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所在平台: Udemy |
课程主页: https://www.udemy.com/course/become-a-calculus-i-ace/
课程评论：没有评论
课程名称：成为微积分 I 大师 课程概述： 《成为微积分 I 大师》旨在帮助学生轻松成功地学习微积分 I。如果你想从大学教授那里学习微积分，但不想承担昂贵的学费，或被迫在特定时间进行测试并受到作业延迟的处罚，那么这个课程正适合你。课程由一位具有数学博士学位的大学数学教授设计，教授经验丰富，课程内容全面且高效，不遗漏任何必要的知识点。课程通过十年的教学经验，精心挑选出所需的三角函数工具，以循序渐进的方式呈现。 课程内容： - 每个章节均配有可下载的讲义、讲座视频和测验解决方案视频。 - 课程内容分为多个部分，包括：函数极限、极限定律与性质、连续性及其性质、无穷极限、导数的极限定义、导数的性质、幂法则、指数函数的导数、积和商法则、三角函数的导数、链式法则、隐式微分、对数及反三角函数的导数、对数微分、双曲三角函数、变化率及其应用、指数增长和衰减、相关变化率、线性近似、图形微积分、最小值与最大值、均值定理、图形与导数、不确定型、洛必达法则、图形草图与优化。 每节的内容包括： - 视频：每节都有完整的讲座视频，内容涵盖章节的“什么”，“如何”和“为什么”，并强调大量实例。每个例子都有详细步骤讲解，帮助学生清晰理解。建议学生在观看时进行跟随练习。 - 讲义：每节讲义几乎已预填，建议下载并随视频讨论逐步完成空白部分的练习题。每节末尾提供练习题和测验及答案键，并附有视频解答。 - 测验：每个章节配有测验，测验与讲义在同一.pdf中，视频解答视频会在讲座后及时发布。 最后，课程提供终身访问的机会，学员如有问题可在问答区提问，讲师会尽快回复。完成课程后，学员将获得可下载的结业证书。
Become a Calculus I Ace is setup for YOU to succeed and learn easily!Have you ever wanted to learn Calculus I from a college professor but didn't want to spend all that money on a college course, be forced to take tests at certain times, and be penalized if you don't do an assignment on time? If that is you, then you have come to the right place. Having experience as a college math professor, and having a Ph.D in Mathematics, I not only know what you need to learn, but what tools you need to succeed! I have designed this course to be as useful and efficient as possible for you without skipping any of the content that you will need. In my decade of experience teaching math, I have honed in on discovering the necessary tools you will need from Trigonometry and present them in a way that is a slow and steady build on what is covered throughout the course.For each lesson in this course, you receive a downloadable lecture handout, a lecture video, and a video of me going over the quiz solutions. At the end of the course, there is a final exam so you can see the progress you made. Become a Calculus I Ace is organized in a logical way so you can see the overall build up of Calculus I and has the following sections:Limits of a FunctionLimit Laws and Properties of LimitsContinuity and its PropertiesLimits at InfinityUndefined and Indeterminant LimitsThe Limit Definition of a DerivativeProperties of DerivativesThe Power Rule for DerivativesThe Derivative of an Exponential FunctionThe Product and Quotient RulesDerivatives of Trig FunctionsThe Chain RuleImplicit DifferentiationDerivatives of Logarithms and Inverse Trig FunctionsLogarithmic DifferentiationHyperbolic Trig FunctionsRates of Change (Applications of Derivatives)Exponential Growth and DecayRelated RatesLinear ApproximationGraph CalculusMinimum and Maximum ValuesThe Mean Value TheoremGraphs and Their DerivativesIndeterminate FormsL'Hospital's RuleGraph SketchingOptimizationContent of each section:Videos: In each section, you will get a full length lecture video. In each lecture, I first go over the "what" you will see in the section, then "how" and "why" of doing it. Then, you will see plenty of examples done. Every example is done going through a full explanation of all the steps so you can see the process done and understand it clearly. It is highly advised you follow along on your own and not just watch. Additionally, for each each section, there is a quiz solutions video where you can compare your work on the quizzes to mine. Lecture Notes: In each section, the lecture notes are (mostly) filled out for you. They are the same notes I go through and discuss in each section. I recommend downloading the lecture notes for each section and going through, following along (or maybe pause the video and try on your own) the empty spaces left for doing the problems. At the end of each lecture, there are practice problems and a quiz with an answer key. As stated above, there is also a video for each quiz's solutions as well.Quizzes: As a final mention, each section has a quiz; however, it is not a quiz built into the Udemy course. It is in the same.pdf as the lecture notes. The video solutions are uploaded directly after each lecture for ease of progression.Lastly, there will be a final exam, along with an answer key....Not to forget:With this course, you get it for a lifetime. You also can ask questions in the Q & A section if you have them and I will respond as quickly as possible. Additionally, upon completing the course, you will get a Certificate of Completion to download.
