Online Mathematics Courses & Certifications

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.

The Computational Science in Engineering certification course enables students to understand the needs of the rapidly evolving field of computer science. Students can approach a wide array of challenges in the areas of social sciences and engineering through the power of computation. Spread over eight weeks, the course falls under the domain of Aerospace engineering. 

The Computational Science in Engineering certification syllabus ensures that students understand the different engineering and science phenomena via simulations. They are taught the much-required mathematical modeling skills, efficient algorithms, numerical analysis, software design, computer architecture, and much more. 

The goal of the Computational Science in Engineering training is to let students explore the basics of scientific computing. This includes the framework observed in applied mathematics such as ODEs, Linear algebra, and PDEs. Students who sign up for this undergraduate course are taught by Professor Ashok De, Associate Professor, Department of Aerospace Engineering at IIT Kanpur currently 

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 ‘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 ‘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.

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 Modern Algebra certification course explores algebra's role in abstracting geometric concepts and numbers, offering insights into their fundamental properties and enabling manipulations beyond direct means. It caters to undergraduate science and engineering students over an 8-week duration, highlighting algebra's pivotal applications in real-world scenarios, especially within Computer Science and Engineering's foundational realm.

With the Modern Algebra certification by Swayam, students delve into algebra's abstract nature, grasping its profound implications on geometry and numeric principles. By manipulating these abstractions, the course showcases how algebra fuels real-life mathematical applications, serving as a vital toolset for problem-solving and computation in science, engineering, and computing disciplines.

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 Automata Theory online course is an advanced computer science course developed by Stanford University. It covers finite automata, regular languages, regular expressions, non-deterministic and deterministic automata. Your instructors will also discuss closure properties, decision properties, and pumping lemma for regular and context-free languages.

The Automata Theory certification syllabus covers the Tuning machine. It is a kind of automaton that defines recursively enumerable languages (languages defined reasonably by a computing device of any sort). The curriculum then moves on to the theory of intractability. You will gain expertise in NP-complete problems, a class of intractable problems, as well.

The video lectures are delivered in English, and to help learners follow along, English transcripts are also available. Though it is a self-paced learning programme, you should ideally be dedicating five-to-ten hours to the Automata Theory training. After completing the seven-week training, you can purchase a shareable completion certificate from edX. It will help you highlight all your achievements and increase your employability. Edx has 2 tracks namely the verified track and the audit track which allows the students to finish off the course. During the verified track, the candidates will get unlimited but paid access to the course materials. In the audit track, the candidates will be getting limited but free access to the course materials. 

Learn about the fundamental mathematical concepts of kinematics, calculus, projectile motion, trigonometric functions, vector calculations, and much more, in the A-level Mathematics for Year 13 Course 2 certification course. The Imperial College of London has designed this course to help you succeed in an A-level maths exam with an A* grade. 

The A-level Mathematics for Year 13 Course 2 syllabus delves deeply into topics like general motion, projectile motion, integration and differentiation methods, graphs, diagrams, mathematical symbols, equilibrium, and more, to polish your skills and make you fully prepared to pursue STEM degrees. This is a comprehensive training program that lasts for seven weeks. 

During the A-level Mathematics for Year 13 Course 2 online course, candidates will acquire 360-degree theoretical knowledge and develop skills like problem-solving, fluency, and confidence. Created by the Imperial College, this course is available on edX for free. Candidates can also opt for certification at the end of the programme. The course is 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 have unlimited access but they need to pay some amount.

The A-Level Mathematics for Year 12 online course is designed and provided by edX in partnership with Imperial College London.  The program aims to provide you with enough skills to help you ace your A-level maths examinations. Aside from the examination perspective, the course will also encourage you to apply your mathematical learnings to the wider mathematical world.

The A-Level Mathematics for Year 12 certification syllabus is divided into seven modules. These modules cover coordinate geometry, inequalities, polynomial theorems, statistics, graphs, curves, and much more. They are designed to imbue you with mathematical fluency and confidence, along with the ability to construct a well-reasoned mathematical argument and problem-solving prowess.

