Paul Online Notes ((full)) Link

| Course | Sub-Topics | Typical Audience | |--------|-------------|------------------| | | Rational expressions, graphing, exponentials, logarithms, trig functions, identities, inverse trig | High school, pre-calculus, or college students needing a refresher | | Calculus I | Limits, derivatives, applications of derivatives (optimization, related rates) | First-semester college calculus | | Calculus II | Integrals, techniques of integration, improper integrals, sequences, series, parametric equations, polar coordinates | Second-semester college calculus | | Calculus III | Vectors, 3D space, partial derivatives, multiple integrals, line integrals, Stokes’ theorem, divergence theorem | Third-semester / multivariable calculus | | Differential Equations | First & second order ODEs, Laplace transforms, series solutions, systems of DEs | Sophomore/junior level DE course |

❌ Students who need video explanations or interactive feedback. ❌ Learners with significant math anxiety (text-only can feel overwhelming). ❌ Those seeking advanced topics (linear algebra, probability). paul online notes

★★★★☆ (4.5/5) – Deducting half a star for lack of interactivity and mobile optimization, but otherwise unmatched for free, clear, and complete lower-division math notes. Report compiled on April 14, 2026. Information current as of this date. | Course | Sub-Topics | Typical Audience |