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Desmos is a free online graphing calculator and math exploration platform that lets you plot functions and visualize Calculus concepts like derivatives and integrals. It also provides interactive activities and classroom resources to support learning and teaching.

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Calculus II: Series & Sequences

Chapter of Paul Dawkins's free Calculus II notes covering sequences, infinite series, partial sums, the integral, comparison, alternating, ratio and root tests, absolute convergence, power series and Taylor series, with worked examples. Learners can decide convergence and represent functions as power series.

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Paul's Online Math Notes - Calculus I

Lamar University lecture notes covering limits, derivatives, and integrals, with worked examples and graded practice problem sets. Readers finish able to compute derivatives and integrals of standard functions and apply them to optimization and related-rates problems.

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Calculus One (Full Course)

Full-length recorded lectures from Professor Leonard's first-semester calculus class, covering limits, continuity, derivatives and their applications, and introductory integration. Each topic is worked example by example at classroom pace, suited to self-study alongside a textbook.

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Complex Variables with Applications (MIT 18.04)

Complex analytic functions and their applications: Cauchy's theorem and integral formula, Taylor and Laurent series, residues for evaluating hard integrals, harmonic functions, conformal maps, two-dimensional fluid flow, and Laplace and Fourier transforms. Provides 14 lecture note files plus problem sets and exams with solutions.

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Real Analysis (MIT 18.100A)

Rigorous foundations of calculus: real numbers, convergence of sequences and series, continuity, differentiability, the Riemann integral, sequences and series of functions, uniform convergence and interchange of limits. Includes 25 lecture videos, notes, problem sets and exams, and teaches how to read and construct proofs.

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Essence of Calculus

Master integration with Grant Sanderson! This calculus course unlocks the essence of integration through intuitive visuals.

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