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Abstract Algebra Courses

Abstract Algebra courses can help you learn group theory, ring theory, field theory, and the structure of mathematical systems. You can build skills in problem-solving, logical reasoning, and abstract thinking, which are crucial for tackling complex mathematical challenges. Many courses introduce tools like computational software for algebraic calculations and visualization techniques that aid in understanding algebraic structures and their applications in cryptography, coding theory, and computer science.


Popular Abstract Algebra Courses and Certifications


  • Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Algebra: Elementary to Advanced

    Skills you'll gain: Algebra, Mathematical Modeling, Graphing, Arithmetic, Advanced Mathematics, Applied Mathematics, General Mathematics, Analytical Skills, Probability & Statistics, Geometry

    4.8
    Rating, 4.8 out of 5 stars
    ·
    796 reviews

    Beginner · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Linear Algebra from Elementary to Advanced

    Skills you'll gain: Linear Algebra, Algebra, Applied Mathematics, Advanced Mathematics, Artificial Intelligence and Machine Learning (AI/ML), Mathematical Modeling, Engineering Analysis, Mathematical Theory & Analysis, Numerical Analysis, Geometry, Data Transformation, Applied Machine Learning, Dimensionality Reduction, Markov Model, Probability

    4.7
    Rating, 4.7 out of 5 stars
    ·
    218 reviews

    Beginner · Specialization · 3 - 6 Months

  • Status: New
    New
    Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Honors Algebra 2: Series, Trigonometry, and Probability

    Skills you'll gain: Trigonometry, Probability, Data Analysis, Algebra, Probability Distribution, Descriptive Statistics, Mathematical Modeling, Graphing, Statistics, Geometry, Arithmetic

    Beginner · Course · 1 - 4 Weeks

  • T

    The University of Sydney

    Introduction to Linear Algebra

    Skills you'll gain: Linear Algebra, Markov Model, Geometry, Arithmetic, Algebra, General Mathematics, Advanced Mathematics, Probability, Mathematics and Mathematical Modeling, Mathematical Theory & Analysis, Mathematical Modeling, Applied Mathematics, Statistical Methods, Vector Databases, Engineering Analysis, Computational Logic

    4.8
    Rating, 4.8 out of 5 stars
    ·
    38 reviews

    Intermediate · Course · 1 - 4 Weeks

  • T

    The University of Sydney

    Introduction to Advanced Calculus

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

    4.6
    Rating, 4.6 out of 5 stars
    ·
    25 reviews

    Intermediate · 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, Engineering Analysis, General Mathematics, Advanced Mathematics, Applied Mathematics, Arithmetic, Computational Logic

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

    Beginner · Course · 1 - 4 Weeks

What brings you to Coursera today?

  • Status: Preview
    Preview
    W

    Wesleyan University

    Introduction to Complex Analysis

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

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

    Intermediate · Course · 1 - 3 Months

  • Status: Preview
    Preview
    S

    Shanghai Jiao Tong University

    Discrete Mathematics

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

    3.3
    Rating, 3.3 out of 5 stars
    ·
    202 reviews

    Intermediate · Course · 1 - 3 Months

  • 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, Geometry, Data Transformation, Applied Machine Learning, Dimensionality Reduction, Markov Model, Probability

    4.8
    Rating, 4.8 out of 5 stars
    ·
    76 reviews

    Mixed · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Essential Linear Algebra for Data Science

    Skills you'll gain: Linear Algebra, Applied Mathematics, Data Science, Data Analysis, Statistical Methods, Algebra, Numerical Analysis

    4.5
    Rating, 4.5 out of 5 stars
    ·
    185 reviews

    Intermediate · Course · 1 - 3 Months

  • Status: Preview
    Preview
    J

    Johns Hopkins University

    Foundational Mathematics for AI

    Skills you'll gain: Descriptive Statistics, Linear Algebra, Exploratory Data Analysis, Data-Driven Decision-Making, Data Analysis, Artificial Intelligence, Probability, Regression Analysis, Calculus, Statistical Analysis, Advanced Mathematics, Applied Mathematics, Probability Distribution, Mathematical Modeling, Statistical Modeling, Machine Learning Algorithms, Dimensionality Reduction

