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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
      Free
      T

      The Museum of Modern Art

      In the Studio: Postwar Abstract Painting

      Skills you'll gain: Art History, Creativity, Design Elements And Principles, Aesthetics, Color Theory

      4.9
      Rating, 4.9 out of 5 stars
      ·
      1.5K reviews

      Beginner · Course · 1 - 3 Months

    • U

      University of Pennsylvania

      Inheritance and Data Structures in Java

      Skills you'll gain: Eclipse (Software), Java, Debugging, Integrated Development Environments, Object Oriented Programming (OOP), Data Structures, File Management, Development Environment, Software Design, Programming Principles

      4.7
      Rating, 4.7 out of 5 stars
      ·
      86 reviews

      Beginner · Course · 1 - 4 Weeks

    • U

      University of Alberta

      Reinforcement Learning

      Skills you'll gain: Reinforcement Learning, Machine Learning, Sampling (Statistics), Machine Learning Algorithms, Artificial Intelligence, Deep Learning, Simulations, Solution Architecture, Feature Engineering, Artificial Intelligence and Machine Learning (AI/ML), Markov Model, Supervised Learning, Algorithms, Performance Testing, Artificial Neural Networks, Pseudocode, Linear Algebra, Probability Distribution, Debugging

      4.7
      Rating, 4.7 out of 5 stars
      ·
      3.5K reviews

      Intermediate · Specialization · 3 - 6 Months

    • 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

      4.7
      Rating, 4.7 out of 5 stars
      ·
      12 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free
      Free
      K

      Korea Advanced Institute of Science and Technology(KAIST)

      Differential Equations Part I Basic Theory

      Skills you'll gain: Differential Equations, Mathematical Modeling, Applied Mathematics, Calculus, Linear Algebra, Vibrations, Mechanics

      4.7
      Rating, 4.7 out of 5 stars
      ·
      1.4K reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free
      Free
      D

      Duke University

      Introduction to Chemistry: Reactions and Ratios

      Skills you'll gain: Scientific Methods, Chemistry, Laboratory Research, General Science and Research, Systems Of Measurement, Physics, Algebra, Engineering Calculations

      4.7
      Rating, 4.7 out of 5 stars
      ·
      1.3K reviews

      Beginner · Course · 1 - 3 Months

    • D

      DeepLearning.AI

      Probability & Statistics for Machine Learning & Data Science

      Skills you'll gain: Descriptive Statistics, Bayesian Statistics, Statistical Hypothesis Testing, Probability & Statistics, Sampling (Statistics), Probability Distribution, Probability, Statistical Inference, A/B Testing, Statistical Analysis, Statistical Machine Learning, Data Science, Exploratory Data Analysis, Statistical Visualization

      4.6
      Rating, 4.6 out of 5 stars
      ·
      558 reviews

      Intermediate · Course · 1 - 4 Weeks

    • U

      University of Toronto

      Self-Driving Cars

      Skills you'll gain: Computer Vision, Image Analysis, Control Systems, Embedded Software, Automation, Deep Learning, Software Architecture, Simulations, Safety Assurance, Artificial Neural Networks, Global Positioning Systems, Hardware Architecture, Systems Architecture, Artificial Intelligence, Estimation, Algorithms, Machine Learning Methods, Predictive Modeling, Scenario Testing, Spatial Data Analysis

      4.7
      Rating, 4.7 out of 5 stars
      ·
      3.5K reviews

      Advanced · Specialization · 3 - 6 Months

    • J

      Johns Hopkins University

      Mathematical Biostatistics Boot Camp 1

      Skills you'll gain: Sampling (Statistics), Bayesian Statistics, Probability & Statistics, Statistical Inference, Statistical Methods, Probability, Probability Distribution, Statistical Analysis, Biostatistics

      4.4
      Rating, 4.4 out of 5 stars
      ·
      514 reviews

      Mixed · Course · 1 - 4 Weeks

    • U

      University of Illinois Urbana-Champaign

      Accelerated Computer Science Fundamentals

      Skills you'll gain: C++ (Programming Language), Data Structures, Object Oriented Programming (OOP), Object Oriented Design, Graph Theory, Development Environment, Engineering Software, Computer Programming, Software Engineering, Algorithms, Debugging, Program Development, Database Systems, Database Theory, Network Routing, Theoretical Computer Science, Data Storage

      4.7
      Rating, 4.7 out of 5 stars
      ·
      3.5K reviews

      Intermediate · Specialization · 1 - 3 Months

    • H

      Howard University

      Linear Algebra for Data Science Using Python

      Skills you'll gain: Data Wrangling, Linear Algebra, Regression Analysis, Data Manipulation, NumPy, Predictive Modeling, Dimensionality Reduction, Data Science, Applied Mathematics, Python Programming, Statistical Modeling, Mathematical Software, Supervised Learning, Data Visualization Software, Jupyter, Data Analysis, Scikit Learn (Machine Learning Library), Machine Learning Methods, Numerical Analysis, Algebra

      4.3
      Rating, 4.3 out of 5 stars
      ·
      31 reviews

      Beginner · Specialization · 3 - 6 Months

    • U

      University of Colorado Boulder

      Expressway to Data Science: Essential Math

      Skills you'll gain: Linear Algebra, Integral Calculus, Algebra, Numerical Analysis, Calculus, Graphing, Applied Mathematics, Data Science, Mathematical Theory & Analysis, Data Analysis, Statistical Methods, Derivatives

      4.5
      Rating, 4.5 out of 5 stars
      ·
      435 reviews

      Intermediate · Specialization · 3 - 6 Months

    1…456…32

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

    • In the Studio: Postwar Abstract Painting: The Museum of Modern Art
    • Inheritance and Data Structures in Java: University of Pennsylvania
    • Reinforcement Learning: University of Alberta
    • Introduction to Advanced Calculus: The University of Sydney
    • Differential Equations Part I Basic Theory: Korea Advanced Institute of Science and Technology(KAIST)
    • Introduction to Chemistry: Reactions and Ratios: Duke University
    • Probability & Statistics for Machine Learning & Data Science: DeepLearning.AI
    • Self-Driving Cars: University of Toronto
    • Mathematical Biostatistics Boot Camp 1: Johns Hopkins University
    • Accelerated Computer Science Fundamentals: University of Illinois Urbana-Champaign

    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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