数学学习

数学学习

简介链接内容安排更多《Mathematics for Computer Science》 - MIT 6.042J&18.062J FALL 2011

简介《Mathematics for Computer Science》是麻省理工学院计算机科学与工程专业本科生的初等离散数学课程。课程涵盖了国外计算机科学专业涉及的基础数学知识,内容涉及形式逻辑符号、数学证明、归纳、集合与关系、图论基础、排列与组合、计数原理、离散概率、递归等,特别强调数学定义、证明及其应用方法。(摘自豆瓣)

链接

课程官网:Mathematics for Computer Science - MIT OpenCourseWareYouTube:MIT 6.042J Mathematics for Computer Science, Fall 2010 - YouTubeB站翻译:[中字]麻省理工学院公开课:计算机科学的数学 MIT 6.042J&18.062J (up: 国家八级保护废物)

(目前更新了10节)

英文教材: https://courses.csail.mit.edu/6.042/spring17/mcs.pdf 中文教材:计算机科学中的数学:信息与智能时代的必修课 (豆瓣)

内容安排来自官网 Calendar:

LEC #

TOPICS

KEY DATES

1

Introduction and proofs

2

Induction

Problem set 1 due

3

Strong induction

4

Number theory I

Problem set 2 due

5

Number theory II

6

Graph theory and coloring

Problem set 3 due

7

Matching problems

8

Graph theory II: minimum spanning trees

Problem set 4 due

9

Communication networks

10

Graph theory III

Problem set 5 due

11

Relations, partial orders, and scheduling

12

Sums

Problem set 6 due

13

Sums and asymptotics

14

Divide and conquer recurrences

Problem set 7 due

Midterm

15

Linear recurrences

16

Counting rules I

Problem set 8 due

17

Counting rules II

18

Probability introduction

Problem set 9 due

19

Conditional probability

Problem set 10 due

20

Independence

21

Random variables

Problem set 11 due

22

Expectation I

23

Expectation II

Problem set 12 due

24

Large deviations

25

Random walks

更多待补充…

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