What skills can I learn from Abstract Algebra courses on Coursera?

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.

Do I need prior experience in mathematics to start these courses?

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.

What certifications and credentials can I earn through Abstract Algebra courses on Coursera?

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.

What career opportunities are available with skills in Abstract Algebra?

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.

Best Abstract Algebra Courses & Certificates [2025]

Skip to search results

Filter by

Subject
Required

Computer Science(97)

Math and Logic(79)

Data Science(76)

Physical Science and Engineering(73)

Language
Required

The language used throughout the course, in both instruction and assessments.

English(286)

Spanish(202)

French(195)

Arabic(184)

Learning Product
Required

Guided Projects(4)

Build job-relevant skills in under 2 hours with hands-on tutorials.

Courses(295)

Learn from top instructors with graded assignments, videos, and discussion forums.

Specializations(38)

Get in-depth knowledge of a subject by completing a series of courses and projects.

MasterTrack® Certificates(1)

Earn career credentials while taking courses that count towards your Master’s degree.

Degrees(3)

Earn your Bachelor’s or Master’s degree online for a fraction of the cost of in-person learning.

Graduate Certificates(1)

Earn a university-issued career credential in a flexible, interactive format.

Level
Required

Beginner(94)

Intermediate(167)

Advanced(32)

Mixed(44)

Duration
Required

Less Than 2 Hours(4)

1-4 Weeks(138)

1-3 Months(156)

3-6 Months(39)

6-12 Months(2)

1-4 Years(3)

Skills
Required

Linear Algebra(167)

Applied Mathematics(148)

Mathematical Modeling(135)

Advanced Mathematics(86)

Subtitles
Required

English(301)

Spanish(218)

French(210)

Arabic(192)

Educator
Required

University of Colorado Boulder(37)

Johns Hopkins University(30)

Packt(15)

Rice University(15)

Explore the Abstract Algebra Course Catalog

Johns Hopkins University
Algebra: Elementary to Advanced
Skills you'll gain: Algebra, Mathematical Modeling, Graphing, Arithmetic, Advanced Mathematics, Applied Mathematics, Analytical Skills, Probability & Statistics, Linear Algebra, Geometry, Calculus
4.8
Rating, 4.8 out of 5 stars
716 reviews
Beginner · Specialization · 3 - 6 Months
Johns Hopkins University
Linear Algebra from Elementary to Advanced
Skills you'll gain: Linear Algebra, Algebra, Applied Mathematics, Artificial Intelligence and Machine Learning (AI/ML), Mathematical Modeling, Advanced Mathematics, Engineering Analysis, Mathematical Theory & Analysis, Geometry, Graph Theory, Applied Machine Learning, Markov Model
4.7
Rating, 4.7 out of 5 stars
163 reviews
Beginner · Specialization · 3 - 6 Months
Imperial College London
Mathematics for Machine Learning: Linear Algebra
Skills you'll gain: Linear Algebra, NumPy, Applied Mathematics, Data Transformation, Data Science, Machine Learning Methods, Algorithms, Data Manipulation, Python Programming
4.7
Rating, 4.7 out of 5 stars
12K reviews
Beginner · Course · 1 - 3 Months
Status: Free
Stanford University
Introduction to Mathematical Thinking
Skills you'll gain: Mathematical Theory & Analysis, Mathematics and Mathematical Modeling, Calculus, Deductive Reasoning, General Mathematics, Logical Reasoning
4.8
Rating, 4.8 out of 5 stars
2.9K reviews
Intermediate · Course · 1 - 3 Months
Johns Hopkins University
Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors
Skills you'll gain: Linear Algebra, Applied Mathematics, Algebra, Advanced Mathematics, Graph Theory, Geometry, Applied Machine Learning, Markov Model
4.9
Rating, 4.9 out of 5 stars
54 reviews
Mixed · Course · 1 - 3 Months
Johns Hopkins University
Algebra: Elementary to Advanced - Equations & Inequalities
Skills you'll gain: Algebra, Arithmetic, Mathematical Modeling, Graphing, Probability & Statistics, Calculus
4.8
Rating, 4.8 out of 5 stars
579 reviews
Beginner · Course · 1 - 3 Months
Status: Free
Princeton University
Analysis of Algorithms
Skills you'll gain: Combinatorics, Algorithms, Theoretical Computer Science, Mathematical Theory & Analysis, Computational Thinking, Data Structures, Advanced Mathematics, Mathematical Modeling, Probability, Probability Distribution
4.4
Rating, 4.4 out of 5 stars
1K reviews
Advanced · Course · 1 - 3 Months
Status: Free
Shanghai Jiao Tong University
Discrete Mathematics
Skills you'll gain: Combinatorics, Graph Theory, Theoretical Computer Science, Advanced Mathematics, Network Analysis, Logical Reasoning, Computational Thinking, Algorithms, Data Structures, Computer Science
3.3
Rating, 3.3 out of 5 stars
194 reviews
Intermediate · Course · 1 - 3 Months
Status: Free
Wesleyan University
Introduction to Complex Analysis
Skills you'll gain: Integral Calculus, Mathematical Theory & Analysis, Algebra, Advanced Mathematics, Geometry, Calculus, Visualization (Computer Graphics), Graphing, Derivatives
4.8
Rating, 4.8 out of 5 stars
1.1K reviews
Intermediate · Course · 1 - 3 Months
Korea Advanced Institute of Science and Technology(KAIST)
Math for AI beginner part 1 Linear Algebra
Skills you'll gain: Linear Algebra, Artificial Intelligence and Machine Learning (AI/ML), Artificial Intelligence, Applied Mathematics, Deep Learning, Machine Learning
4.4
Rating, 4.4 out of 5 stars
29 reviews
Beginner · Course · 1 - 3 Months
Status: Free
Yale University
Introduction to Psychology
Skills you'll gain: Psychology, Mental and Behavioral Health Specialties, Psychiatry, Mental Health, Human Development, Human Learning, Social Sciences, Psychotherapy, Behavioral Health, Sociology, Creativity, Non-Verbal Communication
4.9
Rating, 4.9 out of 5 stars
31K reviews
Beginner · Course · 1 - 3 Months
Imperial College London
Mathematics for Machine Learning
Skills you'll gain: Linear Algebra, Dimensionality Reduction, NumPy, Regression Analysis, Calculus, Applied Mathematics, Probability & Statistics, Data Transformation, Machine Learning Methods, Jupyter, Data Science, Advanced Mathematics, Statistics, Numerical Analysis, Geometry, Statistical Analysis, Artificial Neural Networks, Algorithms, Data Manipulation, Python Programming
4.6
Rating, 4.6 out of 5 stars
15K reviews
Beginner · Specialization · 3 - 6 Months

1 2 3 4…29

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

Algebra: Elementary to Advanced: Johns Hopkins University
Linear Algebra from Elementary to Advanced: Johns Hopkins University
Mathematics for Machine Learning: Linear Algebra: Imperial College London
Introduction to Mathematical Thinking: Stanford University
Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors: Johns Hopkins University
Algebra: Elementary to Advanced - Equations & Inequalities: Johns Hopkins University
Analysis of Algorithms: Princeton University
Discrete Mathematics: Shanghai Jiao Tong University
Introduction to Complex Analysis: Wesleyan University
Math for AI beginner part 1 Linear Algebra: Korea Advanced Institute of Science and Technology(KAIST)

Abstract Algebra Courses Online