英语四级听力 vs Calculus

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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 • 108 interactive concept animations — play, scrub and watch the key change happen instead of imagining it • 327 worked examples with complete solutions, visual hints and the mistakes students usually make • 1,215 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 • Study Desk: a 2-minute micro-experiment every day, a Lab Notebook for your own conjectures, and a library of 219 counterexamples • A searchable library of 12 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 and Fourier series • Multivariable differential calculus — partial derivatives, gradient, tangent planes, Lagrange multipliers • Vectors and 3D analytic geometry • Multiple integrals — double and triple integrals, cylindrical and spherical coordinates • Line and surface integrals — Green's, divergence and Stokes' theorems Great for Calculus I, II and III, AP Calculus AB/BC review, and exam prep. TRY IT FIRST Chapter 1 is completely free — animations, examples and practice all work, no time limit and no account. To unlock every chapter, choose Calculus Pro: a monthly or yearly auto-renewable subscription (the yearly plan may include a free trial for eligible users), or a one-time lifetime purchase. No ads. Works on iPhone, iPad and Mac. SUBSCRIPTION DETAILS Payment is charged to your Apple Account at confirmation of purchase. Subscriptions renew automatically unless cancelled at least 24 hours before the end of the current period. Manage or cancel anytime in Settings > Apple Account > Subscriptions. Prices are shown in the app before you buy. 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, German, Italian, Portuguese, Japanese, Korean, Arabic, Hindi and Chinese. Privacy: https://vaca.vip/advancedmathematics/en/privacy Support: https://vaca.vip/advancedmathematics/en/support Terms of Use (EULA): https://www.apple.com/legal/internet-services/itunes/dev/stdeula/