MIT Calculus Course
课程简介
- 所属大学:MIT
- 先修要求:英语
- 编程语言:无
- 课程难度:🌟🌟
- 预计学时:因人而异
MIT 的微积分课由 MIT18.01: Single variable calculus 和 MIT18.02: Multi variable calculus 两门课组成。对自己数学基础比较自信的同学可以只看课程 notes,写得非常浅显生动并且抓住本质,让你不再疲于做题而是能够真正窥见微积分的本质魅力。
配合油管数学网红 3Blue1Brown 的微积分的本质系列视频食用更佳。
课程资源
MIT Calculus Course
Descriptions
- Offered by: MIT
- Prerequisites: English
- Programming Languages: None
- Difficulty: 🌟🌟
- Class Hour: Varying from person to person
The calculus course at MIT consists of MIT18.01: Single Variable Calculus and MIT18.02: Multivariable Calculus. If you are confident in your math, you can just read the course notes, which are written in a very simple and vivid way, so that you will not be tired of doing homework but can really see the essence of calculus.
In addition to the course materials, the famous Youtuber 3Blue1Brown's video series The Essence of Calculus are also great learning resources.
Course Resources
- Course Website: 18.01, 18.02
- Recordings: refer to course website
- Textbook: refer to course website
- Assignments: refer to course website
UCB CS126 : Probability theory
课程简介
- 所属大学:UC Berkeley
- 先修要求:CS70、微积分、线性代数
- 编程语言:Python
- 课程难度:🌟🌟🌟🌟🌟
- 预计学时:100 小时
伯克利的概率论进阶课程,涉及到统计学、随机过程等理论相对深入的内容,需要相当的数学基础,我在上这门课的时候也感到有些吃力,不过坚持下来一定会让你对概率论的掌握达到一个新的高度。
同时这门课非常强调理论与实践的结合,课程设计者 Jean Walrand 教授专门写了一本配套的教材Probability in Electrical Engineering and Computer Science,书中每个章节都会以一个具体的算法实践作为例子来展示理论在实际当中的运用,例如 PageRank, Route Planing, Speech Recognition 等等,并且全书开源,可以免费下载 PDF 或者 Epub 版。
这还不算完,Jean Walrand 还为整本书里的例子设计了配套的 Python 实现,以 Jupyter Notebook 的形式在线发布,读者可以在线修改、调试和运行。
与此同时,这门课除了理论作业之外,还有 9 个编程作业,会让你用概率论的知识解决实际问题。
课程资源
- 课程网站:https://inst.eecs.berkeley.edu/~ee126/fa20/content.html
- 课程教材:PDF, Epub, Jupyter Notebook
- 课程作业:14 个书面作业 + 9 个编程作业,具体要求参见课程网站。
资源汇总
@PKUFlyingPig 在学习这门课中用到的所有资源和作业实现都汇总在 PKUFlyingPig/EECS126 - GitHub 中。
UCB CS126 : Probability theory
Descriptions
- Offered by: UC Berkeley
- Prerequisites: CS70, Calculus, Linear Algebra
- Programming Languages: Python
- Difficulty: 🌟🌟🌟🌟🌟
- Class Hour: 100 hours
This is Berkeley's advanced probability course, which involves relatively advanced theoretical content such as statistics and stochastic processes, so a solid mathematical foundation is required. But as long as you stick with it you will certainly take your mastery of probability theory to a new level.
The course is designed by Professor Jean Walrand, who has written an accompanying textbook, Probability in Electrical Engineering and Computer Science, in which each chapter uses a specific algorithm as a practical example to demonstrate the application of theory in practice. Such as PageRank, Route Planing, Speech Recognition, etc. The book is open source and can be downloaded as a free PDF or Epub version.
Jean Walrand has also created accompanying Python implementations of the examples throughout the book, which are published online as Jupyter Notebook that readers can modify, debug and run them online interactively.
In addition to the Homework, nine Labs will allow you to use probability theory to solve practical problems in Python.
Course Resources
- Course Website: https://inst.eecs.berkeley.edu/~ee126/fa20/content.html
- Textbook: PDF, Epub, Jupyter Notebook
- Assignments: refer to the course website.
Personal Resources
All the resources and assignments used by @PKUFlyingPig in this course are maintained in PKUFlyingPic/EECS126 - GitHub
MIT Calculus Course
课程简介
- 所属大学:MIT
- 先修要求:英语
- 编程语言:无
- 课程难度:🌟🌟
- 预计学时:因人而异
MIT 的微积分课由 MIT18.01: Single variable calculus 和 MIT18.02: Multi variable calculus 两门课组成。对自己数学基础比较自信的同学可以只看课程 notes,写得非常浅显生动并且抓住本质,让你不再疲于做题而是能够真正窥见微积分的本质魅力。
配合油管数学网红 3Blue1Brown 的微积分的本质系列视频食用更佳。
课程资源
MIT Calculus Course
课程简介
- 所属大学:MIT
- 先修要求:英语
- 编程语言:无
- 课程难度:🌟🌟
- 预计学时:因人而异
MIT 的微积分课由 MIT18.01: Single Variable Calculus 和 MIT18.02: Multivariable Calculus 两门课组成。对自己数学基础比较自信的同学可以只看课程 notes,写得非常浅显生动并且抓住本质,让你不再疲于做题而是能够真正窥见微积分的本质魅力。
配合油管数学网红 3Blue1Brown 的微积分的本质系列视频食用更佳。
课程资源
MIT Calculus Course
课程简介
- 所属大学:MIT
- 先修要求:英语
- 编程语言:无
- 课程难度:🌟🌟
- 预计学时:因人而异
MIT 的微积分课由 MIT18.01: Single variable calculus 和 MIT18.02: Multi variable calculus 两门课组成。对自己数学基础比较自信的同学可以只看课程 notes,写得非常浅显生动并且抓住本质,让你不再疲于做题而是能够真正窥见微积分的本质魅力。
配合油管数学网红 3Blue1Brown 的微积分的本质系列视频食用更佳。
课程资源
MIT Calculus Course
课程简介
- 所属大学:MIT
- 先修要求:英语
- 编程语言:无
- 课程难度:🌟🌟
- 预计学时:因人而异
MIT 的微积分课由 MIT18.01: Single Variable Calculus 和 MIT18.02: Multivariable Calculus 两门课组成。对自己数学基础比较自信的同学可以只看课程 notes,写得非常浅显生动并且抓住本质,让你不再疲于做题而是能够真正窥见微积分的本质魅力。
配合油管数学网红 3Blue1Brown 的微积分的本质系列视频食用更佳。