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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

      Universidad de los Andes

      Enseñanza de las matemáticas de primaria

      Skills you'll gain: Arithmetic, Geometry, Mathematics Education, Systems Of Measurement, General Mathematics

      4.9
      Rating, 4.9 out of 5 stars
      ·
      306 reviews

      Beginner · Course · 1 - 3 Months

    • 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 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

    • 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

    • D

      Duke University

      Data Science Math Skills

      Skills you'll gain: Probability, Bayesian Statistics, General Mathematics, Calculus, Graphing, Statistics, Data Science, Data Analysis, Plot (Graphics), Algebra, Geometry, Arithmetic, Derivatives

      4.5
      Rating, 4.5 out of 5 stars
      ·
      13K reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      I

      IBM

      Exploratory Data Analysis for Machine Learning

      Skills you'll gain: Exploratory Data Analysis, Feature Engineering, Data Cleansing, Data Access, Data Analysis, Statistical Inference, Statistical Hypothesis Testing, Data Quality, Data Science, Probability & Statistics, Jupyter, Machine Learning, Data Manipulation, Pandas (Python Package), Statistical Analysis, Data Transformation, Artificial Intelligence

      4.6
      Rating, 4.6 out of 5 stars
      ·
      2.2K reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      K

      Korea Advanced Institute of Science and Technology(KAIST)

      Electrodynamics

      Skills you'll gain: Electrical Engineering, Basic Electrical Systems, Electronic Components, Electrical Systems, Differential Equations, Physics, Engineering Analysis, Integral Calculus, Applied Mathematics, Advanced Mathematics, Scientific Visualization, Engineering Calculations, Calculus, Electronic Systems, Mechanics, Electronics, Energy and Utilities, Mathematical Modeling, Linear Algebra

      4.7
      Rating, 4.7 out of 5 stars
      ·
      949 reviews

      Intermediate · Specialization · 3 - 6 Months

    • J

      Johns Hopkins University

      Business Analytics with Excel: Elementary to Advanced

      Skills you'll gain: Risk Modeling, Operations Research, Regression Analysis, Microsoft Excel, Business Analytics, Risk Analysis, Business Process Modeling, Business Modeling, Data Modeling, Resource Allocation, Statistical Analysis, Process Optimization, Financial Analysis, Predictive Analytics, Transportation Operations, Complex Problem Solving, Linear Algebra

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

      Intermediate · Course · 1 - 3 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, Engineering Calculations, Computer-Aided Design, Simulation and Simulation Software, Engineering Design Process, System Design and Implementation, Image Analysis, Performance Tuning, z/OS, Laboratory Equipment, Systems Design, Medical Imaging, Applied Mathematics, Engineering Analysis, Human Factors, Physics, Technical Design, Linear Algebra

      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

    • T

      The University of Chicago

      Global Warming I: The Science and Modeling of Climate Change

      Skills you'll gain: Mitigation, Environment, Physics, Mathematical Modeling, Environmental Monitoring, Systems Thinking, Environmental Science, Simulations, Biology, Economics, Energy and Utilities, Chemistry, Data Collection

      4.6
      Rating, 4.6 out of 5 stars
      ·
      451 reviews

      Mixed · Course · 1 - 3 Months

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

    • Enseñanza de las matemáticas de primaria: Universidad de los Andes
    • Accelerated Computer Science Fundamentals: University of Illinois Urbana-Champaign
    • Fundamentals of Digital Design for VLSI Chip Design: L&T EduTech
    • Essential Linear Algebra for Data Science: University of Colorado Boulder
    • Differential Equations Part I Basic Theory: Korea Advanced Institute of Science and Technology(KAIST)
    • Data Science Math Skills: Duke University
    • Exploratory Data Analysis for Machine Learning: IBM
    • Electrodynamics: Korea Advanced Institute of Science and Technology(KAIST)
    • Business Analytics with Excel: Elementary to Advanced: Johns Hopkins University
    • Optical Engineering: University of Colorado Boulder

    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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