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所在平台: Udemy |
课程主页: https://www.udemy.com/course/calculus-2-complete/
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课程名称：微积分2 - 完整的积分微积分课程 课程概述：通过预备微积分，你已经为接下来的学习做好了准备！微积分是研究变化的数学工具，被广泛应用于科学、工程、金融、经济及医学等许多现实领域。微积分2课程将从一些关键概念开始，然后深入核心和高级的积分技术及应用，接着我们将关注参数方程和极坐标函数，以及数列和级数。 这门课程旨在帮助你通过清晰的教学视频和相关的练习题来掌握积分微积分。不论你是从零基础开始学习，还是希望在学校中获得额外支持，或者为即将到来的评估做准备，这门课程都能满足你的需求。课程提供超过300道相关的练习题，包含完整的解答。总计21小时的教学视频，助你快速培养关键技能。 通过这门课程，你将学到： - 积分的基础 - 反导数和黎曼和 - 核心积分技术 - 幂法则、链法则及三角法则 - 分部积分法，扩展你可以积分的函数 - 高级积分技术，如不当积分 - 导数的应用 - 如求曲线下的面积和旋转体的体积 - 参数方程和极坐标函数及其常见应用 - 数列、级数及其收敛性测试 - 幂级数，如泰勒级数和麦克劳林级数 每个教学视频教授一种技术，理论与示例问题相结合，章节末尾的复习练习帮助你巩固所学。课程亦提供逐步解决方案，便于你自我检查。通过这门课程，你将掌握核心技术，能够应对课堂及现实中的多种问题。
So you've made it through Pre-Calculus and are ready for the good stuff! Calculus is the Mathematics of change and used to model and understand many phenomena in the real world - from science and engineering to finance, economics and medicine - it's difficult to find a field which doesn't employ Calculus in some way. We start the Calculus 2 course with some key concepts before moving onto core and advanced integration techniques and applications. We then turn our attention to parametric & polar functions, and sequences & series. This Course is For YouI created this course to help you master integral Calculus through clear instructional videos and relevant practice questions. There are many reasons why you might want to take this course:To learn Calculus 2 from scratch For additional support if you're taking Calculus 2 in school or collegeTo help you prep for a Calculus 2 assessment To review key Integration techniques To access more than 300 relevant practice questions with full solutions As prep for taking further Math, engineering or other courses21 hours of instructional video!Whatever your reason this course will help you build key skills quickly. What You'll Take Away From This CourseCalculus 2 is a challenging course with a lot of content. But by mastering core techniques you'll be able to answer a wide variety of questions both in class and in the real-world. Each instructional video teaches one technique and mixes a small amount of theory with example problems. You will then practice what you've learnt in the end of section review exercise. I've also included step-by-step solutions so you can check your work as you go. Take this course and you will learn:The foundations of integration - antiderivatives and Riemann sumsCore integration techniques - the Power Rule, Chain Rule and Trigonometric rules Integration by Parts which extends the functions you can integrateAdvanced differentiation techniques such as improper integralsApplications of derivatives such as finding areas under curves and volumes of revolutionParametric and polar function and common applicationsSequences, series, and series convergence tests Power series such as Taylor Series and Maclaurin Series
