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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

    • I

      Illinois Tech

      Linear Regression

      Skills you'll gain: Regression Analysis, R Programming, Statistical Inference, Data Analysis, Statistical Analysis, Predictive Modeling, Probability & Statistics, Linear Algebra

      Build toward a degree

      4.6
      Rating, 4.6 out of 5 stars
      ·
      22 reviews

      Intermediate · Course · 1 - 4 Weeks

    • U

      University of Colorado Boulder

      Foundations of Autonomous Systems

      Skills you'll gain: Computational Logic, Mathematical Modeling, Theoretical Computer Science, Verification And Validation, System Requirements, Agentic systems, Automation, Software Systems, Mechanical Engineering, Systems Analysis, Systems Engineering, Simulations, Applied Mathematics, Control Systems, Linear Algebra, Differential Equations, Computer Science, Hardware Architecture, Artificial Intelligence, Algorithms

      Build toward a degree

      3.6
      Rating, 3.6 out of 5 stars
      ·
      19 reviews

      Intermediate · Specialization · 3 - 6 Months

    • I

      Illinois Tech

      Data Preparation and Analysis

      Skills you'll gain: Machine Learning Algorithms, Statistical Analysis, Data Visualization, Data Analysis, Exploratory Data Analysis, Data Presentation, Data Cleansing, Applied Machine Learning, Analytics, Machine Learning, Data Science, Regression Analysis, Data Manipulation, Data Mining, Statistical Modeling, Python Programming, Feature Engineering, Scikit Learn (Machine Learning Library), Unsupervised Learning, Classification And Regression Tree (CART)

      Build toward a degree

      Intermediate · Course · 1 - 3 Months

    • U

      University of Colorado Boulder

      Spacecraft Formation Relative Orbits

      Skills you'll gain: Control Systems, Vibrations, Systems Engineering, Mechanics, Numerical Analysis, Differential Equations, Mathematical Modeling, Simulation and Simulation Software, Engineering Analysis, Simulations, Advanced Mathematics, Linear Algebra, Engineering Design Process, Engineering Calculations, Applied Mathematics, Physics, Calculus

      5
      Rating, 5 out of 5 stars
      ·
      7 reviews

      Advanced · Specialization · 1 - 3 Months

    • Status: New
      New
      U

      University of Colorado Boulder

      Object-Oriented Analysis and Design: Practice & Architecture

      Skills you'll gain: Object Oriented Design, Software Design Patterns, Unified Modeling Language, Software Design, Java Programming, Software Architecture, User Interface and User Experience (UI/UX) Design, API Design, Software Development, Databases

      Build toward a degree

      Intermediate · Course · 1 - 3 Months

    • U

      University of Colorado Boulder

      The Physics of Emergence: Introduction to Condensed Matter

      Skills you'll gain: Physics, Physical Science, Semiconductors, Algebra, Electronic Components, Advanced Mathematics, Mathematical Modeling, Simulations, Calculus, Science and Research, Applied Mathematics

      4.8
      Rating, 4.8 out of 5 stars
      ·
      18 reviews

      Beginner · Specialization · 1 - 3 Months

    • U

      University of Colorado Boulder

      Spacecraft Relative Motion Kinematics and Kinetics

      Skills you'll gain: Mechanics, Differential Equations, Mathematical Modeling, Advanced Mathematics, Linear Algebra, Engineering Calculations, Simulations, Applied Mathematics, Physics, Calculus

      5
      Rating, 5 out of 5 stars
      ·
      7 reviews

      Advanced · Course · 1 - 4 Weeks

    • Status: Free
      Free
      P

      Pontificia Universidad Católica de Chile

      Procesamiento de Imágenes

      Skills you'll gain: Image Analysis, Computer Vision, Data Processing, Python Programming, Algorithms, NumPy, Linear Algebra

      4.3
      Rating, 4.3 out of 5 stars
      ·
      13 reviews

      Intermediate · Course · 1 - 3 Months

    • U

      Universidad Austral

      Introducción al Aprendizaje Profundo

      Skills you'll gain: Supervised Learning, Deep Learning, Artificial Neural Networks, Machine Learning, Machine Learning Algorithms, Artificial Intelligence and Machine Learning (AI/ML), Linear Algebra, Regression Analysis

      4.2
      Rating, 4.2 out of 5 stars
      ·
      6 reviews

      Beginner · Course · 1 - 4 Weeks

    • D

      DeepLearning.AI

      Сверточные нейронные сети

      Skills you'll gain: Image Analysis, Computer Vision, Deep Learning, Artificial Neural Networks, Applied Machine Learning, Visualization (Computer Graphics), Network Architecture

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free
      Free
      I

      IIT Roorkee

      Foundations of Advanced Wireless Communication

      Skills you'll gain: Wireless Networks, Digital Communications, Telecommunications, Capacity Management, Network Architecture, Emerging Technologies, Network Performance Management, Algorithms, System Design and Implementation, Mathematical Modeling, Estimation

      Intermediate · Course · 3 - 6 Months

    • Status: New
      New
      J

      Johns Hopkins University

      Foundations of Neural Networks

      Skills you'll gain: Data Ethics, Artificial Neural Networks, Deep Learning, Machine Learning Algorithms, Reinforcement Learning, Generative AI, Debugging, Artificial Intelligence, Unsupervised Learning, Machine Learning, Computer Vision, Image Analysis, Artificial Intelligence and Machine Learning (AI/ML), Ethical Standards And Conduct, Applied Machine Learning, Unstructured Data, Linear Algebra, Markov Model, Data-Driven Decision-Making, Natural Language Processing

      Intermediate · Specialization · 3 - 6 Months

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

    • Linear Regression: Illinois Tech
    • Foundations of Autonomous Systems: University of Colorado Boulder
    • Data Preparation and Analysis: Illinois Tech
    • Spacecraft Formation Relative Orbits: University of Colorado Boulder
    • Object-Oriented Analysis and Design: Practice & Architecture: University of Colorado Boulder
    • The Physics of Emergence: Introduction to Condensed Matter: University of Colorado Boulder
    • Spacecraft Relative Motion Kinematics and Kinetics: University of Colorado Boulder
    • Procesamiento de Imágenes: Pontificia Universidad Católica de Chile
    • Introducción al Aprendizaje Profundo: Universidad Austral
    • Сверточные нейронные сети: DeepLearning.AI

    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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