Calculus: Problems and Solutions - An Advanced Workbook
English | September 5, 2026 | ASIN: B0H1LLM9QX | 60 pages | Epub | 846.78 KB
A complete, problem-driven calculus workbook for readers who already know the basics and want to build real fluency - through limits, derivatives, integrals, series, multivariable calculus, and differential equations, all the way to Calc III.Every chapter opens with a compact review of the key definitions and theorems, then moves straight into fully worked problems: the question stated exactly as you'd see it on an exam, followed by a complete step-by-step solution showing every algebraic move, not just the final answer.This book covers:Limits and continuity, including L'Hopital's Rule and the Intermediate Value TheoremDerivatives and differentiation rules, implicit and logarithmic differentiationApplications of derivatives: optimization, related rates, curve sketchingIntegration techniques: substitution, integration by parts, trig substitution, partial fractionsApplications of integrals: area between curves, volumes of revolution, arc lengthSequences and series, convergence tests, Taylor and Maclaurin seriesMultivariable calculus: partial derivatives, gradients, Lagrange multipliers, double and triple integralsAn introduction to differential equations: separable, linear, and second-order equationsEach chapter includes diagrams illustrating the key ideas, a set of unworked practice problems, and short discussions connecting the math to real applications, from neural network training to quantum mechanics. A full answer key is included in the appendix.Whether you're reviewing for an exam, preparing for a technical career, or simply want to build genuine problem-solving fluency in calculus, this book was designed to be worked through, not just read.
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