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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
      S

      Stanford University

      Introduction to Logic

      Skills you'll gain: Logical Reasoning, Computational Logic, Deductive Reasoning, Computational Thinking, Business Logic, Functional Design, Algorithms

      4.4
      Rating, 4.4 out of 5 stars
      ·
      647 reviews

      Intermediate · Course · 1 - 3 Months

    • J

      Johns Hopkins University

      Advanced Statistics for Data Science

      Skills you'll gain: Statistical Hypothesis Testing, Sampling (Statistics), Regression Analysis, Bayesian Statistics, Statistical Analysis, Probability & Statistics, Statistical Inference, Statistical Methods, Statistical Modeling, Linear Algebra, Probability, R Programming, Biostatistics, Data Science, Probability Distribution, Mathematical Modeling, Data Analysis, Applied Mathematics, Predictive Modeling, Sample Size Determination

      4.4
      Rating, 4.4 out of 5 stars
      ·
      761 reviews

      Advanced · Specialization · 3 - 6 Months

    • D

      DeepLearning.AI

      Natural Language Processing

      Skills you'll gain: Natural Language Processing, Supervised Learning, Markov Model, Text Mining, Dimensionality Reduction, Artificial Intelligence and Machine Learning (AI/ML), Artificial Neural Networks, PyTorch (Machine Learning Library), Deep Learning, Tensorflow, Machine Learning Methods, Data Processing, Feature Engineering, Machine Learning Algorithms, Artificial Intelligence, Algorithms, Keras (Neural Network Library), Linear Algebra, Data Cleansing, Probability & Statistics

      4.6
      Rating, 4.6 out of 5 stars
      ·
      6.1K reviews

      Intermediate · Specialization · 3 - 6 Months

    • Status: Free
      Free
      B

      Birla Institute of Technology & Science, Pilani

      Basic Mathematics

      Skills you'll gain: Integral Calculus, Calculus, Trigonometry, Algebra, Differential Equations, Linear Algebra, Derivatives

      4.5
      Rating, 4.5 out of 5 stars
      ·
      138 reviews

      Beginner · Course · 1 - 3 Months

    • I

      Imperial College London

      Mathematics for Machine Learning: PCA

      Skills you'll gain: Dimensionality Reduction, NumPy, Probability & Statistics, Feature Engineering, Jupyter, Data Science, Statistics, Linear Algebra, Python Programming, Advanced Mathematics, Machine Learning, Calculus

      4
      Rating, 4 out of 5 stars
      ·
      3.1K 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

    • U

      University of Colorado Boulder

      Foundations of Data Structures and Algorithms

      Skills you'll gain: Algorithms, Data Structures, Graph Theory, Operations Research, Theoretical Computer Science, Public Key Cryptography Standards (PKCS), Computational Thinking, Cryptography, Computer Science, Programming Principles, Pseudocode, Applied Mathematics, Encryption, Network Model, Linear Algebra, Combinatorics, Advanced Mathematics, Analysis, Mathematical Modeling, Tree Maps

      Build toward a degree

      4.6
      Rating, 4.6 out of 5 stars
      ·
      803 reviews

      Advanced · Specialization · 3 - 6 Months

    • U

      University of London

      Mathematics for Computer Science

      Skills you'll gain: Graphing, Computational Thinking, Arithmetic, Applied Mathematics, Mathematical Modeling, General Mathematics, Computer Science, Computer Graphics, Systems Of Measurement, Cryptography

      4.1
      Rating, 4.1 out of 5 stars
      ·
      237 reviews

      Beginner · Course · 1 - 3 Months

    • U

      University of London

      International Business Essentials

      Skills you'll gain: Financial Statements, Business Planning, Sampling (Statistics), Leadership and Management, Descriptive Statistics, Team Management, Team Building, Organizational Structure, Data Presentation, Professional Networking, Communication, Organizational Change, Business Mathematics, Business Strategy, Professionalism, Resource Allocation, Competitive Analysis, Linear Algebra, Mathematical Modeling, Business Strategies

      4.6
      Rating, 4.6 out of 5 stars
      ·
      1.9K reviews

      Intermediate · Specialization · 3 - 6 Months

    • I

      IBM

      Introduction to Neural Networks and PyTorch

      Skills you'll gain: PyTorch (Machine Learning Library), Artificial Neural Networks, Deep Learning, Predictive Modeling, Probability & Statistics, Machine Learning, Regression Analysis, Data Manipulation, Linear Algebra

      4.4
      Rating, 4.4 out of 5 stars
      ·
      1.8K reviews

      Intermediate · Course · 1 - 3 Months

    • 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

    • 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

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

    • Introduction to Logic: Stanford University
    • Advanced Statistics for Data Science: Johns Hopkins University
    • Natural Language Processing: DeepLearning.AI
    • Basic Mathematics: Birla Institute of Technology & Science, Pilani
    • Mathematics for Machine Learning: PCA: Imperial College London
    • Self-Driving Cars: University of Toronto
    • Foundations of Data Structures and Algorithms: University of Colorado Boulder
    • Mathematics for Computer Science: University of London
    • International Business Essentials: University of London
    • Introduction to Neural Networks and PyTorch: IBM

    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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