Abstract Algebra Courses and Certifications

Math Sorcerer

9 Hours of Mathematical Proofs for Self Study - Topology, Analysis, Complex Variables, Abstract Algebra, Number Theory, and Advanced Calculus

Dive into comprehensive mathematical proofs spanning topology, analysis, complex variables, abstract algebra, number theory, and advanced calculus for intensive self-study.

• YouTube
• 8 hours 10 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Linear Spaces and Spans I - Abstract Algebra Math Foundations 219

Introduction to linear spaces and spans, generalizing natural numbers with addition to form spans of multisets. Explores fundamental concepts in abstract algebra and linear algebra.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Strange Loop Conference

Add ALL the Things - Abstract Algebra Meets Analytics

Explore how abstract algebra principles apply to analytics systems, enhancing distributed and real-time aggregation efficiency through group theory laws and practical coding examples.

• YouTube
• 38 minutes
• Self-Paced
• Conference Talk

近世代数

Master fundamental concepts of modern algebra, from group theory and ring theory to polynomial rings and finite fields, building strong mathematical foundations for applications in computer science and information theory.

• XuetangX
• Self-Paced
• Free Online Course

Mathematical Thinking for Advanced Mathematics

Explore mathematical thinking processes—generalization, unification, visual reasoning, and axiomatic systems—to excel in advanced math courses and research in engineering, computer science, and beyond.

• Coursera
• 8 weeks, 3 hours a week
• Self-Paced
• Paid Course

CSET Math Subtest 1 (211) Study Guide & Practice Test

Comprehensive preparation for CSET Math Subtest 1, covering real numbers, algebra, functions, and more. Includes study tips, practice tests, and flashcards for effective exam readiness.

• Study.com
• 13 hours
• Self-Paced
• Paid Course

Project Laboratory in Mathematics

Explore the world of mathematical research through team-based problem-solving, uncovering patterns and explaining them rigorously, while developing skills in professional academic writing and presentations.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Instituto de Matemática Pura e Aplicada

Mestrado: Álgebra I - Aula 13 (22/05/2025)

Explore Euclidean rings, Gaussian integers, factorial rings, Eisenstein's criterion, Gauss's lemma, and other advanced algebraic concepts in this comprehensive graduate-level algebra lecture by Eduardo Esteves.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Mestrado: Álgebra I - Aula 14 (26/05/2025)

Explore Euclidean rings, Gaussian integers, factorial rings, Eisenstein's criterion, Gauss's lemma, and symmetric polynomials in this advanced algebra lecture by Eduardo Esteves.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

3Blue1Brown

Group Theory, Abstraction, and the 196,883-Dimensional Monster

Explore group theory, abstraction, and the fascinating 196,883-dimensional monster group in this engaging introduction to mathematical symmetry and classification.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Rings and polynomials

2 ratings at OpenLearn

This free course contains an introduction to rings and polynomials. We see that polynomial rings have many properties in common with the integers; for example, we can define a division algorithm, ...

• OpenLearn
• 16 hours
• Self-Paced
• Free Certificate

ACM SIGPLAN

The Sparse Abstract Machine: A Model for Sparse Tensor Algebra on Dataflow Accelerators

Explore the Sparse Abstract Machine (SAM) for targeting sparse tensor algebra to spatial dataflow accelerators, including its streaming dataflow abstraction and compiler implementation.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

Discrete Mathematics - IIITB

Explore mathematical structures used in computer science, covering logic, set theory, combinatorics, graph theory, and number theory. Develop problem-solving and reasoning skills.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

网络安全理论与实践

Discover cryptographic principles through RSA, Elgamal, and elliptic curve algorithms while mastering essential number theory and abstract algebra foundations for network security.

• XuetangX
• Self-Paced
• Free Online Course

IMSC;  NPTEL

Algebra - I

Comprehensive postgraduate-level algebra course covering groups, rings, modules, and their applications. Ideal for M.Sc and first-year PhD mathematics students seeking a strong foundation in abstract algebra.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course