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此资源集合涵盖了丰富的微积分学习材料。《The Calculus Lifesaver》是由Adrian Banner授课的课堂实录视频，课程内容循序渐进，从函数、极限理论、多项式示例，到连续性、可微性、三角函数极限等基础概念，逐步深入到隐函数求导、相关变化率、指数函数等复杂内容，还包括积分、级数、微分方程等重要板块，为学习者构建了系统的微积分知识体系。
《普林斯顿微积分读本修订版》以清晰易懂的讲解方式，帮助读者掌握微积分的核心概念与解题技巧。而James Stewart所著的《斯图尔特微积分中文版》上下册，是经典的微积分教材，内容全面且深入，广泛应用于众多高校的微积分教学中。此外，还有《托马斯微积分第十版》及其答案，托马斯微积分以其严谨的逻辑和丰富的实例，助力学习者深入理解微积分知识。
这些资源适合对微积分感兴趣的学生、教师以及自学人士，无论是初学者夯实基础，还是进阶者深化理解，都能从中获益。
P1 Functions trig.mp4205.8MBP2 Limits theory and polynomial examples.mp4183.45MBP3 Continuity, differentiability, trig limits.mp4202.17MBP4 Trig limits (continued), how to solve differentiation problems, trig derivatives.mp4203.33MBP5 Implicit differentiation, related rates.mp4200.94MBP6 Exponentials, review of topics so far.mp4195.68MBP7 Inverse functions, inverse trig functions, linearization.mp4199.07MBP8 More on the differential, extrema, RolleMean Value Theorem, critical points.mp4195.14MBP9 Classifying critical points, sketching graphs.mp4224.9MBP10 Optimization, L'Hopital's Rule.mp4201.54MBP11 Sigma notation, Riemann sums, integration, introduction to the Fundamental....mp4194.28MBP12 Fundamental Theorems, integration by substitution.mp4202.02MBP13 Substitution revisited, integration by parts, integrals involving trig limits.mp4187.13MBP14 Partial fractions.mp4196.82MBP15 Trig integrals, trig substitutions, and summary of integration techniques.mp4198.33MBP16 Volumes of revolution, arc lengths, and surface areas.mp4202.4MBP17 Improper integrals, part 1.mp4209.29MBP18 Improper integrals, part 2.mp4204.54MBP19 Sequences and series, part 1.mp4200.37MBP20 Sequences and series, part 2, introduction to power.mp4192.71MBP21 Estimation using Taylor series, the remaindererror term, radius of convergence.mp4212.28MBP22 More about power and Taylor series, introduction to complex numbers.mp4200.33MBP23 Complex numbers, separable first-order differential equations.mp4199.61MBP24 First order linear differential equations, firstsecond order constant....mp4203.41MB
普林斯顿微积分读本修订版.pdf127.49MB斯图尔特微积分中文版上册 (James Stewart).pdf55.72MB斯图尔特微积分中文版下册 (James Stewart).pdf36.54MB托马斯微积分10版答案.pdf34.62MB托马斯微积分第十版.pdf48.55MB
