Online Mathematics Courses & Certifications

The ‘Our Mathematical Senses Part 1: Geometry of Vision’ online course is offered for the students to gain perspectives of the geometrical space around us and also know about the various mathematical concepts and theories associated with geometric and topological space. This online certification course is provided by the Swayam education portal, an initiative of the government of India, and the National Programme on Technology Enhanced Learning (NPTEL). 

The duration of this program is scheduled for four weeks and this is an elective course for the students of undergraduate level. This mathematics course is led by the course instructor Prof. Vijay Ravikumar(mathematician and artist) at the Chennai Mathematical Institute. The students of this program are enabled to acquire both theoretical and practical knowledge of the concepts through the virtual and experiential learning mode. 

The ‘Our Mathematical Senses Part 1: Geometry of Vision’ training course equips students with the course certificate and academic course credits after successful completion of the course.

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. 

Maths Subject Knowledge: Understanding Numbers certification course is a one-month short course whose content has been developed by the National STEM Learning Centre, and its achievement certificate is bestowed by FutureLearn. This teaching course helps secondary Teachers improve their knowledge of Mathematics involving numbers. 

Maths Subject Knowledge: Understanding Numbers certification syllabus inculcates the knowledge of using numbers every day, and appreciate the use of it. There are many interesting patterns and connections that can be explored once candidates jump onto the structure of mathematics and the ways in which simple numbers can work.

Maths Subject Knowledge: Understanding Numbers training will help develop an understanding of the relationship between different areas in maths so that these interconnections can be judged based on their nature. Spending a time of just 3 hours in a week will be sufficient enough for the candidates to get done with the training of this accredited course.

Also Read:
Maths Subject Knowledge: Proportion, Ratio, and Scaling

The Quantitative Formal Modeling and Worst-Case Performance Analysis online course by Coursera is curated by EIT Digital. This self-paced course is designed to teach you about solving performance problems and modelling in a theoretical Computer Science method.

During the Quantitative Formal Modeling and Worst-Case Performance Analysis certification course, you will sharpen your abstract thinking skills. Also, you will become proficient in performing a worst-case analysis of fundamental metrics such as buffering, latency and throughput.

The Quantitative Formal Modeling and Worst-Case Performance Analysis syllabus comprises 17-hours worth of extensive content, including video lectures, quizzes, reading material and practice exercises. You will study all this high-quality content over three weeks. 

With the help of Coursera’s Quantitative Formal Modeling and Worst-Case Performance Analysis programme, you will explore concepts such as scheduling of token production/consumption systems, timing, Petri-nets, etc. You will become trained in thinking about systems in the context of token consumption and production.

Vedic Mathematics is a collection of Sutras or Techniques used to solve arithmetic problems in an easy and faster way. It comprises 16 Sutras (Formulae) and 13 sub-sutras (Sub-Formulae) that find their application in arithmetic, geometry, algebra, calculus, and conics. If you wish to solve mathematical problems in a faster and less tedious way, the Vedic Mathematics course by IIIT, Surat, is for you.

The Vedic Mathematics programme is organised by IIIT, Surat, in collaboration with Karnataka Sanskrit University, Bangalore. This course will be conducted for learners currently undergoing their degree education and all others interested in learning Vedic Maths. However, only a limited number of seats are available.

Upon completing the Vedic Mathematics online course, you will get a certificate based on the evaluation report from the subject expert. The curriculum will be mentored by Sumangala M Dandewale, a renowned Vedic Mathematics teacher from the Kursh Gyan Foundation.

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.

Geometric problems have always been solved via geometric algorithms. Functioning using geometric algorithms requires a thorough understanding of numerous mathematical topics, including algebra, differential geometry, topology, combinatorial optimization, etc. The Geometric Algorithms certification course was developed by EID Digital and is offered through Coursera, which is instructed by Dr. Kevin Buchin, a professor of mathematics and computer science at the Eindhoven University of Technology.

The Geometric Algorithms online course provides the methods and ideas required for the creation and study of geometric algorithms and data structures and covers the algorithmic aspects of computer science, computer graphics, robotics, and virtual reality. The Geometric Algorithms online classes provide 2 weeks of in-depth video lectures covering the fundamentals of line sweep algorithms, plane sweep algorithms, and numerous triangulations. By the completion of the course, applicants will be capable of selecting the algorithm or data structure that should be applied to study a given problem and find a solution.

Data Science Math Skills certification is a 10 hours online course that is divided into 1 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 Workshop on Bifurcations and Chaos Computations and Applications course is a comprehensive programme that is designed to equip participants with a deep understanding of nonlinear dynamics, focusing on bifurcation theory and chaotic systems. This Workshop on Bifurcations and Chaos Computations and Applications course is being offered by the Department of Mathematics at the Indian Institute of Technology Indore (IIT Indore). This Workshop on Bifurcations and Chaos Computations and Applications course is being sponsored by the Science and Engineering Research Board (SERB) under the KARYASHALA scheme.

The duration of this Workshop on Bifurcations and Chaos Computations and Applications course is seven days. This Workshop on Bifurcations and Chaos Computations and Applications course aims to enhance skill development in emerging areas of scientific research. The participants will engage in a series of modules covering theoretical and practical computational techniques related to dynamical systems. This Workshop on Bifurcations and Chaos Computations and Applications course is structured to benefit postgraduate students and PH.D. scholars.

The Matrix Computation certification course is an online programme offered by the Department of Mathematics, IIT Indore to educate the learners about the applications of matrix computations in today’s industry. The course allows the students to gain the necessary skills and learn various theories, algorithms, and methods that fall under the subject. The certification programme primarily taps into the wavelet theories that are carried forward from the undergraduate syllabus. 

Through the Matrix Computation training, students will be able to get the upper hand on the numerous systems, software, and problems in computations. After finishing the course, they will be capable of tackling the problems using various matrix applications. The programme comprises online lectures and high-quality learning content.

Matrix Computation and its Application online course is a six-day programme. The students will be able to learn under highly trained and qualified professionals. After finishing the programme, students will be rewarded with a certificate to showcase their skills. Moreover, the certificate will allow the learners to grab rewarding employment opportunities in the future.

The Multiscale Materials Informatics, Discovery and Design programme by IIT Bombay revolves around learning from accelerated design of materials and materials data. Here, ‘material’ indicates a unit cell with regard to atomistic. This material is also in the context of an RVE at a bigger length scale, for example, in multiphase materials or foams. 

This continuing education programme (CEP) also discusses ‘discovery,’ which means finding new materials via existing datasets. Moreover, the Multiscale Materials Informatics, Discovery and Design course also involve ‘design,’ which applies to thoroughly plan exercises of creating new RVE-optimised or new material against given applications (or properties). 

The Multiscale Materials Informatics, Discovery and Design programme syllabus begins with the very basics and proceeds to teaching advanced computational procedures of material design. You will learn how these methods are conducted via machine learning across numerous length scales. 

What’s more, IIT Bombay provides access to the required programmes via a High-Performance Computing Cluster. This Multiscale Materials Informatics, Discovery and Design course is meant for students (masters, PhD, undergraduates), industry practitioners, and faculty members.