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所在平台: Udemy |
课程主页: https://www.udemy.com/course/intro-to-calculus-1/
课程评论：没有评论
课程名称：微积分入门 1 课程概述：本课程分为三个部分：极限、导数和积分。您将了解极限的意义，以及寻找极限的不同技术，涵盖四种不连续性、无穷大极限、含有根号的极限、三角极限、洛必达法则和基本极限问题。您将学习导数的概念以及寻找导数的各种技术，包括幂法则、乘法法则、除法法则、隐式求导、链式法则、对数导数、罗尔定理、均值定理和极值。此外，课程还将探讨导数在实际中的应用，例如最大值和最小值问题、相关速率问题等。最后，您将接触限值及其应用，如u-替换法、不定积分和定积分，以及微积分基本定理。所有教学内容均为视频讲解，无需下载烦琐资料。建议准备一个大笔记本，边看边记，就像在真实大学上课一样。所有练习题均有视频指导，步骤清晰，您可以自主学习，随时暂停。完成本课程后，您将掌握寻找任何极限和导数的能力，并对导数相关的应用问题有良好的基础。同时，您也将对限值、u-替换法、定积分和不定积分有扎实的理解，这些知识将在微积分 2 中派上用场。
This course is broken in three section: limits, derivatives, and integrals. You will understand the meaning of what a limit is, and the different techniques for finding limits including: 4 types of discontinuities, limits at infinity, limits with radicals, trig limits, l'hopital rule, and basic limits problems. You will learn what is a derivative, and all the different techniques for finding a derivative including: power rule, product rule, quotient rule, implicit differentiation, chain rule, logarithmic derivatives, rolles theorem, mean-value theorem, extremas. Also you will apply derivatives in the real world such as max and min problems, related rate problems. Finally you will be introduced to limits such as u-substitution, indefinite, and definite integrals, fundamental theorem of calculus. Everything is video based lecture there's no unnecessary downloads. I recommend getting a large notebook, and writing down good as we go along as if you were in a real university. All the practice problems are video based with step by step guide in solving the problems. You can work on your own paste, and pause any time. After completing this course you will be good at finding any limit, finding any type of derivative with a good foundation of solving a word problem involving derivatives. Also you will have a good foundation of what a limit is and using using u-substitution, definite, indefinite integral, and fundamental theorem calculus which will come in handy in calculus 2.
