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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

    • T

      The University of Sydney

      Introduction to Calculus

      Skills you'll gain: Calculus, Integral Calculus, Algebra, Advanced Mathematics, Geometry, Applied Mathematics, Engineering Calculations, Trigonometry, Arithmetic, Derivatives, Mathematical Modeling, Graphing, Estimation

      4.8
      Rating, 4.8 out of 5 stars
      ·
      3.8K reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      D

      DeepLearning.AI

      Linear Algebra for Machine Learning and Data Science

      Skills you'll gain: Linear Algebra, NumPy, Dimensionality Reduction, Machine Learning Methods, Jupyter, Data Manipulation, Data Science, Applied Mathematics, Python Programming, Image Analysis, Artificial Intelligence

      4.6
      Rating, 4.6 out of 5 stars
      ·
      2K reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      É

      École Polytechnique Fédérale de Lausanne

      Digital Signal Processing

      Skills you'll gain: Digital Communications, Image Analysis, Telecommunications, Electrical Engineering, Electrical and Computer Engineering, Embedded Systems, Electronic Systems, Electronics Engineering, Computer Engineering, Engineering Calculations, Electronics, Programming Principles, Engineering Analysis, Numerical Analysis, Advanced Mathematics, Algorithms, Linear Algebra, Mathematical Modeling, Calculus, Applied Mathematics

      4.5
      Rating, 4.5 out of 5 stars
      ·
      779 reviews

      Intermediate · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Optical Engineering

      Skills you'll gain: Engineering, Scientific, and Technical Instruments, Equipment Design, Electrical Engineering, Systems Design, Engineering Calculations, Computer-Aided Design, Simulation and Simulation Software, Engineering Design Process, Engineering Analysis, Image Analysis, Performance Tuning, z/OS, Laboratory Equipment, Medical Imaging, Applied Mathematics, Human Factors, Physics, Technical Design, Linear Algebra, Mathematical Modeling

      Build toward a degree

      4.3
      Rating, 4.3 out of 5 stars
      ·
      364 reviews

      Advanced · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      U

      University of London

      International Business Essentials

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

      4.6
      Rating, 4.6 out of 5 stars
      ·
      2K reviews

      Intermediate · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      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

    • 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

      4.5
      Rating, 4.5 out of 5 stars
      ·
      173 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: New
      New
      Status: Free Trial
      Free Trial
      G

      Google

      Google Prompting Essentials

      Skills you'll gain: Data Visualization, Prompt Engineering, Data Presentation, Data Storytelling, Sampling (Statistics), Presentations, Graphing, Generative AI Agents, ChatGPT, Data Ethics, AI Personalization, Generative AI, Brainstorming, Timelines, Excel Formulas, Data Analysis, Taking Meeting Minutes, Concision, Oral Expression, Artificial Intelligence

      4.8
      Rating, 4.8 out of 5 stars
      ·
      197 reviews

      Beginner · Specialization · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      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 Trial
      Free Trial
      L

      L&T EduTech

      Fundamentals of Digital Design for VLSI Chip Design

      Skills you'll gain: Field-Programmable Gate Array (FPGA), Application Specific Integrated Circuits, Computational Logic, Computer Architecture, Hardware Design, Electronics Engineering, Electronics, Programmable Logic Controllers, Electronic Systems, Semiconductors, Electronic Components, Data Storage, Data Storage Technologies

      4.6
      Rating, 4.6 out of 5 stars
      ·
      90 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Toronto

      Self-Driving Cars

      Skills you'll gain: Computer Vision, Image Analysis, Control Systems, Embedded Software, Automation, Deep Learning, Simulation and Simulation Software, Software Architecture, Computer Graphics, Safety Assurance, Artificial Neural Networks, Global Positioning Systems, Visualization (Computer Graphics), Estimation, Algorithms, Machine Learning Methods, Predictive Modeling, Scenario Testing, Data Structures, Spatial Data Analysis

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

      Advanced · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      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

    Abstract Algebra learners also search

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    1234…32

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

    • Introduction to Calculus: The University of Sydney
    • Linear Algebra for Machine Learning and Data Science: DeepLearning.AI
    • Digital Signal Processing: École Polytechnique Fédérale de Lausanne
    • Optical Engineering: University of Colorado Boulder
    • International Business Essentials: University of London
    • Introduction to Neural Networks and PyTorch: IBM
    • Essential Linear Algebra for Data Science: University of Colorado Boulder
    • Google Prompting Essentials: Google
    • Accelerated Computer Science Fundamentals: University of Illinois Urbana-Champaign
    • Fundamentals of Digital Design for VLSI Chip Design: L&T EduTech

    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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