    4.9
    Rating, 4.9 out of 5 stars
    ·
    10 reviews

    Beginner · Course · 1 - 3 Months

  • Status: Preview
    Preview
    S

    Stanford University

    Introduction to Logic

    Skills you'll gain: Logical Reasoning, Computational Logic, Deductive Reasoning, Computational Thinking, Problem Solving, Business Logic, Complex Problem Solving, Decision Making

    4.4
    Rating, 4.4 out of 5 stars
    ·
    655 reviews

    Intermediate · Course · 1 - 3 Months

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

  • Algebra: Elementary to Advanced: Johns Hopkins University
  • Linear Algebra from Elementary to Advanced: Johns Hopkins University
  • Honors Algebra 2: Series, Trigonometry, and Probability: Johns Hopkins University
  • Introduction to Linear Algebra: The University of Sydney
  • Introduction to Advanced Calculus: The University of Sydney
  • Matrix Algebra for Engineers: The Hong Kong University of Science and Technology
  • Introduction to Complex Analysis: Wesleyan University
  • Discrete Mathematics: Shanghai Jiao Tong University
  • Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors: Johns Hopkins University
  • Essential Linear Algebra for Data Science: University of Colorado Boulder

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 is a branch of mathematics that studies algebraic structures such as groups, rings, and fields. It is important because it provides a framework for understanding various mathematical concepts and their applications in different fields, including physics, computer science, and cryptography. By exploring abstract algebra, learners can develop critical thinking and problem-solving skills that are essential in both academic and professional settings.‎

Careers related to abstract algebra can be diverse, ranging from academia to industry. Some potential job roles include mathematician, data analyst, software developer, and cryptographer. These positions often require a strong foundation in mathematical theory and the ability to apply abstract concepts to real-world problems. Additionally, roles in research and development in technology companies may also benefit from knowledge in abstract algebra."‎

To learn abstract algebra effectively, you should focus on developing a solid understanding of fundamental mathematical concepts, including set theory, functions, and basic algebra. Familiarity with linear algebra can also be beneficial. Key skills include logical reasoning, analytical thinking, and the ability to work with abstract concepts. Engaging with problem sets and collaborating with peers can further enhance your learning experience.‎

Some of the best online courses for learning abstract algebra include the Algebra: Elementary to Advanced Specialization and the Honors Algebra 2 Specialization. These courses cover a range of topics and provide a structured approach to mastering the principles of abstract algebra.‎

Yes. You can start learning abstract algebra on Coursera for free in two ways:

  1. Preview the first module of many abstract algebra courses at no cost. This includes video lessons, readings, graded assignments, and Coursera Coach (where available).
  2. Start a 7-day free trial for Specializations or Coursera Plus. This gives you full access to all course content across eligible programs within the timeframe of your trial.

If you want to keep learning, earn a certificate in abstract algebra, or unlock full course access after the preview or trial, you can upgrade or apply for financial aid.‎

To learn abstract algebra, start by identifying a course that suits your learning style and goals. Engage with the course materials, participate in discussions, and practice solving problems regularly. Supplement your learning with textbooks and online resources. Joining study groups or forums can also provide additional support and motivation as you progress.‎

Typical topics covered in abstract algebra courses include group theory, ring theory, field theory, and homomorphisms. Students may also explore applications of these concepts in various fields, such as coding theory and cryptography. Understanding these topics will provide a comprehensive foundation in abstract algebra.‎

For training and upskilling employees or the workforce, courses like the Algebra: Elementary to Advanced Specialization can be particularly beneficial. These courses provide a structured approach to learning essential algebraic concepts that can enhance analytical skills and problem-solving abilities in a professional context.‎

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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