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  • Abstract Algebra

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
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    J

    Johns Hopkins University

    Linear Algebra from Elementary to Advanced

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

    4.7
    Rating, 4.7 out of 5 stars
    ·
    210 reviews

    Beginner · Specialization · 3 - 6 Months

  • Status: New
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    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

  • 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
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    773 reviews

    Beginner · Specialization · 3 - 6 Months

  • 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, Engineering Analysis

    4.8
    Rating, 4.8 out of 5 stars
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    35 reviews

    Intermediate · Course · 1 - 4 Weeks

  • Status: Free Trial
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    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
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    4.6K reviews

    Beginner · 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

    4.5
    Rating, 4.5 out of 5 stars
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    22 reviews

    Intermediate · Course · 1 - 4 Weeks

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  • Status: Preview
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    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
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    1.1K reviews

    Intermediate · Course · 1 - 3 Months

  • Status: Preview
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    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
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    200 reviews

    Intermediate · 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
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    183 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, Graph Theory, Geometry, Applied Machine Learning, Markov Model, Probability

    4.8
    Rating, 4.8 out of 5 stars
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    76 reviews

    Mixed · Course · 1 - 3 Months

  • Status: Preview
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    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
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    654 reviews

    Intermediate · Course · 1 - 3 Months

  • Status: Preview
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    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, Bayesian Statistics, Statistics, Artificial Intelligence and Machine Learning (AI/ML), Artificial Intelligence, Probability, Regression Analysis, Calculus, Statistical Analysis, Advanced Mathematics, Applied Mathematics, Probability Distribution, Mathematical Modeling, Integral Calculus, Algebra, Machine Learning Algorithms

    4.9
    Rating, 4.9 out of 5 stars
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    10 reviews

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

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