Online Mathematics Courses & Certifications

The Differential Equations For Engineers certification course introduces essential differential equations and their solution methods to students in physical, and mechanical sciences, and engineering. Covering both ordinary and partial differential equations, it equips students with vital skills for analysing and solving equations prevalent in scientific and engineering contexts.

With the Differential Equations For Engineers certification by Swayam, students delve into topics such as the classification of differential equations, analytical and numerical solution methods, and practical applications in engineering. Students gain a solid understanding of differential equations, enabling them to tackle mathematical challenges in their respective fields confidently.

The measure Theory Certification course is a 12-week online programme that offers a comprehensive exploration into the fundamental concepts and applications of measure theory. Students will gain a deep understanding of the theoretical foundations of measure theory and its practical significance in mathematical physics with the Measure Theory Certification by NPTEL.

The measure Theory training will develop the analytical skills necessary to tackle advanced mathematical problems and applications. Students are equipped with a solid foundation in measure theory, empowering them to engage with complex mathematical concepts. They are at the same time provided with a versatile toolkit for solving real-world problems.

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The Commutative Algebra Certification course is a 12-week online programme that provides students with a comprehensive exploration of the foundational principles and advanced topics within the field of abstract algebra. Students delve into the fundamental theorems of algebra through the Commutative Algebra Certification by NPTEL.

The online course develops proficiency among students in manipulating algebraic structures, proving theorems, and solving problems related to commutative rings and modules. The Commutative Algebra certification training strengthens the analytical skills necessary to tackle complex problems in algebraic structures and their applications.

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The Introduction to Algebraic Topology (Part-II) Certification course is a 12-week online programme that delves deeper into the fundamental concepts and techniques of algebraic topology. Students are offered a comprehensive exploration of algebraic structures and topological spaces, focusing on their interplay and applications through the Introduction to Algebraic Topology (Part-II) Certification by NPTEL.

The Introduction to Algebraic Topology (Part-II) training provides a combination of lectures and problem-solving sessions. They will gain a comprehensive understanding of these abstract mathematical structures and their applications in various branches of mathematics. Thus, they will be able to apply them to solve complex problems and contribute to ongoing research in the field. 

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The Partial Differential Equations Certification course is a 12-week online programme that offers a comprehensive exploration of differential equations. Students are provided with a deep understanding of their mathematical foundations and practical significance across various fields through the Partial Differential Equations Certification by NPTEL.

The online course equips students with the analytical and computational tools necessary to tackle real-world problems, providing invaluable skills applicable to research. The Partial Differential Equations certification training empowers them to confidently navigate the complex landscape of partial differential equations and unlock new opportunities for innovation and discovery.

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The Numerical Analysis Certification course is a 12-week online programme that offers a comprehensive exploration of fundamental numerical methods and techniques essential for solving complex mathematical problems. Students are provided with the theoretical foundations and practical applications of numerical algorithms through the Numerical Analysis Certification by NPTEL.

The Numerical Analysis training equips students with the skills necessary to effectively analyse and solve real-world problems using numerical methods. The course masters the art of numerical computation and analysis. They will gain proficiency in implementing numerical algorithms using programming languages such as Python, MATLAB, or R.

Also Read: Online Programming Certification Courses

The Matrix Computation and its Applications certification course is a 12-week duration programme. To join this certification course the students must have a basic knowledge of matrix theory. The course provides a comprehensive curriculum to the candidates such as an introduction to binary operations, vector spaces, subspaces, and linearly independent and dependent vectors.

 The Matrix Computation and its Applications certification by NPTEL is designed for undergraduate and postgraduate students. The certification course focuses on applications of matrices in various areas of engineering and science. Students gain hands-on experience and will be able to apply the learned concepts in real-world scenarios with the support of leading industry experts from IIT Delhi.

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The duration of the Introduction to Probability Theory and Statistics certification course is 12 weeks. The prerequisite for this course is the students must have a basic course on Linear Algebra and Calculus. The course curriculum covers a wide range of topics related to concepts of probability theory and statistics.

