List of Online Courses and Certifications

Certificate

Algebra-II

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.

12 Weeks

₹ Free

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Certificate

Algebra - I

The ‘Algebra - I’ online certification program is a core course for the students of mathematics that is focused on delivering the students insights on the foundational concepts of algebra. This free online course is provided by Swayam educational platform in collaboration with the National Programme on Technology Enhanced Learning (NPTEL). The course classes are held online in a virtual environment through videos, lectures, online resources, and assessments. The students of this course will take about twelve weeks to complete the course.

The instructors for this online training program are mathematics faculties from The Institute of Mathematical Sciences in Chennai, Prof. S Viswanath, and Prof. Amritanshu Prasad. The candidates of this mathematics course will gain a comprehensive understanding of the theoretical and practical aspects of algebra in this course.

By the end of this postgraduate level course, the students of the ‘Algebra - I’ training program will be given E-Certificate with the credit points.

12 Weeks

₹ Free

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Certificate

An invitation to Topology

An invitation to Topology certification by IMSC via Swayam is a 12-week online course. Through this online certification course, students will be exposed to the investigation and formalization of the abstract notion of a “space” under a minimum set-theoretic structure, known as a topology. An invitation to Topology certification syllabus provides foundational theory in topology which plays a crucial role in modern mathematics, and by extension, other mathematical sciences. This is a free course and anyone interested in learning topology can enrol in this online course offered by the Institute of Mathematical Sciences, Chennai (IMSC) via Swayam.

Spread across 12 weeks, An invitation to Topology online course equips learners with the concepts of Topological spaces, Subspace Topology, Box and Product topology, and Metric topology. The course also provides a certificate on the completion of the exam which is conducted at the designated exam centres.

12 Weeks

₹ Free

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Certificate

Algebraic Combinatorics

The Algebraic Combinatorics certification by the Institute of Mathematical Sciences (IMSc), Chennai is designed to introduce students to some influential paradigms in modern combinatorics. They are combinatorial classes and combinatorial species, Möbius inversion on partially ordered sets, and the Lindström-Gessel-Viennot lemma. The Algebraic Combinatorics training course is a 12-week online course delivered via Swayam. The Algebraic Combinatorics certification syllabus also provides learners with the theory of symmetric functions.

Students from science and engineering backgrounds having studied mathematics and computer science are best suited for the Algebraic Combinatorics certification course. The course will be taught by two instructors covering powerful paradigms in modern combinatorics. There are three credit points in the Algebraic Combinatorics online course that will be awarded to students after completion of the course. Students will also receive a certificate upon successful completion of the final exam.

12 Weeks

₹ Free

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Certificate

Functional Analysis

The Functional Analysis certification course is a postgraduate level programme in the field of mathematics. The online course mainly focuses on learning partial differential equations with a modern perspective in addition to other topics. The course covers all the fundamental and important theorems, normed linear spaces, and weak topology, etc. The course would be perfect for those candidates who are pre equipped with the information of basic linear algebra and topology. The course deals with 12 different topics that are covered every week.

Candidates who would want to pursue this Functional Analysis online course will get to collect information on linear transformations, different theorems, reflexivity, some practical examples, etc. Candidates would be offered a certificate at the end of the course if they choose to pay for the exam fees and qualify for the exam with passing grades. Candidates can take up this course at any time and there is no rush to complete the Functional Analysis certification syllabus since it is a self-paced online course. The course is provided by IIT, Madras and mentored by the faculty member of the Institute of Mathematical Sciences, Chennai.

12 Weeks

₹ Free

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Certificate

Laplace Transform

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

4 Weeks

₹ Free

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