Calculus Volume 2

Livro digital

Título:
Calculus Volume 2

Autor:
OpenStax

Categoria:
Tecnologia > Geral

Doador:
Raffaello D. N.

Sinopse:
The hardest part of second-semester calculus is not the formulas — it is knowing which technique to reach for. Calculus Volume 2 by OpenStax picks up exactly where Volume 1 ends and systematically builds the strategic toolkit that transforms integration from a mechanical exercise into a flexible problem-solving skill. The table of contents opens with integration techniques and their applications, then advances into territory that forms the mathematical backbone of engineering and physics. The book covers integration by parts, trigonometric integrals and substitution, partial fractions, numerical integration, and improper integrals — each presented with clear conditions for when to apply them. From there it moves into an introduction to differential equations, followed by a thorough treatment of sequences and series: convergence tests, power series, Taylor and Maclaurin series. The final chapter on parametric equations and polar coordinates bridges the gap to multivariable calculus. Student projects and real-world applications appear throughout. Produced by Rice University and freely available under a Creative Commons license, this volume is the standard reference for second-semester calculus in hundreds of U.S. institutions. For students who need mastery over series, ordinary differential equations, and parametric representations, this is a complete and cost-free resource.