课程信息
3.6
76 个评分
26 个审阅
100% 在线

100% 在线

立即开始,按照自己的计划学习。
可灵活调整截止日期

可灵活调整截止日期

根据您的日程表重置截止日期。
中级

中级

完成时间(小时)

完成时间大约为41 小时

建议:11 weeks of study, 3-5 hours per week....
可选语言

英语(English)

字幕:英语(English)
100% 在线

100% 在线

立即开始,按照自己的计划学习。
可灵活调整截止日期

可灵活调整截止日期

根据您的日程表重置截止日期。
中级

中级

完成时间(小时)

完成时间大约为41 小时

建议:11 weeks of study, 3-5 hours per week....
可选语言

英语(English)

字幕:英语(English)

教学大纲 - 您将从这门课程中学到什么

1
完成时间(小时)
完成时间为 5 小时

Introduction - Basic Objects in Discrete Mathematics

This module gives the learner a first impression of what discrete mathematics is about, and in which ways its "flavor" differs from other fields of mathematics. It introduces basic objects like sets, relations, functions, which form the foundation of discrete mathematics....
Reading
2 个视频 (总计 27 分钟), 3 个测验
Video2 个视频
Sets, Relations, Functions10分钟
Quiz1 个练习
Sets, relations, and functions30分钟
2
完成时间(小时)
完成时间为 4 小时

Partial Orders

Even without knowing, the learner has seen some orderings in the past. Numbers are ordered by <=. Integers can be partially ordered by the "divisible by" relation. In genealogy, people are ordered by the "A is an ancestor of B" relation. This module formally introduces partial orders and proves some fundamental and non-trivial facts about them....
Reading
2 个视频 (总计 28 分钟), 2 个测验
Video2 个视频
Mirsky's and Dilworth's Theorem14分钟
Quiz1 个练习
Partial orders, maximal and minimal elements, chains, antichainss
3
完成时间(小时)
完成时间为 5 小时

Enumerative Combinatorics

A big part of discrete mathematics is about counting things. A classic example asks how many different words can be obtained by re-ordering the letters in the word Mississippi. Counting problems of this flavor abound in discrete mathematics discrete probability and also in the analysis of algorithms....
Reading
3 个视频 (总计 35 分钟), 2 个测验
Video3 个视频
Evaluating Simple Sums8分钟
Pascal's Triangle14分钟
Quiz1 个练习
Counting Basic Objectss
4
完成时间(小时)
完成时间为 4 小时

The Binomial Coefficient

The binomial coefficient (n choose k) counts the number of ways to select k elements from a set of size n. It appears all the time in enumerative combinatorics. A good understanding of (n choose k) is also extremely helpful for analysis of algorithms....
Reading
3 个视频 (总计 55 分钟), 3 个测验
Video3 个视频
Estimating the Binomial Coefficient22分钟
Excursion to Discrete Probability: Computing the Expected Minimum of k Random Elements from {1,...,n}18分钟
Quiz1 个练习
An Eagle's View of Pascal's Triangle8分钟
3.6
26 个审阅Chevron Right

热门审阅

创建者 NPOct 23rd 2017

Fantastic course. Fascinating material, presented at a reasonably fast pace, and some really challenging assignments.

创建者 AGDec 5th 2018

This course is good to comprehend relation, function and combinations.

讲师

Avatar

Dominik Scheder

Assistant Professor
The Department of Computer Science and Engineering

关于 Shanghai Jiao Tong University

Shanghai Jiao Tong University, a leading research university located in Shanghai, China, has been regarded as the fastest developing university in the country for the last decade. With special strengths in engineering, science, medicine and business, it now offers a comprehensive range of disciplines in 27 schools with more than 41,000 enrolled students from more than one hundred countries....

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