After completing the A-Level Mathematics for Year 12 by edX, you will have a deeper understanding of the techniques and skills you can apply during your A-level study. What’s more, you also have a chance to earn a course completion certificate at the end of the course. All you have to do is pay a minimal fee, and you’ll get a shareable, verified document that you can showcase to the world and improve your job prospects. Students may enroll in any of the tracks namely verified and audit tracks which may help the candidates learn the prgramme. During the audit track, learning is free for a limited time period whereas during the paid verified track learning can be done for an unlimited period of time.

In today’s world where technology has become a part of everyone's life without us even noticing it, Computer science plays a very important role. Because of this computer science has become a field where there is a maximum requirement of the workforce with the workers having the maximum level of skill and knowledge about the same. Every candidate who chooses to become a great programmer in the future aims to sharpen his/ her skill in computer science, for which they need to have a strong hand in their mathematical skills. 

The main aim of mathematics is that it helps in imparting the students with the art of analysing, understanding and reading any problem that arises and helps them to come up with an effective solution before it hinders their work or the programme. It gives the candidate great analytical skills by teaching them how to utilize algorithms.

This shows how important mathematics is for the candidate who opts for computer science. To upgrade these skills Coursera has come up with the Mathematics for Computer science course which will make the candidate field ready for their future and help them understand computer science in a perfect way.

The online program offered by edX imparts wisdom to the participants in the concepts like preconditioning, linearity, newton's local method, modeling, transformations, solving equations, newton's method, descent methods, optimality conditions, formulation, convexity, differentiability, one variable, several variables, inexact line search, preconditioned the steepest descent, conditioning, and quadratic functions.

The certificate is offered to the successful participants on course completion. The certificate has the signature of the instructor and it is verified by the institution. The Optimization: principles and algorithms - Unconstrained nonlinear optimization online course is offered by edX in association with EPFL. The candidates can easily complete the Optimization: principles and algorithms - Unconstrained nonlinear optimization certification course with only 6 to 8 hours of effort needed on a weekly basis.

Optimization: principles and algorithms - Unconstrained nonlinear optimization training is a self-paced course, meaning that it allows its candidates to learn and grow at their own pace and time. The introductory level course also includes the facility of financial aid so that any candidate’s financial instability doesn't come in their way to a promising career.

The Probability: Basic Concepts and Discrete Random Variables course has been formulated by the experts to provide the details of mathematical probability about data science as a domain. The programme will further help students to carve out a career in the field of data science and as actuarial scientists. 

The course contains- sample space, Bayes theorem, expected values, CDFs, conditional probability, and many more. The Probability: Basic Concepts and Discrete Random Variables online course discusses important models with respect o]to probability distribution models including- binomial distributions, Bernoulli theorem, negative binomial distribution, geometric distribution, possession distribution, and uniform distribution. The Probability: Basic Concepts and Discrete Random Variables training will introduce the enrolled applications with probability mass functions and joint distribution methods so that they can learn about mathematical probability in detail meet their expected career goals and gather more information in the area of science and computers.

This course is self-paced which means the students will be able to access the course content in their own preferred time. The candidates will only be getting a limited period to view and learn the course content in the audit mode whereas the verified track offers unlimited course access along with a certification of completion.

Probability: Basic Concepts and Discrete Random Variables Online Course helps candidates to learn about the different models involved in this field. It acts as an information booster for all the participants who want to brush up their skills and build their careers in the information sector. Different models have been given importance as this is the area where candidates find it difficult to understand the programme.

The experts will be guiding the candidates throughout the Probability: Basic Concepts and Discrete Random Variables Training. Assignments, projects, and quizzes are part of the learning which helps participants to know their learning and clear their doubts. The interconnection between the distribution has been well discussed in the Probability: Basic Concepts and Discrete Random Variables Certificate.

