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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

      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
      ·
      71 reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free
      Free
      T

      Tecnológico de Monterrey

      3.- El Cálculo - Modelo Cúbico

      Skills you'll gain: Applied Mathematics, Algebra, Mathematical Modeling, Mathematics Education, Graphing, Calculus, Mathematical Theory & Analysis, Graphical Tools, Derivatives

      4.7
      Rating, 4.7 out of 5 stars
      ·
      232 reviews

      Mixed · Course · 1 - 4 Weeks

    • U

      University of Colorado Boulder

      Aprendizaje Activo STEM con Simulaciones Interactivas PhET

      Skills you'll gain: Interactive Learning, Education Software and Technology, Pedagogy, Mathematics Education, Simulation and Simulation Software, Simulations, Interactive Design, Web Content Accessibility Guidelines, Experimentation, User Feedback, Scientific Visualization, Chemistry, Graphing, Physics, Biology, Algebra, Geometry

      4.9
      Rating, 4.9 out of 5 stars
      ·
      665 reviews

      Beginner · Specialization · 3 - 6 Months

    • U

      University of California, Davis

      Coaching Practices

      Skills you'll gain: Employee Coaching, Coaching, Management Training And Development, Key Performance Indicators (KPIs), Performance Management, People Management, Accountability, Performance Analysis, Meeting Facilitation, Constructive Feedback, Goal Setting, Communication

      4.8
      Rating, 4.8 out of 5 stars
      ·
      519 reviews

      Mixed · Course · 1 - 3 Months

    • U

      University of Colorado Boulder

      Kinematics: Describing the Motions of Spacecraft

      Skills you'll gain: Mechanics, Linear Algebra, Numerical Analysis, Engineering Calculations, Engineering Analysis, Differential Equations, Physics, Mathematical Modeling, Applied Mathematics, Verification And Validation, Advanced Mathematics, Estimation

      4.9
      Rating, 4.9 out of 5 stars
      ·
      332 reviews

      Advanced · Course · 1 - 4 Weeks

    • U

      University of Colorado Boulder

      Introduction to Machine Learning: Supervised Learning

      Skills you'll gain: Supervised Learning, Machine Learning Algorithms, Applied Machine Learning, Decision Tree Learning, Scikit Learn (Machine Learning Library), Matplotlib, Random Forest Algorithm, Machine Learning, Predictive Modeling, Data Science, Python Programming, Classification And Regression Tree (CART), Mathematical Modeling, Applied Mathematics, Exploratory Data Analysis, Statistical Programming, Regression Analysis, Feature Engineering, Data Cleansing, Performance Tuning

      Build toward a degree

      3.4
      Rating, 3.4 out of 5 stars
      ·
      75 reviews

      Intermediate · Course · 1 - 3 Months

    • U

      University of Colorado Boulder

      Predictive Modeling and Analytics

      Skills you'll gain: Predictive Analytics, Data Visualization, Data Modeling, Business Analytics, Data Analysis, Statistical Modeling, Data-Driven Decision-Making, Regression Analysis, Machine Learning Methods, Supervised Learning, Decision Tree Learning, Data Cleansing, Artificial Neural Networks

      3.6
      Rating, 3.6 out of 5 stars
      ·
      601 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free
      Free
      T

      Tecnológico de Monterrey

      4.- El Cálculo - Otros Modelos

      Skills you'll gain: Advanced Mathematics, Calculus, Applied Mathematics, Mathematical Modeling, Mathematical Theory & Analysis, Algebra, Graphing, Derivatives, Graphical Tools

      4.7
      Rating, 4.7 out of 5 stars
      ·
      206 reviews

      Mixed · Course · 1 - 4 Weeks

    • Status: Free
      Free
      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

    • I

      ISAE-SUPAERO

      Flight mechanics - The basis

      Skills you'll gain: Mechanics, Simulations, Engineering Calculations, Physics, Applied Mathematics, Energy and Utilities, Engineering Analysis, Algebra

      4.7
      Rating, 4.7 out of 5 stars
      ·
      448 reviews

      Beginner · Course · 1 - 4 Weeks

    • R

      Rice University

      Introduction to Electricity and Magnetism

      Skills you'll gain: Basic Electrical Systems, Electrical Engineering, Torque (Physics), Physics, Electrical Systems, Engineering Analysis, Electronic Components, Mechanics, Electronic Systems, Mathematical Modeling, Applied Mathematics, Engineering Calculations, Calculus, Advanced Mathematics, Trigonometry, Linear Algebra

      4.7
      Rating, 4.7 out of 5 stars
      ·
      209 reviews

      Intermediate · Specialization · 3 - 6 Months

    • N

      Northwestern University

      Modern Robotics, Course 2: Robot Kinematics

      Skills you'll gain: Mathematical Modeling, Machine Controls, Automation Engineering, Engineering Calculations, Applied Mathematics, Engineering Analysis, Mechanics, Computational Logic, Simulation and Simulation Software, Virtual Environment, Torque (Physics), Numerical Analysis, Linear Algebra, Trigonometry, Control Systems

      4.9
      Rating, 4.9 out of 5 stars
      ·
      295 reviews

      Intermediate · Course · 1 - 4 Weeks

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

    • Educación Matemática para profesores de infantil. Curso 1: Universidad de los Andes
    • 3.- El Cálculo - Modelo Cúbico: Tecnológico de Monterrey
    • Aprendizaje Activo STEM con Simulaciones Interactivas PhET: University of Colorado Boulder
    • Coaching Practices: University of California, Davis
    • Kinematics: Describing the Motions of Spacecraft: University of Colorado Boulder
    • Introduction to Machine Learning: Supervised Learning: University of Colorado Boulder
    • Predictive Modeling and Analytics : University of Colorado Boulder
    • 4.- El Cálculo - Otros Modelos: Tecnológico de Monterrey
    • Computers, Waves, Simulations: A Practical Introduction to Numerical Methods using Python: Ludwig-Maximilians-Universität München (LMU)
    • Flight mechanics - The basis: ISAE-SUPAERO

    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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