Algebra Courses and Certifications

Career Certificate

Algebra 1: Solving Inequalities Algebraically

Learn to solve linear and compound inequalities algebraically and represent their solution ranges using number lines and interval notation.

• CodeSignal
• 7 hours
• Self-Paced
• Free Certificate

Algebra: Elementary to Advanced - Equations & Inequalities

655 ratings at Coursera

Build an algebraic foundation: work with real numbers and their properties, solve linear equations and inequalities, and handle polynomials, rational expressions, radicals, exponents and quadratics.

• Coursera
• 5 weeks, 2 hours a week
• Self-Paced
• Paid Course

Michael Penn

Unveiling the Most Diabolical Algebraic Identity Ever

Unveils an unusually intricate algebraic identity.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Irreducibility and the Schoenemann-Eisenstein Criterion - Famous Math Problems 20

See how Schoenemann’s mod‑p criterion proves prime-indexed cyclotomic polynomials irreducible and leads to Eisenstein’s criterion.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Michael Penn

Solving a Super Nice Functional Equation in Mathematics

A concise walkthrough of a single functional equation and its solution.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Michael Penn

A Very British Functional Equation Problem

A short look at a functional equation with a distinctly British flavor.

• YouTube
• 13 minutes
• Self-Paced
• Free Video

Michael Penn

An Identity with My Favorite Numbers

Michael Penn presents a mathematical identity involving some of his favorite numbers.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Kanpur

Modern Algebra

Explore how algebra abstracts geometric objects and numbers, revealing fundamental properties and enabling applications beyond direct methods.

• YouTube
• 14 hours
• Self-Paced
• Free Video

Michael Penn

Abstract Algebra - The Basics of Rings

Builds ring theory from the definition of a ring through ideals, homomorphisms, isomorphism theorems, and polynomial rings.

• YouTube
• 4 hours 36 minutes
• Self-Paced
• Free Video

Michael Penn

Abstract Algebra - The Basics of Groups

Develops the structure of groups through subgroup, homomorphism, quotient, and isomorphism theorems.

• YouTube
• 6 hours 31 minutes
• Self-Paced
• Free Video

Michael Penn

Abstract Algebra - Examples of Groups

Explore concrete groups through symmetries, permutations, and the quaternion group.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Michael Penn

Abstract Algebra - Preliminaries

Builds proof-writing techniques through direct, contrapositive, contradiction, and induction examples before introducing relations and binary operations.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Linear Algebra for Machine Learning and Data Science

2379 ratings at Coursera

Represent data as vectors and matrices: solve linear systems by elimination, work with rank, inverses, linear transformations, determinants, and eigenvectors through Python lab exercises.

• Coursera
• 4 weeks, 9 hours a week
• Self-Paced
• Paid Course

The Julia Programming Language

Why You Should Stop Using the Monomial Basis

See how symmetry-adapted and better-conditioned bases can reduce the complexity of polynomial optimization computations.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Math with Professor V

Determining Algebraically if a Function is Even, Odd, or Neither Using Radical Functions - Part 2

Works through algebraic tests for even, odd, or neither using radical functions and rational exponents.

• YouTube
• 14 minutes
• Self-Paced
• Free Video