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    • Abstract Algebra

    Abstract Algebra Courses Online

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

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    Explore the Abstract Algebra Course Catalog

    • Status: Free Trial
      Free Trial
      J

      Johns Hopkins University

      Linear Algebra from Elementary to Advanced

      Skills you'll gain: Linear Algebra, Applied Mathematics, Algebra, Image Analysis, Applied Machine Learning, Engineering Calculations, Geometry, Advanced Mathematics, Mathematical Modeling, Markov Model, Numerical Analysis, Data Transformation

      4.7
      Rating, 4.7 out of 5 stars
      ·
      195 reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      J

      Johns Hopkins University

      Algebra: Elementary to Advanced

      Skills you'll gain: Graphing, Algebra, Mathematical Modeling, Predictive Modeling, Arithmetic, Advanced Mathematics, Applied Mathematics, Linear Algebra, Business Mathematics, Geometry, Scientific Methods

      4.8
      Rating, 4.8 out of 5 stars
      ·
      749 reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: New
      New
      J

      Johns Hopkins University

      Honors Algebra 2: Linear and Quadratic Functions

      Skills you'll gain: Algebra, Correlation Analysis, Linear Algebra, Mathematical Modeling, Graphing, Applied Mathematics, Regression Analysis

      Beginner · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      T

      The Hong Kong University of Science and Technology

      Matrix Algebra for Engineers

      Skills you'll gain: Linear Algebra, Engineering Calculations, Algebra, Advanced Mathematics, Engineering Analysis, General Mathematics, Applied Mathematics

      4.9
      Rating, 4.9 out of 5 stars
      ·
      4.6K reviews

      Beginner · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      J

      Johns Hopkins University

      Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors

      Skills you'll gain: Linear Algebra, Applied Mathematics, Algebra, Advanced Mathematics, Markov Model

      4.8
      Rating, 4.8 out of 5 stars
      ·
      72 reviews

      Mixed · Course · 1 - 3 Months

    • Status: Preview
      Preview
      S

      Stanford University

      Introduction to Mathematical Thinking

      Skills you'll gain: Mathematical Theory & Analysis, Mathematics and Mathematical Modeling, Deductive Reasoning, Calculus, Logical Reasoning, Computational Logic, General Mathematics

      4.8
      Rating, 4.8 out of 5 stars
      ·
      3K reviews

      Intermediate · Course · 1 - 3 Months

    What brings you to Coursera today?

    • Status: Free Trial
      Free Trial
      U

      University of California San Diego

      Introduction to Discrete Mathematics for Computer Science

      Skills you'll gain: Graph Theory, Combinatorics, Computational Logic, Computational Thinking, Probability, Theoretical Computer Science, Logical Reasoning, Deductive Reasoning, Cryptography, Probability & Statistics, Public Key Cryptography Standards (PKCS), Arithmetic, Algorithms, Mathematical Modeling, Network Analysis, Encryption, Data Structures, Mathematical Theory & Analysis, Operations Research, Computer Security

      4.5
      Rating, 4.5 out of 5 stars
      ·
      3.7K reviews

      Beginner · Specialization · 3 - 6 Months

    • T

      The University of Sydney

      Introduction to Advanced Calculus

      Skills you'll gain: Differential Equations, Calculus, Integral Calculus, Advanced Mathematics, Mathematical Theory & Analysis, Engineering Calculations, Numerical Analysis, Linear Algebra, Mathematical Modeling, Geometry, Physics, Derivatives

      4.7
      Rating, 4.7 out of 5 stars
      ·
      15 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Preview
      Preview
      W

      Wesleyan University

      Introduction to Complex Analysis

      Skills you'll gain: Integral Calculus, Mathematical Theory & Analysis, Geometry, Algebra, Calculus, Advanced Mathematics, General Mathematics, Trigonometry, Graphing, Derivatives

      4.8
      Rating, 4.8 out of 5 stars
      ·
      1.1K reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of California San Diego

      Data Structures and Algorithms

      Skills you'll gain: Data Structures, Graph Theory, Algorithms, Computational Thinking, Bioinformatics, Network Model, Advanced Mathematics, Computer Programming, Theoretical Computer Science, Program Development, Operations Research, System Design and Implementation, Network Analysis, Network Routing, Programming Principles, Linear Algebra, Text Mining, C (Programming Language), Software Testing, Debugging

      4.6
      Rating, 4.6 out of 5 stars
      ·
      17K reviews

      Intermediate · Specialization · 3 - 6 Months

    • Status: Preview
      Preview
      S

      Shanghai Jiao Tong University

      Discrete Mathematics

      Skills you'll gain: Graph Theory, Combinatorics, Theoretical Computer Science, Mathematical Theory & Analysis, Network Analysis, Advanced Mathematics, Computer Science, Data Structures, Algorithms, Computational Thinking, Probability

      3.3
      Rating, 3.3 out of 5 stars
      ·
      199 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free
      Free
      P

      Princeton University

      Analysis of Algorithms

      Skills you'll gain: Algorithms, Combinatorics, Theoretical Computer Science, Mathematical Theory & Analysis, Data Structures, Mathematical Modeling, Advanced Mathematics, Probability

      4.4
      Rating, 4.4 out of 5 stars
      ·
      1K reviews

      Advanced · Course · 1 - 3 Months

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

    • Linear Algebra from Elementary to Advanced: Johns Hopkins University
    • Algebra: Elementary to Advanced: Johns Hopkins University
    • Honors Algebra 2: Linear and Quadratic Functions: Johns Hopkins University
    • Matrix Algebra for Engineers: The Hong Kong University of Science and Technology
    • Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors: Johns Hopkins University
    • Introduction to Mathematical Thinking: Stanford University
    • Introduction to Discrete Mathematics for Computer Science: University of California San Diego
    • Introduction to Advanced Calculus: The University of Sydney
    • Introduction to Complex Analysis: Wesleyan University
    • Data Structures and Algorithms: University of California San Diego

    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.

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