multivariate Analysis certificate course offered by swayam is a certification course for learning the applied multivariate statistical methods and progress in the field of statistics. This certification is a perfect place to learn Multivariate Statistics and its applications in the practical world. 

This course will introduce an important and useful class of statistics. This course is structured in a way to cater to two main objectives, first is to extend the Univariate statistical methods to multiple variables. And the other is to create techniques that are applicable to multiple variables studies only. 

The Applied Multivariate Analysis Certificate Programme is a combination of theory and the practical applications of applied multivariate analysis. This course will help postgraduate students studying statistics as their major and other candidates from different disciplines who want to study these complex statistical methods for use in various analyses. 

The course is designed to create a curiosity in learners and engage them in the applications concerning the use of multiple dependent variables in carrying out any analysis. The course is suitable for candidates who have basic knowledge of mathematics and statistics. It will benefit candidates who wish to pursue a career in this field and want to upskill themselves for the industry. 

The Certification Course by Swayam in Partial Differential Equation is very vital for the students from physics, mathematics and engineering backgrounds. The course mainly focuses on the first and second order of linear PDE. The course is very helpful in building a strong base in Partial Differential Equation. Upon completion of Course in Partial Differential Equation by Swayam one will be eligible for the certification.

The Certification Course by Swayam in Partial Differential Equation will have a tenure of 15-weeks and will have the level of postgraduate. The course in Partial Differential Equation by Swayam will enhance one’s skill in the different aspects of Partial Differential Equation.

The Certification Course by Swayam in Partial Differential Equation will be held online and the students don’t have to come to the center. The entire course in Partial Differential Equation by Swayam can be perused from one’s own home. While pursuing this course candidate will have the opportunity of doubt clearing.

The course of Differential Calculus offered by the Swayam platform is beneficial for every student. This course is offered under the guidance of MHRD [Ministry of Human Resource Development]. 

This course is an undergraduate-level course in which the duration of the course is 15 weeks and it is divided into 36 sessions.  After completion of this course, students will gain 4 credits and a certificate of completion. The students who are pursuing their careers in the science stream or are planning to pursue it or are curious to dive into the depth of mathematics should take this course for understanding the core of Differential Calculus.

Every student can avail themselves the benefits of this course by applying the understanding of Differential Calculus to their degree programmes or in their quantitative learning and even in the basic principles of their academic learning. After completion of this course, you will achieve another big milestone in the field of mathematics and science. Proper learning and understanding of this course by the students can benefit them in their professional lives and can help them in understanding applications of the world as well as of the universe.

The Swayam programme is initiated by the Indian government which targets to provide education to all among the youth of India. They have courses divided into nine categories, keeping in mind all students across India. Their courses are free of cost and each category has a number of courses that are beneficial for a better professional life. 

Numerical analysis is also known as computational mathematics is a course offered by swayam, which is basically needed to solve the problem and design functions on a computer. Some problems and functions are very complex and long and thus cannot be done by simple algebra and hence many mathematicians, physicians, and experts from other fields resort to the use of numerical analysis. It is used as a substitution for the complex methods of solving problems like definite integration, differential equations, interpolation, and many more. It is a time-saving formula. 

It is a very important and common topic. Some universities offer it as a core course. Any student from the field of engineering, computer science, mathematics, statistics, electronics, chemistry, or physics and opt for this. It is an interdisciplinary course used by many teachers, researchers, students, etc.

Trigonometry and algebra are the two domains of mathematics that find applications in various subjects and professions. This course on Algebra and Trigonometry is designed to help students gather a fundamental understanding of these concepts and be prepared to take them on in the future.

The Algebra and Trigonometry certification syllabus is designed in a way to act as a stepping stone for candidates who want to pursue these topics at the advanced level. This certification course is a core-level programme of the undergraduate level and runs for 15 weeks. The syllabus is comprehensive and relevant to the current education system.

Candidates who enrol for the Algebra and Trigonometry Training by Swayam will acquire a deep understanding of the concepts. They will undertake tests, exercises, and assignments to test their learning and improve. The course by Swayam also provides for interaction between the students and faculty through discussion forums, which is the main attraction of this online programme.

BCOC-134 Business Mathematics and Statistics Certification helps students to learn how to make decisions when presented with incomplete information through comprehensive coverage of statistical methods, management mathematics and probability and extensive examples and questions for students on business and accounting courses. Commercial organizations and companies use mathematics and statistics in many applications such as accounting, inventory management, marketing, sales forecasting, and financial analysis.

BCOC-134 Business Mathematics and Statistics Classes help candidates undertaking this course to develop the abilities to deal with numerical and quantitative issues in business and thus enable the use of statistical, graphical and algebraic techniques and methods wherever relevant to solve the issues. 

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.  

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.

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.

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. 

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.

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.

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. 

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.

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.

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.

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. In the course, there will be 36 lectures divided into 12 weeks duration. 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.

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.

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.

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. 

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.

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.

The Engineering Mathematics II online course is a 12-week course and the second part of Engineering Mathematics training. This programme is an undergraduate-level core course, and a  part of the mathematics category, offered by IIT Kharagpur. The course will be instructed in English by Prof Jitendra Kumar.

The Engineering Mathematics II certification syllabus deals with the essential and fundamental aspects of mathematics required for undergraduate science or engineering studies. Some of the topics covered under the course in the first eight weeks are vector calculus, numerical and complex analysis, and Laplace Transform methods applied to several engineering-related problems. 

Towards the end, the last four weeks of the Engineering Mathematics II training deals with module five, including in-depth information about the Fourier Series Representation and Transform.  The course also has many reference materials to help the candidates do their research. Candidates may even register for the exam and receive an e-certificate based on their eligibility.

The Fuzzy Sets, Logic and Systems & Applications by Swayam is designed in a definite structure to meet the knowledge requirements of students, researchers, and practicing engineers. The course deals with the fuzzy systems theory. The multiple values in fuzzy logic that the system deals with, are described in the course. This course also provides case studies of certain fuzzy logic usage from real-life.

This course is available on the Swayam online learning platform. Swayam provides free access to its courses. This course can be accessed on the Swayam website or from the downloaded Swayam app. This course is verified by one of the prestigious technology institutions of India, IIT Kanpur.  It is supported and initiated by NPTEL and MHRD respectively.

The Fuzzy Sets, Logic and Systems & Applications certification is valuable as it is government-initiated and nationally coordinated. The certification will help all those candidates aspiring for better future opportunities. The certification will have the logos of IIT Kanpur and NPTEL. It will also have the photograph of the candidates and the final score of the candidates.