Single variable to space · 131 ideas
The Calculus Atlas
Calculus asks two questions and then discovers they are the same question: how fast a quantity is changing, and how much of it has accumulated. Volume I builds that machinery on the real line, Volume II turns it into a craft and follows infinite sums, Volume III carries it into space.
IVolume I
Calculus I
Functions and limits, the derivative and its applications, and the first integrals.
45 ideas6 chapters
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IIVolume II
Calculus II
Techniques of integration, differential equations, sequences and power series, and parametric & polar curves.
43 ideas7 chapters
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IIIVolume III
Calculus III
Parametric & polar curves, vectors and their functions, partial derivatives, multiple integrals, vector calculus, and second-order equations.
43 ideas7 chapters
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Made by Tong Wu with Claude · content draws on OpenStax Calculus Volume 1, Volume 2 & Volume 3, and the UTSA Department of Mathematics course catalog.