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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

    • U

      University of California San Diego

      Data Structures

      Skills you'll gain: Data Structures, Algorithms, Data Storage, Programming Principles, Computer Programming, C++ (Programming Language), Theoretical Computer Science, File Management

      4.6
      Rating, 4.6 out of 5 stars
      ·
      5.5K reviews

      Intermediate · Course · 1 - 3 Months

    • U

      University of Washington

      Machine Learning: Regression

      Skills you'll gain: Regression Analysis, Predictive Modeling, Supervised Learning, Statistical Modeling, Applied Machine Learning, Predictive Analytics, Feature Engineering, Machine Learning, Statistical Methods, Python Programming, Data Manipulation, Linear Algebra, Algorithms

      4.8
      Rating, 4.8 out of 5 stars
      ·
      5.6K reviews

      Mixed · Course · 1 - 3 Months

    • Status: Free
      Free
      U

      University of Minnesota

      Matrix Methods

      Skills you'll gain: Dimensionality Reduction, NumPy, Linear Algebra, Machine Learning Methods, Data Analysis, Numerical Analysis, Mathematical Modeling, Applied Mathematics, Applied Machine Learning, Data Manipulation, Exploratory Data Analysis, Algorithms, Python Programming

      4.1
      Rating, 4.1 out of 5 stars
      ·
      243 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free
      Free
      T

      Tecnológico de Monterrey

      2.- El Cálculo - Modelo Cuadrático

      Skills you'll gain: Education Software and Technology, Calculus, Applied Mathematics, Algebra, Mathematical Modeling, Mathematical Software, Graphing, Derivatives

      4.8
      Rating, 4.8 out of 5 stars
      ·
      340 reviews

      Mixed · Course · 1 - 4 Weeks

    • Status: Free
      Free
      U

      UNSW Sydney (The University of New South Wales)

      Mechanics: Motion, Forces, Energy and Gravity, from Particles to Planets

      Skills you'll gain: Mechanics, Physics, Experimentation, Engineering Calculations, Applied Mathematics, Physical Science, Systems Of Measurement, Mathematical Modeling, Estimation

      4.7
      Rating, 4.7 out of 5 stars
      ·
      1.1K reviews

      Beginner · Course · 1 - 3 Months

    • I

      Imperial College London

      Mathematics for Machine Learning: Multivariate Calculus

      Skills you'll gain: Regression Analysis, Calculus, Machine Learning Methods, Advanced Mathematics, Statistical Analysis, Linear Algebra, Artificial Neural Networks, Python Programming, Derivatives, Algorithms

      4.7
      Rating, 4.7 out of 5 stars
      ·
      5.7K reviews

      Beginner · Course · 1 - 3 Months

    • U

      University of Colorado System

      Mathematical Foundations for Cryptography

      Skills you'll gain: Cryptography, Arithmetic, Algorithms, Applied Mathematics, Probability, Computer Science

      4.6
      Rating, 4.6 out of 5 stars
      ·
      329 reviews

      Beginner · Course · 1 - 4 Weeks

    • G

      Georgia Institute of Technology

      Fundamentals of Engineering Exam Review

      Skills you'll gain: Structural Analysis, Probability & Statistics, Structural Engineering, Hydraulics, Statistical Methods, Statistics, Engineering Analysis, Mechanical Engineering, Probability, Engineering, Probability Distribution, Mechanics, Engineering Calculations, Civil Engineering, Applied Mathematics, Algebra, Advanced Mathematics, Calculus, Differential Equations, Geometry

      4.6
      Rating, 4.6 out of 5 stars
      ·
      611 reviews

      Mixed · Course · 1 - 3 Months

    • Status: Free
      Free
      T

      The University of Melbourne

      Discrete Optimization

      Skills you'll gain: Operations Research, Combinatorics, Applied Mathematics, Graph Theory, Algorithms, Mathematical Modeling, Computational Thinking, Linear Algebra, Computational Logic, Computer Programming

      4.8
      Rating, 4.8 out of 5 stars
      ·
      776 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free
      Free
      D

      Duke University

      Image and Video Processing: From Mars to Hollywood with a Stop at the Hospital

      Skills you'll gain: Image Analysis, Computer Vision, Digital Communications, Computer Graphics, Visualization (Computer Graphics), Medical Imaging, Applied Mathematics, Spatial Analysis, Advanced Mathematics, Linear Algebra, Matlab, Mathematical Modeling, Algorithms, Probability Distribution

      4.7
      Rating, 4.7 out of 5 stars
      ·
      1.1K reviews

      Mixed · Course · 1 - 3 Months

    • U

      University of Colorado Boulder

      Algebra and Differential Calculus for Data Science

      Skills you'll gain: Algebra, Calculus, Graphing, Applied Mathematics, Data Science, Derivatives, Mathematical Theory & Analysis

      4.6
      Rating, 4.6 out of 5 stars
      ·
      243 reviews

      Intermediate · Course · 1 - 3 Months

    • U

      University of Colorado System

      Classical Cryptosystems and Core Concepts

      Skills you'll gain: Cryptography, Cybersecurity, Encryption, Key Management, Public Key Cryptography Standards (PKCS), Data Integrity

      4.5
      Rating, 4.5 out of 5 stars
      ·
      411 reviews

      Beginner · Course · 1 - 4 Weeks

    1…8910…32

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

    • Data Structures: University of California San Diego
    • Machine Learning: Regression: University of Washington
    • Matrix Methods: University of Minnesota
    • 2.- El Cálculo - Modelo Cuadrático: Tecnológico de Monterrey
    • Mechanics: Motion, Forces, Energy and Gravity, from Particles to Planets: UNSW Sydney (The University of New South Wales)
    • Mathematics for Machine Learning: Multivariate Calculus: Imperial College London
    • Mathematical Foundations for Cryptography: University of Colorado System
    • Fundamentals of Engineering Exam Review: Georgia Institute of Technology
    • Discrete Optimization: The University of Melbourne
    • Image and Video Processing: From Mars to Hollywood with a Stop at the Hospital: Duke 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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