• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Coursera
  • Online Degrees
  • Careers
  • Log In
  • Join for Free
    Coursera
    • Browse
    • Abstract Algebra

    Abstract Algebra Courses Online

    Understand abstract algebra for advanced mathematical and computational applications. Study groups, rings, and fields.

    Skip to search results

    Filter by

    Subject
    Required
     *

    Language
    Required
     *

    The language used throughout the course, in both instruction and assessments.

    Learning Product
    Required
     *

    Build job-relevant skills in under 2 hours with hands-on tutorials.
    Learn from top instructors with graded assignments, videos, and discussion forums.
    Get in-depth knowledge of a subject by completing a series of courses and projects.
    Earn career credentials from industry leaders that demonstrate your expertise.
    Earn career credentials while taking courses that count towards your Master’s degree.
    Earn your Bachelor’s or Master’s degree online for a fraction of the cost of in-person learning.
    Earn a university-issued career credential in a flexible, interactive format.

    Level
    Required
     *

    Duration
    Required
     *

    Skills
    Required
     *

    Subtitles
    Required
     *

    Educator
    Required
     *

    Explore the Abstract Algebra Course Catalog

    • D

      DeepLearning.AI

      Réseaux neuronaux convolutifs

      Skills you'll gain: Computer Vision, Keras (Neural Network Library), Image Analysis, Deep Learning, Artificial Neural Networks, Tensorflow, Dimensionality Reduction, Applied Machine Learning, Network Architecture, Algorithms

      Intermediate · Course · 1 - 4 Weeks

    • P

      Packt

      Solidity Advanced: Secure Smart Contracts & DApp Development

      Skills you'll gain: Blockchain, Secure Coding, Application Security, Security Engineering, Software Design Patterns, Web Development Tools, Code Review, Debugging, Object Oriented Programming (OOP), Application Development, Transaction Processing

      Intermediate · Course · 1 - 4 Weeks

    • U

      University of Colorado Boulder

      Analytical Mechanics for Spacecraft Dynamics

      Skills you'll gain: Engineering Analysis, Vibrations, Mechanics, Finite Element Methods, Differential Equations, Applied Mathematics, Mathematical Modeling, Linear Algebra, Calculus

      4.8
      Rating, 4.8 out of 5 stars
      ·
      10 reviews

      Advanced · Course · 1 - 4 Weeks

    • T

      The State University of New York

      Player Evaluation, Team Performance and Roster Management

      Skills you'll gain: Performance Analysis, Analytics, Data-Driven Decision-Making, Data Analysis, Scheduling, Labor Relations, Team Performance Management, Linear Algebra, Contract Management, Contract Negotiation, R Programming

      5
      Rating, 5 out of 5 stars
      ·
      6 reviews

      Beginner · Course · 1 - 3 Months

    • P

      Packt

      Advanced Semantic Processing

      Skills you'll gain: Natural Language Processing, Semantic Web, Data Processing, Text Mining, Applied Machine Learning, Dimensionality Reduction, Unstructured Data, Artificial Neural Networks, Feature Engineering, Linear Algebra, Unsupervised Learning, Statistical Methods

      Intermediate · Course · 1 - 4 Weeks

    • D

      DeepLearning.AI

      الشبكات العصبونية الالتفافية

      Skills you'll gain: Image Analysis, Computer Vision, Deep Learning, Artificial Neural Networks, Tensorflow, PyTorch (Machine Learning Library), Applied Machine Learning, Machine Learning Methods, Algorithms

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free
      Free
      V

      Vanderbilt University

      MATLAB을 사용한 프로그래밍 소개

      Skills you'll gain: Programming Principles, Computer Programming, Matlab, Debugging, Integrated Development Environments, Linear Algebra, Computer Science, Development Environment, User Interface (UI), Data Import/Export, Data Structures, File Management

      5
      Rating, 5 out of 5 stars
      ·
      6 reviews

      Beginner · Course · 1 - 3 Months

    • Status: New
      New
      P

      Packt

      Advanced Object-Oriented & Generic Programming in C++

      Skills you'll gain: C++ (Programming Language), Object Oriented Programming (OOP), Software Design Patterns, Data Structures, Algorithms, File Systems, Debugging, Maintainability

