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所在平台: Udemy |
课程主页: https://www.udemy.com/course/mr-sutton-presents-ap-calculus-ab/
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课程名称：Mr. Sutton Presents. AP Calculus AB 课程概述： 本课程由Mr. Sutton主讲，旨在以便捷、自定进度的方式教授AP微积分AB。课程特别注重清晰、简洁的教学风格，适合希望快速获取数学知识的学习者。课程包括丰富的练习题及答案，确保学生能够实践所学内容。 课程特色： 1. 清晰简洁的视频教学，直接进入主题，并提供必要的背景知识和应用实例。 2. 每节课配有PDF版本的课程讲义，方便学生回顾学习内容。 3. 提供填写空白的指导笔记，帮助学生在观看过程中做笔记。 4. 每节课包含2-4套练习题，配有可打印的手册及PDF和视频解答，总共提供额外的20-30小时视频内容。 5. 课程末有章节测验，帮助学生复习多个概念。 课程内容： - 极限与连续性 - 导数及其应用 - 积分及其应用 - 微分方程 - 曲线之间的面积与旋转体的体积 学习者能通过本课程掌握AP微积分AB的核心概念与技能，为未来的数学学习奠定坚实基础。
Mr. Sutton Presents.AP Calculus ABLet's cut out the fluffy description and get right to the point. You are looking for a convenient, self-paced way to learn some quality mathematics. You want a teacher who speaks, writes and explains clearly and without rambling in his videos. You want lots of practice problems with answers you can look up. You want to pay as little as possible for all this!Here is what all of my courses offer:Clear, concise videos that get to the point quickly with just enough "back story" to provide context, just enough "application" to spice it up, and carefully chosen examples to model the process.PDF versions of each lesson if you get sick of my voice or want to look back without hunting through the video. All lessons were recorded with PowerPoint slides, so you don't have to decipher my handwriting.A printable guided notes handout allowing you to fill-in-the-blanks while you watch each lesson. Very helpful if you learn better by writing things down but want to avoid needless rewriting or a disorganized jumble!2-4 practice problem sets per lesson, including printable handouts AND both PDF and video solutions of every single practice problem - an extra 20-30 hours of video content!End-of-chapter practice quizzes (with handouts and PDF/video solutions) to review multiple concepts at once. Here is what this course covers:Limits and ContinuityIntuitive Limits - FiniteIntuitive Limits - InfiniteAlgebraic Limits - Polynomials and Rational FunctionsAlgebraic Limits - Piecewise FunctionsLimits at InfinityContinuityIntermediate Value Theorem (IVT)Rate of ChangeDerivativesThe Power RuleDifferentiabilityGraphing DerivativesProduct and Quotient RulesDerivatives of Trigonometric FunctionsChain RuleImplicit DifferentiationTangent Lines and Higher Order DerivativesDerivatives of Exponential FunctionsDerivatives of Logarithmic FunctionsDerivatives of Inverse Trigonometric FunctionsApplications of DerivativesExtreme Values of FunctionsIncreasing and Decreasing IntervalsLocal ExtremaConcavityPoints of InflectionGraphical AnalysisMean Value TheoremLinearizationDerivatives of InversesL'Hospital's RuleMotionRelated RatesIntegralsAntiderivativesDefinite Integrals - Geometric ApproachRectangular Approximation Method (RAM)Trapezoidal RuleProperties of Definite IntegralsFTC - Derivative of an IntegralFTC - Graphical AnalysisFTC - Integral Evaluation (Polynomials)FTC - Integral Evaluation (Non-Polynomials and Function Values)Average ValueIntegration by SubstitutionApplications of IntegralsDifferential Equations in One VariableSeparable Differential EquationsSlope FieldsExponential Growth and DecayMotion and PositionTotal DistanceAccumulation ProblemsRate In Rate OutArea Between CurvesVolume - Solids of RevolutionVolume - Cross-SectionsIntegration With Respect to the Y-Axis
