Free online courses in Algebra

Free online courses for developing essential mathematical skills

Study variables, expressions, equations, functions, polynomials and mathematical reasoning through free online courses designed for different learning levels. The selection supports students reviewing school mathematics, preparing for college, strengthening quantitative skills or exploring higher-level mathematical structures. Lessons cover arithmetic foundations, order of operations, factorization, exponents, radicals, inequalities, coordinate systems, graphs and systems of equations.

These courses combine educational content with exercises that help learners practice symbolic manipulation, equation solving, logical reasoning and problem-solving strategies. Exercises also provide opportunities to apply formulas, interpret functions and identify relationships among numerical, graphical and algebraic representations. Learners can progress from prealgebra concepts to intermediate, college and advanced subjects at their own pace.

Choose a course for your learning goals

Start with Prealgebra to review numerical operations, fractions, ratios and introductory variables. Continue with Intermediate Algebra for equations, inequalities, rational expressions and functions. The College Algebra Full Course offers broader study of polynomial, exponential and logarithmic functions.

Students interested in vectors, matrices, determinants, vector spaces, eigenvalues and linear transformations can explore the Linear algebra course. Each option is free, includes free certification and features exercises to reinforce learning. Course variety makes this collection useful for independent study, academic revision, exam preparation and continued mathematics education.

Explore related mathematical topics

Build a structured learning pathway with additional resources. Review introductory principles in Algebra basics, advance to equations and functions through Advanced Algebra, or investigate matrices and vector spaces with Linear algebra. Learners interested in abstract mathematics may also explore Topology, which introduces continuity, spaces, transformations and structural relationships.

Access the free courses in the Cursa app

To access the courses, lessons, exercises and free certification, users must install the Cursa app. Android users can install it through Google Play by selecting Download for Android. Apple users can install it from the App Store by selecting Download for iOS / iPhone. After installation, choose a course and begin studying online with flexible access to educational material.