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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 Hong Kong University of Science and Technology

      Fibonacci Numbers and the Golden Ratio

      Skills you'll gain: Arithmetic, Geometry, Mathematical Theory & Analysis, Advanced Mathematics, Combinatorics, Algebra, Mathematical Modeling, Applied Mathematics

      4.8
      Rating, 4.8 out of 5 stars
      ·
      1.2K reviews

      Beginner · Course · 1 - 4 Weeks

    • U

      Universidad de los Andes

      Educación Matemática para profesores de infantil. Curso 1

      Skills you'll gain: Mathematics Education, Logical Reasoning, Childhood Education and Development, Geometry, Deductive Reasoning, General Mathematics

      4.8
      Rating, 4.8 out of 5 stars
      ·
      72 reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      J

      Johns Hopkins University

      Linear Algebra: Orthogonality and Diagonalization

      Skills you'll gain: Linear Algebra, Artificial Intelligence and Machine Learning (AI/ML), Numerical Analysis, Geometry, Applied Mathematics, Mathematical Modeling

      4.9
      Rating, 4.9 out of 5 stars
      ·
      38 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      I

      IBM

      Supervised Machine Learning: Classification

      Skills you'll gain: Supervised Learning, Machine Learning Algorithms, Classification And Regression Tree (CART), Applied Machine Learning, Predictive Modeling, Scikit Learn (Machine Learning Library), Data Processing, Data Cleansing, Machine Learning, Regression Analysis, Data Manipulation, Business Analytics, Feature Engineering, Random Forest Algorithm, Statistical Modeling, Sampling (Statistics), Performance Metric

      4.8
      Rating, 4.8 out of 5 stars
      ·
      411 reviews

      Intermediate · Course · 1 - 3 Months

    • L

      Ludwig-Maximilians-Universität München (LMU)

      Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python

      Skills you'll gain: Finite Element Methods, Numerical Analysis, Engineering Analysis, Jupyter, Differential Equations, Applied Mathematics, NumPy, Mathematical Modeling, Distributed Computing, Python Programming, Mechanics, Vibrations, Linear Algebra, Simulations

      4.8
      Rating, 4.8 out of 5 stars
      ·
      386 reviews

      Intermediate · Course · 1 - 3 Months

    • U

      Universidad Nacional Autónoma de México

      Funciones algebraicas y trascendentes

      Skills you'll gain: Algebra, Mathematical Software, Trigonometry, Mathematical Modeling, General Mathematics, Graphing, Geometry, Arithmetic, Advanced Mathematics

      4.5
      Rating, 4.5 out of 5 stars
      ·
      131 reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      First Order Optical System Design

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

      4.3
      Rating, 4.3 out of 5 stars
      ·
      330 reviews

      Advanced · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      C

      CertNexus

      CertNexus Certified Artificial Intelligence Practitioner

      Skills you'll gain: Data Ethics, Unsupervised Learning, Random Forest Algorithm, Data Analysis, Regression Analysis, Decision Tree Learning, Machine Learning Algorithms, Data Collection, Deep Learning, Workflow Management, MLOps (Machine Learning Operations), Statistical Analysis, Linear Algebra, Applied Machine Learning, Business Ethics, Compliance Management, Learning Strategies, Test Planning, Goal Setting, Productivity

      4.6
      Rating, 4.6 out of 5 stars
      ·
      271 reviews

      Intermediate · Professional Certificate · 3 - 6 Months

    • U

      University of Illinois Urbana-Champaign

      VLSI CAD Part II: Layout

      Skills you'll gain: Application Specific Integrated Circuits, Hardware Design, Computer-Aided Design, Electronic Hardware, Systems Design, Computer Architecture, Electrical and Computer Engineering, Engineering Design Process, Semiconductors, Network Routing, Computational Logic, Data Structures, Algorithms, Mathematical Modeling, Calculus

      4.7
      Rating, 4.7 out of 5 stars
      ·
      281 reviews

      Intermediate · Course · 1 - 3 Months

    • É

      École Polytechnique Fédérale de Lausanne

      Analyse numérique pour ingénieurs

      Skills you'll gain: Numerical Analysis, Engineering Analysis, Engineering Calculations, Differential Equations, Matlab, Applied Mathematics, Calculus, Linear Algebra, Mathematical Modeling, Integral Calculus, Mathematical Theory & Analysis, Advanced Mathematics, Estimation, Algorithms, Derivatives

      4.5
      Rating, 4.5 out of 5 stars
      ·
      108 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free
      Free
      P

      Princeton University

      Analytic Combinatorics

      Skills you'll gain: Combinatorics, Mathematical Theory & Analysis, Advanced Mathematics, Graph Theory, Theoretical Computer Science, Calculus, Probability, Computational Thinking, Applied Mathematics

      4.7
      Rating, 4.7 out of 5 stars
      ·
      70 reviews

      Intermediate · Course · 1 - 3 Months

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

      Google

      Use AI as a Creative or Expert Partner

      Skills you'll gain: Prompt Engineering, Generative AI Agents, ChatGPT, AI Personalization, Generative AI, Artificial Intelligence, Simulations

      4.8
      Rating, 4.8 out of 5 stars
      ·
      63 reviews

      Beginner · Course · 1 - 4 Weeks

    Abstract Algebra learners also search

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    1…101112…32

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

    • Fibonacci Numbers and the Golden Ratio: The Hong Kong University of Science and Technology
    • Educación Matemática para profesores de infantil. Curso 1: Universidad de los Andes
    • Linear Algebra: Orthogonality and Diagonalization: Johns Hopkins University
    • Supervised Machine Learning: Classification: IBM
    • Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python: Ludwig-Maximilians-Universität München (LMU)
    • Funciones algebraicas y trascendentes : Universidad Nacional Autónoma de México
    • First Order Optical System Design: University of Colorado Boulder
    • CertNexus Certified Artificial Intelligence Practitioner: CertNexus
    • VLSI CAD Part II: Layout: University of Illinois Urbana-Champaign
    • Analyse numérique pour ingénieurs: École Polytechnique Fédérale de Lausanne

    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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