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所在平台: Udemy |
课程主页: https://www.udemy.com/course/advanced-calculusreal-analysis-with-the-math-sorcerer/
课程评论：没有评论
课程名称：与数学巫师一起学习高级微积分/实分析 课程概述：此课程为大学水平的高级微积分/实分析选修课，重点在于证明的书写。高级微积分（即实分析）通常被认为是数学专业中最具挑战性的课程。本课程比一般数学课程更进一步，学员需具备写作证明和数学符号的基础知识。 学习方式： 1. 观看视频，并尽量用铅笔和纸跟随笔记。 2. 尝试按照讲师的方式书写证明。如果你能够理解证明，这意味着你已经掌握了大量的高级微积分知识。如果你能够独立书写证明，那你就真正在数学上提升到了一个新境界。 3. 重复这一过程！ 课程承诺：即使完成课程的50%，你也将获得丰富的高级微积分知识，最重要的是，你的数学成熟度将显著提高。高级微积分是一门美丽但 notoriously difficult （声名卓著的困难）的学科，希望你能像我一样享受这一过程。 课程格式：此课程包含许多极短的视频，适合希望每天花少量时间学习数学的学生。即使你每天只做一个视频，这也是非常有价值的。因为视频数量众多，你可以进行长期学习，即使每天仅学习一天的一个视频。记住，数学学习可能具有挑战性且耗时，因此每天坚持一点将使你的学习之旅更为愉快。希望你能享受此课程并学到丰富的数学知识。
This is a University Level course on Selected Topics in Advanced Calculus/Real Analysis with a major focus on WRITING PROOFS:)Note: Advanced Calculus(aka Real Analysis) is typically considered the HARDEST course a mathematics major will take. This course is a step above a general mathematics course. Students should have familiarity with writing proofs and mathematical notation.Basically just,1) Watch the videos, and try to follow along with a pencil and paper, take notes! 2) Try to learn to write the proofs as I do. If you understand the proofs then you have learned a great deal. If you can write the proofs on your own then you have really graduated to the next level.3) Repeat!If you finish even 50% of this course you will know A LOT of Advanced Calculus and more importantly your level of mathematical maturity will go up tremendously!Advanced Calculus is a beautiful yet notoriously difficult subject to learn and teach. I hope you enjoy watching these videos and working through these problems as much as I have:)Note this course has lots of very short videos. If you are trying to learn math then this format can be good because you don't have to spend tons of time on the course every day. Even if you can only spend time doing 1 video a day, that is honestly better than not doing any mathematics. You can learn a lot and because there are so many videos you could do 1 video a day for a very long time. Remember that math can be challenging and time consuming, so if you just do a little bit every day it can make your journey much more enjoyable. I hope you enjoy this course and learn lots of mathematics.
