《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 OpenCourseWare
- YouTube:MIT 6.042J Mathematics for Computer Science, Fall 2010 - YouTube
- B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)
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…