 This certification course is a core type and is designed for Undergraduate and Postgraduate students. The Introduction to Probability Theory and Statistics certification by NPTEL equips the candidates with essential skills and knowledge to apply the learned concepts for handling various real-world problems. Students will gain hands-on experience with the support of industry experts.

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Coursera’s Discrete Mathematics online training programme uncovers the fundamentals of discrete mathematics, and how it also forms the mathematical foundation of information and computer science. You will be familiarized with a wide range of mathematical aspects such as functions, graphs, relations, sets, etc. which are ubiquitous and thoroughly involved in computer science.

The online programme, Discrete Mathematics, is an intermediate-level course and attempts to teach through rigorous methods while also trying to avoid being extra formal. For this, the course not only introduces the concepts and gives the full proof, but also makes the process interesting by showing at least one non-trivial result. Examples and figures will be used whenever possible to avoid extremely formal representation.

The Shanghai Jiao Tong University offers the Discrete Mathematics online course and is known to be one of China’s fastest developing universities. The course curriculum features online video lectures, course readings, quizzes, assignments, and interactive feedback. Moreover, it also provides flexible deadlines for a self-paced learning experience. Upon completion, you will also earn the e-certificate, which can be shared across your LinkedIn profile, CV, or printed resume.

The program on AP Calculus BC by edX is a collaborative effort between the course-offering institution Davidson College, edX, and the College Board. The course has been designed to help you prepare for the Advanced Placement Calculus BC exam and conquer this subject’s most challenging aspects.

During the AP Calculus BC certification course, you will learn from the best AP instructors from across the country. Each session begins with an instructor’s video lecture, followed by hands-on exercises like data analysis, tutorials, and interactive graphs. Moreover, the highly experienced instructors divide the modules into bite-sized learning cycles, thus adding structure to difficult study sections.

Falling under the ‘Math’ field of study, the AP Calculus BC certification syllabus consists of short video lectures, simulations, AP style questions to analyze your understanding, practice problems, and interactive exercises to prepare you for exams. Candidates can enroll in this programme for free, and choose to pay for the verified certification, offered by Davidson College and edX. There is a time limit until which the course remains accessible in the audit track chosen by the candidates. But in the case of selection of the verified track, the candidates will have unlimited access to the course materials.

This certificate course on Calculus Applied!  offered by HarvardX is created to apply the tools in single variable calculus theory for creating and analyzing mathematical models used in real-life sciences as well as physical and social sciences. The course goes beyond the scope of textbook knowledge and calculus where it works with the practitioners in all the required sciences for understanding how mathematical and calculus models work in those areas. The course is instructed by real practitioners who will help the candidate explore the concepts in a very hands-on manner. 

The Calculus Applied certification course acts as a unique addition to the area of calculus training mentoring concepts of integrals, derivatives, differential equations, and mathematical models with their applications and provides inferences. The course requires the candidate to be familiar with calculus concepts and learn about their applications rather than the theory. The Calculus Applied course offered has a three-person faculty preparation for the curriculum. The course in the audit mode is self-paced but only provides a limited period of access whereas the candidates during the verified mode will be able to learn the course in an unlimited time frame.

The Introduction to Probability training to bring logic to a world replete with randomness and uncertainty. This route will come up with the gear needed to apprehend information, technology, philosophy, engineering, economics, and finance. you may research now not simply how to remedy challenging technical troubles, but also how you could follow one's solutions in ordinary existence.

This path has seven gadgets of content, after Unit Zero's short introduction and orientation. For each of these seven units, the structure is as follows. The Introduction to Probability online course has covered opportunities so that you will get help from your friends and the course group or speak the material within the discussion boards.

With examples ranging from medical trying out to sports prediction, you will have a robust basis for having a look at statistical inference, stochastic approaches, randomized algorithms, and different topics wherein opportunity is needed to complete the Introduction to Probability certification syllabus. The course offers a self-paced mode of study and 2 tracks which may be chosen by the candidates to complete the course. In the audit track, the candidates will get a limited chance to finish the course without having to spend anything. In case the candidates need unlimited access to the course materials, they must settle for the verified track by paying some money for the certificate.