      Intermediate · Course · 1 - 3 Months

    • U

      University of Colorado Boulder

      Attitude Control with Momentum Exchange Devices

      Skills you'll gain: Control Systems, Vibrations, Simulations, Mechanics, Angular, Engineering Analysis, Torque (Physics), Mathematical Modeling, Linear Algebra, Differential Equations, Calculus

      Advanced · Course · 1 - 3 Months

    • H

      Howard University

      Capstone: Data Science Problem in Linear Algebra Framework

      Skills you'll gain: Data Wrangling, Regression Analysis, Data Manipulation, Dimensionality Reduction, Data Science, Python Programming, Predictive Modeling, Statistical Modeling, Data Analysis, Linear Algebra

      4.4
      Rating, 4.4 out of 5 stars
      ·
      8 reviews

      Mixed · Course · 1 - 4 Weeks

    • J

      Johns Hopkins University

      Data Science Decisions in Time: Using Causal Information

      Skills you'll gain: Precision Medicine, Clinical Trials, Data Analysis, Data-Driven Decision-Making, Analytics, Decision Tree Learning, Business Analytics, Data Science, Strategic Decision-Making, Regression Analysis, Random Forest Algorithm, Medical Science and Research, Treatment Planning, Personalized Service, A/B Testing, Machine Learning, Online Advertising

      Intermediate · Course · 1 - 3 Months

    • U

      University of Glasgow

      Computational Thinking with JavaScript 2: Model & Analyse

      Skills you'll gain: JSON, Data Structures, Computational Thinking, Data Analysis, Data Visualization Software, Scripting Languages, Scripting, Javascript, Data Processing, Unsupervised Learning, Data Science, Data Modeling, Machine Learning, Programming Principles, Algorithms

      Beginner · Course · 1 - 4 Weeks

    1…282930…32

    In summary, here are 10 of our most popular abstract algebra courses

    • Réseaux neuronaux convolutifs: DeepLearning.AI
    • Solidity Advanced: Secure Smart Contracts & DApp Development: Packt
    • Analytical Mechanics for Spacecraft Dynamics: University of Colorado Boulder
    • Player Evaluation, Team Performance and Roster Management: The State University of New York
    • Advanced Semantic Processing: Packt
    • الشبكات العصبونية الالتفافية: DeepLearning.AI
    • MATLAB을 사용한 프로그래밍 소개: Vanderbilt University
    • Advanced Object-Oriented & Generic Programming in C++: Packt
    • Attitude Control with Momentum Exchange Devices: University of Colorado Boulder
    • Capstone: Data Science Problem in Linear Algebra Framework: Howard University

    Skills you can learn in Probability And Statistics

    R Programming (19)
    Inference (16)
    Linear Regression (12)
    Statistical Analysis (12)
    Statistical Inference (11)
    Regression Analysis (10)
    Biostatistics (9)
    Bayesian (7)
    Logistic Regression (7)
    Probability Distribution (7)
    Bayesian Statistics (6)
    Medical Statistics (6)

    Frequently Asked Questions about Abstract Algebra

    Abstract Algebra courses on Coursera teach critical mathematical skills and concepts that are foundational in higher mathematics:

    • Understanding and working with algebraic structures such as groups, rings, and fields.
    • Developing skills in reasoning and logical thinking through proofs and problem-solving.
    • Techniques for solving polynomial equations and analyzing their structures.
    • Application of algebraic theories to other areas of mathematics like number theory and geometry.
    • Exploration of symmetry, transformation, and their mathematical implications.‎

    Abstract Algebra courses are generally suited for those with some mathematical background:

    • Beginners in the realm of advanced mathematics might need introductory courses in linear algebra or calculus before starting Abstract Algebra.
    • Intermediate learners who have a basic understanding of college-level mathematics can begin exploring fundamental concepts in Abstract Algebra.
    • Advanced students or professionals who already have experience in mathematics can dive into more complex topics and applications within the field.