The Course also has an add-on where certificates will be given after they complete Probability: Basic Concepts and Discrete Random Variables certification. The certificate can be used in the future for better jobs and salary hikes. The participants shall have confidence in themselves for sharing their learning in the course. Edx offers two different tracks, out of which one may be chosen to finish the course. The audit access will be offered if the candidates want to finish the course for free, and that too without a certificate. On the other hand, the candidates who want unlimited access to te course content must pay for the verified track access, and get a certificate after course completion.

Calculus and differential equations make up the most essential concepts in engineering. The Engineering Calculus and Differential Equations certification syllabus will help you understand the ways to find out voltages and currents in connected network components or how an exploratory probe is launched by flight engineers.

Furthermore, the Engineering Calculus and Differential Equations course by Edx touches upon the fundamentals of single-variable calculus and ordinary differential equations. The course is application-oriented and helps in applying mathematical skills to solve real-world engineering problems. It will also help you control and monitor a system as per your needs.

The Engineering Calculus and Differential Equations online course is offered by the University of Hong Kong. The online course faculty includes professors Kwok Wing Chow and Kai Man Tsang, with experience in mathematics and mechanical engineering. The program also equips you with the skills to construct a simple model of change and to arrive at consequences. 

The candidates may enroll in this course for free or by paying a certain amount of money. There are 2 tracks namely verified or audit track which offers direct access to the course materials. If the candidates opt for the verified mode they are entitled to unlimited access and if they opt for the audit access, they are going to receive only limited access to the course materials.

Mathematics as a subject can be challenging for many students who often develop a negative view of the subject. However, a different approach towards math can help students learn it better and more efficiently. The How to Learn Math: For Students, an online course by edX aims to introduce a new approach towards learning maths effectively. 

The How to Learn Math certification is well-curated, boasting an information-rich curriculum covering various misconceptions often associated with mathematics. You will learn new learning techniques and strategies to help you form a positive view of the subject. 

edX's How to Learn Math program features several videos specially designed for interactive and engaging learning. This online course is free, and you do not require any prior knowledge to enroll. The prestigious Stanford University has been developed and will help you change your mindset towards maths. Besides, you can cover the How to Learn Math syllabus in a span of six weeks by putting in at least 1-3 hours of weekly study. 

Maths Subject Knowledge: Fractions, Decimals, and Percentages certification is a 6 weeks online course that is formulated by FutureLearn, and National STEM Learning Centre, and the accreditation is given by The CPD Certification Service. This course has been identified to cater to the needs of teachers who want to learn maths even when they don’t have any background in that subject so that they can teach the students with ease.

Maths Subject Knowledge: Fractions, Decimals, and Percentages certification syllabus include mathematical concepts like fractions, percentages, ratios, and decimals. Fractions can be a tricky concept to teach students, and this course makes it simpler to understand and then convert this knowledge to teaching.

Maths Subject Knowledge: Fractions, Decimals, and Percentages training will help the teachers to explore fractions so that new approaches can be considered for teaching, making it easier for their students to grasp the concepts and giving them a better understanding of other related concepts in maths. It will also help students gain content of the structure of maths behind fractions.

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Mathematics Certification Courses

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.

Optimization: principles and algorithms - Linear optimization course can act as the perfect opportunity for all the candidates who want to explore various concepts related to linear optimisation, duality & the simplex method. The content has been designed in a very carefully planned manner, to get the candidates thoroughly comfortable with the simplex method, its impact, and various applications. Optimization: principles and algorithms - Linear optimization program meticulously covers the conditions required for an optimal solution, which are necessary & contribute significantly to the swiftness of the operations and the overall learning of the course. 

Optimization: principles and algorithms - Linear optimization training course heavily relies on the concepts of linear algebra such as rank, matrices, pivoting, etc., and adding up on those concepts, further the theoretical knowledge and the real-world applications of the concepts. The 5-week self-paced course thoroughly covers all the basics, keeping the focus on the practical usage of the concepts and methods being mentioned as part of the course. Though the course is self-paced, the unlimited paid access to the course materials shall only be offered if the chosen track is verified. If the chosen track is audit the participants will get free course access for a limited time.