FreeCampus Math

Rigorous, proof-aware mathematics courses for advanced study and demanding examinations.

Choose the mathematics course you need

Prepare for a demanding examination, repair a prerequisite, or study a subject in depth. Each course is independently navigable and combines precise theory, complete manual solutions, guided practice, cumulative review, and reproducible computation.

Browse all courses Begin Advanced Algebra

Independent, university-level courses

Choose by topic or study goal. Every course publishes its own prerequisites, outcomes, units, readiness guidance, and current development status. Suggested prerequisites explain mathematical dependencies without forcing you through a single sequence.

Advanced Algebra

A proof-aware, book-scale course in algebraic structure, functions, equations, inequalities, modeling, and trigonometry.

4 unit(s) · 27 activities · active

Linear Algebra

Vector spaces, matrix methods, linear maps, and spectral structure.

1 unit(s) · 6 activities · active

Differential Calculus

Limits, derivatives, approximation, optimization, and rigorous local reasoning.

1 unit(s) · 4 activities · active

Integral Calculus

Accumulation, the Fundamental Theorem, techniques, and applications.

1 unit(s) · 3 activities · active

Differential Equations

Qualitative, symbolic, and numerical analysis of dynamical models.

1 unit(s) · 5 activities · active

Discrete Mathematics

Logic, proof, sets, relations, sequences, induction, and graphs.

1 unit(s) · 6 activities · active

Probability

Axioms, conditioning, random variables, distributions, and expectation.

1 unit(s) · 6 activities · active

Statistics

Design, estimation, inference, comparison, and regression.

1 unit(s) · 10 activities · active

Mathematical Computing with Python

Reproducible numerical, symbolic, and visual mathematical work.

1 unit(s) · 4 activities · active

Cumulative Review and Practice

Interleaved retrieval, comprehensive assessment, and readiness reflection.

1 unit(s) · 1 activities · in-development

What rigorous study means here

Explain before calculating

Definitions, domains, hypotheses, and limitations remain visible. Worked solutions show why each step follows, not only which operation to perform.

Work manually and computationally

You first build an auditable mathematical argument, then use SymPy, NumPy, and other appropriate tools to verify, explore, and scale the idea.

Prepare for difficult problems

Guided exercises build technique; checkpoints, synthesis problems, and timed practice require you to select and justify methods without hints from a topic label.

Keep control of your learning record

Completion stays in your browser without an account. Raw answers and behavioral histories are not stored.

Continue your courses

Enable JavaScript to see browser-local progress. All lessons remain available without it.

Study methods and progress controls

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