    These courses are structured to help learners of varying levels gain a deep understanding of algebraic structures and their applications.‎

    Completing Abstract Algebra courses on Coursera can lead to various academic and professional enhancements:

    • Certificates of completion that demonstrate your understanding of complex mathematical concepts.
    • Professional certificates that can be integral to academic progression or careers in mathematics, science, or engineering.
    • Specializations that focus deeply on specific aspects of Abstract Algebra or its applications in other scientific disciplines.

    These credentials can be particularly valuable for students pursuing graduate studies or professionals in scientific and technological fields where advanced mathematics is crucial. ‎

    Skills acquired from Abstract Algebra courses are highly valued in numerous advanced academic and research-oriented careers:

    • Academic careers in mathematics, where you can contribute to teaching and advanced research.
    • Roles in cryptography and security analysis, where algebraic concepts are applied to develop new encryption methods.
    • Computational sciences, including algorithm design and software development, where abstract algebraic principles are increasingly employed.
    • Engineering fields, particularly those that involve signal processing, control theory, and robotics, which use algebraic structures to model complex systems.
    • Financial sectors that utilize algebra for quantitative analysis and financial modeling.

    Skills in Abstract Algebra can significantly enhance your analytical capabilities, opening up opportunities in fields that rely on high-level mathematics. ‎

    This FAQ content has been made available for informational purposes only. Learners are advised to conduct additional research to ensure that courses and other credentials pursued meet their personal, professional, and financial goals.

    Other topics to explore

    Arts and Humanities
    338 courses
    Business
    1095 courses
    Computer Science
    668 courses
    Data Science
    425 courses
    Information Technology
    145 courses
    Health
    471 courses
    Math and Logic
    70 courses
    Personal Development
    137 courses
    Physical Science and Engineering
    413 courses
    Social Sciences
    401 courses
    Language Learning
    150 courses

    Coursera Footer

    Technical Skills

    • ChatGPT
    • Coding
    • Computer Science
    • Cybersecurity
    • DevOps
    • Ethical Hacking
    • Generative AI
    • Java Programming
    • Python
    • Web Development

    Analytical Skills

    • Artificial Intelligence
    • Big Data
    • Business Analysis
    • Data Analytics
    • Data Science
    • Financial Modeling
    • Machine Learning
    • Microsoft Excel
    • Microsoft Power BI
    • SQL

    Business Skills

    • Accounting
    • Digital Marketing
    • E-commerce
    • Finance
    • Google
    • Graphic Design
    • IBM
    • Marketing
    • Project Management
    • Social Media Marketing

    Career Resources

    • Essential IT Certifications
    • High-Income Skills to Learn
    • How to Get a PMP Certification
    • How to Learn Artificial Intelligence
    • Popular Cybersecurity Certifications
    • Popular Data Analytics Certifications
    • What Does a Data Analyst Do?
    • Career Development Resources
    • Career Aptitude Test
    • Share your Coursera Learning Story

    Coursera

    • About
    • What We Offer
    • Leadership
    • Careers
    • Catalog
    • Coursera Plus
    • Professional Certificates
    • MasterTrack® Certificates
    • Degrees
    • For Enterprise
    • For Government
    • For Campus
    • Become a Partner
    • Social Impact
    • Free Courses
    • ECTS Credit Recommendations

    Community

    • Learners
    • Partners
    • Beta Testers
    • Blog
    • The Coursera Podcast
    • Tech Blog
    • Teaching Center

    More

    • Press
    • Investors
    • Terms
    • Privacy
    • Help
    • Accessibility
    • Contact
    • Articles
    • Directory
    • Affiliates
    • Modern Slavery Statement
    • Manage Cookie Preferences
    Learn Anywhere
    Download on the App Store
    Get it on Google Play
    Logo of Certified B Corporation
    © 2025 Coursera Inc. All rights reserved.
    • Coursera Facebook
    • Coursera Linkedin
    • Coursera Twitter
    • Coursera YouTube
    • Coursera Instagram
    • Coursera TikTok