正修微積分 vs Calculus

本程式模擬麻省理工學院開放式課程,以四技大一微積分為主,高中數學及國高中銜接課程為輔。加入影音講解,內容針對初學入門者,偏重運算,尤其適合技職體系的同學。可配合學校教學,達到預習及複習的效果。

Calculus you can see is calculus you can learn. Calculus: Learn & Practice turns a full first-year calculus course into one clear path: build intuition with an interactive animation, follow a worked example step by step, then prove to yourself you've got it with instantly graded practice. WHAT'S INSIDE • 51 interactive concept animations — play, scrub and watch the key change happen instead of imagining it • 119 worked examples with complete solutions, visual hints and the mistakes students usually make • 428 practice problems graded the moment you submit, each with a full solution • Math-history stories with the original problems: Zeno's paradoxes, Archimedes' π, Fermat and Descartes' fight over tangents • Mistake tracking and mastery per concept, so you know exactly what to review • Spaced review that brings a topic back right before you'd forget it • A searchable library of 9 chapters, filterable by topic, tag and difficulty TOPICS COVERED • Limits and continuity • Derivatives and differentials • Applications of derivatives — optimization, related rates, MVT, curve sketching, L'Hôpital's rule, Taylor polynomials • Integrals — FTC, substitution, integration by parts, partial fractions, improper integrals • Applications of integration — area, volume, arc length, work • Differential equations • Infinite series — convergence tests, power series, Taylor series • Multivariable differential calculus — partial derivatives, gradient, tangent planes, Lagrange multipliers • Multiple integrals — double and triple integrals Great for Calculus I and II, AP Calculus AB/BC review, and exam prep. Not covered, so you can decide before you buy: vector calculus (line and surface integrals). TRY IT FIRST Chapter 1 is completely free — animations, examples and practice all work, no time limit and no account. If you like it, one purchase unlocks every chapter forever. No subscription, no ads. Buy once, use on iPhone, iPad and Mac. Your progress stays on your device. Purchases are handled securely by Apple and can be restored anytime. Every lesson, example and problem is available in English, Spanish, French, Portuguese, Japanese, Arabic, Hindi and Chinese. Privacy: https://vaca.vip/advancedmathematics/en/privacy Support: https://vaca.vip/advancedmathematics/en/support