About this Course
11,910

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Beginner Level

Approx. 41 hours to complete

Suggested: 3-4 hours/week...

Chinese (Simplified)

Subtitles: Chinese (Simplified)

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Beginner Level

Approx. 41 hours to complete

Suggested: 3-4 hours/week...

Chinese (Simplified)

Subtitles: Chinese (Simplified)

Syllabus - What you will learn from this course

Week
1
2 hours to complete

数理逻辑:基本概念

...
12 videos (Total 89 min), 1 reading, 1 quiz
12 videos
02-正式内容之前:形式化及其极限18m
03-正式内容之前:悖论、版画、卡农11m
04-数理逻辑介绍4m
05-什么是命题5m
06-排中律5m
07-命题符号化6m
08-逻辑联结词(上)6m
09-逻辑联结词(下)7m
10-命题公式6m
11-真值函数6m
12-命题形式化6m
1 reading
课件10m
1 practice exercise
测验#16m
Week
2
3 hours to complete

数理逻辑:命题逻辑及形式系统

...
13 videos (Total 142 min), 1 reading, 1 quiz
13 videos
14-逻辑等价式和逻辑蕴涵式17m
15-代入原理和替换原理5m
16-证明逻辑等价式和逻辑蕴涵式13m
17-范式及基本术语7m
18-求范式的一般步骤10m
19-主范式14m
20-联结词集完备性10m
21-形式系统和证明、演绎7m
22-命题演算形式系统PC9m
23-PC中的定理证明7m
24-三个元定理15m
25-定理判定问题15m
1 reading
课件10m
1 practice exercise
测验#28m
Week
3
2 hours to complete

数理逻辑:谓词逻辑及形式系统

...
7 videos (Total 78 min), 1 reading, 1 quiz
7 videos
27-数理逻辑-谓词公式9m
28-数理逻辑-谓词公式永真式13m
29-数理逻辑-谓词演算形式系统FC9m
30-数理逻辑-全称引入规则及存在消除规则8m
31-数理逻辑-自然推理系统14m
32-数理逻辑-ND中的定理证明6m
1 reading
课件10m
1 practice exercise
测验#314m
Week
4
3 hours to complete

集合论:集合代数

...
9 videos (Total 128 min), 1 reading, 1 quiz
9 videos
34-集合基本概念15m
35-子集合13m
36-集合基本运算23m
37-集合族及运算17m
38-归纳定义10m
39-自然数的定义11m
40-归纳原理7m
41-数学归纳法11m
1 reading
课件10m
1 practice exercise
测验#414m
4.7
38 ReviewsChevron Right

67%

started a new career after completing these courses

40%

got a tangible career benefit from this course

25%

got a pay increase or promotion

Top Reviews

By ZWJun 30th 2017

very good brief introduction for further study in computer science, especially in algorithm

Instructor

Avatar

陈斌

副教授
北京大学

About Peking University

Peking University is determined to make its education openly accessible to students in China and around the world. With over 3000 faculty members, Peking University offers excellence in teaching and learning. Founded in 1898, Peking University (PKU) was the first national comprehensive university in China. For the past 115 years, with its hundreds of thousands of outstanding alumni, Peking University has made prominent contributions in the humanities and sciences to further China's prosperity and progress....

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

More questions? Visit the Learner Help Center.