The Introduction to Probability Management certification course offered by edX is a guide for beginners who wish to learn the basics of probability, uncertain numbers, the arithmetic of uncertainty, developing risk models, and the relation between risk and uncertainty.

The Introduction to Probability Management training allows them to create interactive simulations, which can be shared among their team members working on Excel. The candidate will comprehend the flaw of averages, and understand the main reason behind the delay in projects. The Introduction to Probability Management certification benefits aim to focus on performing calculations of uncertain values from which productive results can be obtained. Also, the candidate will learn about Post Traumatic Statistics Disorder (PTSD) using limbic analysis and develop a plan to rectify the uncertainties.

An official certificate duly signed by the instructor will be issued after completion of the Introduction to Probability Management by edX. This certificate provided to the applicants will add a skill to their CV or resume and can be shared in the job application procedure and other platforms like LinkedIn or Upwork. Edx gives two options to enrol in the programme, namely, verified and audit modes. The verified mode provides a certificate of completion and unlimited access whereas the audit mode gives access only for a limited period. 

The Calculus of One Real Variable programme is an undergraduate level training. Swayam offers 40 lectures divided into a course plan of eight weeks. The curriculum aims to familiarise students with the elementary and advanced aspects of the calculus of a single variable. Candidates will find several applications of this knowledge in engineering, economics, and science domain.

The Calculus of One Real Variable online programme provides all-encompassing learning content about functions like continuous functions, inverse functions, transcendental functions, and limits and derivatives of a function. Students will also master the intermediate value theorem, Rolle’s Theorem, Lagrange’s mean value theorem, and maximum value theorem. Swayam also allows students to avail of the course free of cost.

Furthermore, Joydeep Dutta, who is presently a professor of Economics at IIT Kanpur’s Department of Humanities and Social Sciences, will teach you the course. Students from engineering, mathematics, economics, and science streams will benefit from the Calculus of One Real Variable certification training. 

Pursuing Calculus of Several Real Variables programmes will help students who want to learn advanced Physics, Mathematics, Economics, Engineering, Business Management, Operations Research, and even Biology. The curriculum is divided into an 8-week plan. Jaydeep Dutta, a professor with the Department of Humanities and Social Sciences at Indian Institute of Technology (IIT) Kanpur, will be your programme instructor.

When it comes to multivariable calculus, the first issue is that of limits. And when you have a function in two variables, you are working with a plane instead of a line. There are infinite approaches to reach a given point on a plane, and the limits that you take must give you the same value through all of these countless approaches. That is what the Calculus of Several Real Variables course covers extensively.

The Calculus of Several Real Variables training also covers the basics of vectors, continuity, partial derivatives, multiple integrals, the Stokes theorem, Gauss divergence theorem, Green’s theorem, and Taylor’s theorem. The undergraduate-level course is entirely online. Students will receive accreditation from IIT Kanpur and National Programme on Technology Enhanced Learning (NPTEL) if they fulfil the certification eligibility criteria.

The Numerical methods course by Swayam is one of the tremendous courses that has its application in engineering and science fields. This course contains basic mathematical concepts like differentiation, differential equations and integration. In the digital world, numerical computation plays an important role in solving logical operations. In most of these operations, it is difficult to obtain results in an analytical manner. The main objective of this course is to provide algorithms and numerical methods for solving problems.

Real life problems from Engineering and sciences are solved using linear and nonlinear equations. Apart from this, the course also covers matrix problems that are solved using eigenvalues and eigenvectors. It also covers concepts like Jacobi theorem, Interpolation, difference tables, difference operators, forward difference, backward difference, Newton’s divided difference interpolation and Lagrange interpolation. 

The system for solving first and second order ordinary differential equations are taught through methods like Euler method, Modified Euler method, Milne PC method and Runge-Kutta method. 

