开始时间: 待定 持续时间: 11 weeks
授课老师： Yuchun Ma
*Note - This is an Archived course*
Our lives are full of combinations. Combinatorial mathematics is just the science to deal with combinations of discrete items. As an ancient field, the history of combinatorial mathematics could be traced back over 4000 years to the age of the Great Yu in ancient China. Nowadays, it is regarded as the fundamental knowledge of computer science since the algorithms in programming heavily rely on the analysis of the discrete elements.
Instead of relying on the traditional mathematical "theorem - proof" format, we show various principles in an intuitive manner with ancient stories, the scenes of movies and even the magic show. Specific topics covered include:
The contents of this course are mainly based on the corresponding Tsinghua Class (Combinatorics) -- a course that has been awarded as the quality curriculum in Tsinghua. It is ideal for students who are interested in mathematics or computer science. It will lead you to gasp the mathematical theory essentially needed to solve the real-world applications.
I don’t speak Chinese, can I take the course?
All the materials are in English. Though the original video was recorded in Chinese, the course team recorded the corresponding dubbing in English and embedded in the video. All the audio and subtitles are processed to fit the English dubbing as much as possible, so that you can enjoy this wonderful course in English.
What are the textbook and the reference books for this course?
There is no textbook requirement for this course. The handouts distributed every week are critical. The following books are references
Richard A. Brualdi; Introductory Combinatorics (5th edition), Pearson, 2009
J.H.van Lint and R.M. Wilson; A course in Combinatorics, Cambridge University Press, 2001
What is the grading breakdown?
70% quizzes and exercises
30% final exam
How can I get the certificate?
If your final score is no less than 60.
Do I need to know how to program to learn this class?
Not necessary. This course is a math course which is based on fundamental theory. But to help the students to have the intuitive feel of the effects of the theory, we also provide a code lib that you can compare different implementations by running different programs.
This is a past/archived course. At this time, you can only explore this course in a self-paced fashion. Certain features of this course may not be active, but many people enjoy watching the videos and working with the materials. Make sure to check for reruns of this course.