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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

    • K

      Koç University

      Doğrusal Cebir I: Uzaylar ve İşlemciler / Linear Algebra I: Spaces and Operators

      Skills you'll gain: Linear Algebra, Applied Mathematics, Algebra, Engineering Calculations, General Mathematics, Calculus, Mathematics and Mathematical Modeling, Advanced Mathematics, Differential Equations, Mathematical Modeling, Mathematical Theory & Analysis, Geometry

      4.1
      Rating, 4.1 out of 5 stars
      ·
      43 reviews

      Mixed · Course · 1 - 3 Months

    • E

      Edge Impulse

      Computer Vision with Embedded Machine Learning

      Skills you'll gain: Computer Vision, Image Analysis, Artificial Neural Networks, Embedded Systems, Deep Learning, Data Ethics, Machine Learning, Artificial Intelligence, Python Programming, Data Collection, Performance Testing

      4.8
      Rating, 4.8 out of 5 stars
      ·
      153 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      É

      École Polytechnique Fédérale de Lausanne

      Digital Signal Processing 2: Filtering

      Skills you'll gain: Digital Communications, Electrical Engineering, Electrical and Computer Engineering, Telecommunications, Electronic Systems, Engineering Analysis, Computer Engineering, Engineering Calculations, Numerical Analysis, Linear Algebra, Mathematical Modeling, Applied Mathematics, Algorithms, Data Mapping, Real Time Data

      4.7
      Rating, 4.7 out of 5 stars
      ·
      191 reviews

      Intermediate · Course · 1 - 4 Weeks

    • N

      National Taiwan University

      Operations Research (2): Optimization Algorithms

      Skills you'll gain: Operations Research, Linear Algebra, Numerical Analysis, Applied Mathematics, Algorithms, Process Optimization, Engineering Calculations, Program Implementation, Mathematical Software, Computational Thinking, Operational Analysis, Mathematical Modeling, Decision Making, Calculus

      4.8
      Rating, 4.8 out of 5 stars
      ·
      150 reviews

      Intermediate · Course · 1 - 3 Months

    • É

      École Polytechnique Fédérale de Lausanne

      Big Data Analysis with Scala and Spark (Scala 2 version)

      Skills you'll gain: Apache Spark, Scala Programming, Apache Hadoop, Big Data, Data Manipulation, Distributed Computing, Data Processing, Performance Tuning, Programming Principles

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      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
      ·
      76 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      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

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Quantum Mechanics for Engineers

      Skills you'll gain: Estimation, Linear Algebra, Physics, Mechanics, Engineering Calculations, Probability, Applied Mathematics, Advanced Mathematics, Mathematical Modeling, Engineering Analysis, Mathematical Theory & Analysis, Differential Equations, Physical Science

      Build toward a degree

      4.4
      Rating, 4.4 out of 5 stars
      ·
      98 reviews

      Intermediate · Specialization · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      H

      Howard University

      Linear Algebra for Data Science Using Python

      Skills you'll gain: Data Wrangling, Linear Algebra, Regression Analysis, Data Manipulation, NumPy, Predictive Modeling, Dimensionality Reduction, Data Science, Applied Mathematics, Python Programming, Statistical Modeling, Mathematical Software, Supervised Learning, Data Visualization Software, Jupyter, Data Analysis, Scikit Learn (Machine Learning Library), Machine Learning Methods, Numerical Analysis, Algebra

      4.3
      Rating, 4.3 out of 5 stars
      ·
      31 reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      N

      New York University

      Fundamentals of Machine Learning in Finance

      Skills you'll gain: Supervised Learning, Dimensionality Reduction, Unsupervised Learning, Applied Machine Learning, Machine Learning Algorithms, Decision Tree Learning, Machine Learning, Predictive Modeling, Financial Trading, Financial Market, Reinforcement Learning, Scikit Learn (Machine Learning Library), Correlation Analysis, Exploratory Data Analysis, Portfolio Management, Python Programming, Artificial Neural Networks, Jupyter

      3.7
      Rating, 3.7 out of 5 stars
      ·
      338 reviews

      Intermediate · Course · 1 - 4 Weeks

    • K

      Koç University

      Çok değişkenli Fonksiyon I: Kavramlar / Multivariable Calculus I: Concepts

      Skills you'll gain: Geometry, Integral Calculus, Calculus, Applied Mathematics, Linear Algebra, Advanced Mathematics, Derivatives, Algebra, Mathematical Theory & Analysis, Graphing

      4.6
      Rating, 4.6 out of 5 stars
      ·
      28 reviews

      Mixed · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      R

      Rice University

      Algorithmic Thinking (Part 1)

      Skills you'll gain: Graph Theory, Algorithms, Computational Thinking, Data Analysis, Data Structures, Theoretical Computer Science, Network Analysis, Analysis, Python Programming, Computer Programming

      4.6
      Rating, 4.6 out of 5 stars
      ·
      381 reviews

      Intermediate · Course · 1 - 4 Weeks

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

    • Doğrusal Cebir I: Uzaylar ve İşlemciler / Linear Algebra I: Spaces and Operators: Koç University
    • Computer Vision with Embedded Machine Learning: Edge Impulse
    • Digital Signal Processing 2: Filtering: École Polytechnique Fédérale de Lausanne
    • Operations Research (2): Optimization Algorithms: National Taiwan University
    • Big Data Analysis with Scala and Spark (Scala 2 version): École Polytechnique Fédérale de Lausanne
    • Introduction to Machine Learning: Supervised Learning: University of Colorado Boulder
    • Modern Robotics, Course 2: Robot Kinematics: Northwestern University
    • Quantum Mechanics for Engineers: University of Colorado Boulder
    • Linear Algebra for Data Science Using Python: Howard University
    • Fundamentals of Machine Learning in Finance: New York University

    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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