This programme helps the engineers to tackle various industrial and engineering related problems. Implementation of numerical methods to solve the problems will make the candidate a great problem solver with high accuracy in problem solving.

The Convex Optimization program will prove beneficial for students or professionals in electrical, mechanical, or civil engineering, computer science, scientific computing, Aero and Astro, operations research, and computational mathematics. This advanced-level course is excellent in learning how to solve application-oriented problems in the field of Convex Optimisation. 

The Convex Optimization by edX covers a wide range of topics including, convex analysis, convex sets, linear and quadratic problems, duality theory, minimax, interior-point methods, statistics and machine learning, finance, digital and analog circuits. The course will benefit candidates looking to pursue a career in computer applications or machine learning. 

The renowned Stanford University offers the eight-week Convex Optimization online course. There are video lectures in English and transcripts (also in English) to help you follow along. The course instructors, namely Stephen Boyd and Henryk Blasinski, are highly experienced in computer science, mathematical engineering, and other relevant disciplines. Several Ph.D. candidates will also mentor you as additional instructors.

Mathematics is the language of Technology, Engineering, and Science.  Calculus is a rudimentary mathematical topic in any engineering or science-based program. That’s why, to prepare you for the introductory calculus courses, edX has designed the Pre-University Calculus training. The program provides a refresher in five essential topics: differentiation, functions, integration, equations, and analytic geometry.

The self-paced Pre-University Calculus program features seven modules and one final exam. The modules themselves have short three-five minute videos in engineering, science, and technology. Moreover, you also get to test your knowledge by tackling interactive exercises and weekly homework. When you’re done with the curriculum, you’ll feel a lot more confident in negotiating with your first university-level calculus course.

After you’ve completed the Pre-University Calculus Certification syllabus, you will be relatively familiar with basic mathematical concepts and necessary definitions. You get to access the course material such as the videos and exercises for free. However, if you wish to have access to the final exam and certificate, you will need to purchase the certificate experience, priced at a nominal fee.

Becoming a skilled mathematical professional requires immaculate focus and training, but you must also create a strong foundation to handle numerous industry exercises. One of the core areas is Algebra, learning in which you’ll be able to interpret an array of equations and functions, hassle-free. The College Algebra certification course by edX provides a holistic package to this aid, where you’ll become fluent in Algebraic fundamentals.

A Doane University offers the College Algebra certification syllabus that covers critical areas such as inverse functions, graphs, polynomial functions, linear inequalities, exponential functions, equations and their linear systems, and many more. Successful course-takers will become adept in demonstrating increased skills in logical thinking and problem-solving. They will seamlessly pursue further education or employment in this field.

edX believes in furnishing a convenient studying experience and hence, offers the College Algebra online course at entirely no cost. Students will complete the curriculum comfortably in just eight short weeks, dedicating eight to twelve hours per week. Since it is at the intermediate level, learners don’t need to fulfill any eligibility criteria to enroll. The candidates are given the option of two tracks which may be chosen so that the course can be completed. Both the course tracks are self-paced but there is a time limit until which the course remains accessible in the audit mode. But in the case of the verified track, the candidates will be able to access the course materials for an unlimited period of time.

The Basic Calculus 1 and 2 online course offers a better understanding of the Calculus taught in classes 11 and 12. The course will explain in detail the methodologies of calculus. The topics such as differentiability, continuity of a function, and its applications will be discussed. The course will teach how to interpret a real number. The course will provide an understanding of the results. The series representation will be shown in the course curriculum.

The course is an online-based learning program. The course offers free access. The candidates who belong to disadvantaged groups of society will be benefitted. The course is offered on the NPTEL platform. The course will be accredited by the Indian Institute of Technology Kanpur. The course will be graded on the 6 best assignments out of 8 assignments and the final exam.

The Basic Calculus 1 and 2 certification is offered by NPTEL and can be e-verified. The certification is shareable on all platforms such as Linkedin, Facebook, Instagram, and many more. The certification will help gain new professional networks. This course is initiated by the government of India so the course certification is authentic and verifiable.

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.