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所在平台: Udemy |
课程主页: https://www.udemy.com/course/calculus-1-complete/
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课程名称：微积分 1 - 完整的微分微积分课程 课程概述：你已经完成了预备微积分的学习，准备迎接更深入的内容！微积分是变化的数学，用于建模和理解现实世界中的许多现象——从科学和工程到金融、经济学和医学，几乎没有哪个领域不以某种方式运用微积分。微积分 1 主要集中在微分技巧及其应用，但在此之前打好基础至关重要。因此，我们首先探讨极限与连续性的关键概念，并在此基础上定义导数。课程的核心则专注于基本和高级微分技巧，随后解答一系列涉及导数应用的问题。 本课程适合人群：本课程旨在通过清晰的教学视频和相关的练习题，帮助你掌握微分微积分。无论你是想从零开始学习微积分 1，还是在学校或大学中需要额外支持，亦或是为微积分 1 考试做准备。本课程将帮助你复习关键的微分技巧，并提供超过200个相关练习题及完整解答，使你为微积分 2 课程的学习做准备。该课程包含11小时的教学视频，帮助你快速建立关键的微分技能。 课程收获：微积分 1 是一门内容丰富且具有挑战性的课程。通过掌握核心技巧，你将能够回答各种课堂和现实生活中的问题。每个教学视频教授一种技巧，结合少量理论与示例问题，最后通过章节总结练习巩固所学内容。课程中包含逐步解答的解决方案，以便你在学习过程中检查自己的作业。参加本课程，你将学习到： - 微分的基础知识——极限与连续性 - 微分的基本原理 - 核心微分技巧——乘方法则、乘积法则和商法则 - 链式法则，使你能够微分各种函数 - 高级微分技巧和洛必达法则 - 导数的应用，例如局部极值和优化问题 通过本课程，你将全面提升你的微分微积分能力，扎实基础，迎接更多挑战。
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. Although Calculus 1 is largely focused on differentiation techniques and their applications, it's important to set some foundations first. So, we start by looking at the key concepts of limits and continuity, and build upon these to define the derivative. The core of the course then focuses on primary and advanced differentiation techniques, before moving on to answer a range of questions which apply derivatives in some way.This Course is For YouI created this course to help you master differential Calculus through clear instructional videos and relevant practice questions. There are many reasons why you might want to take this course:To learn Calculus 1 from scratch For additional support if you're taking Calculus 1 in school or collegeTo help you prep for a Calculus 1 assessment To review key Differentiation techniques To access more than 200 relevant practice questions with full solutions As prep for taking a Calculus 2 course11 hours of instructional videoWhatever your reason this course will help you build key differentiation skills quickly. What You'll Take Away From This CourseCalculus 1 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 differentiation - limits and continuity The first principles of differentiationCore differentiation techniques - the Power, Product and Quotient rules The Chain Rule which allows you to differentiate a wide range of functionsAdvanced differentiation techniques and L'Hopital's ruleApplications of derivatives such as local extrema and optimisation
