Discrete Math and Analyzing Social Graphs

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课程主页: https://www.coursera.org/archive/discrete-math-and-analyzing-social-graphs

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课程大纲

Basic Combinatorics
Advanced Combinatorics
Discrete Probability
Introduction to Graphs
Basic Graph Parameters
Graphs of Social Networks

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课程详情

The main goal of this course is to introduce topics in Discrete Mathematics relevant to Data Analysis. We will start with a brief introduction to combinatorics, the branch of mathematics that studies how to count. Basics of this topic are critical for anyone working in Data Analysis or Computer Science. We will illustrate new knowledge, for example, by counting the number of features in data or by estimating the time required for a Python program to run. Next, we will apply our knowledge in combinatorics to study basic Probability Theory. Probability is everywhere in Data Analysis and we will study it in much more details later. Our goals for probability section in this course will be to give initial flavor of this field. Finally, we will study the combinatorial structure that is the most relevant for Data Analysis, namely graphs. Graphs can be found everywhere around us and we will provide you with numerous examples. We will mainly concentrate in this course on the graphs of social networks. We will provide you with relevant notions from the graph theory, illustrate them on the graphs of social networks and will study their basic properties. In the end of the course we will have a project related to social network graphs. As prerequisites we assume only basic math (e.g., we expect you to know what is a square or how to add fractions), basic programming in Python (functions, loops, recursion), common sense and curiosity. Our intended audience are all people that work or plan to work in Data Analysis, starting from motivated high school students.

离散数学和社会图分析:本课程的主要目的是介绍与数据分析相关的离散数学主题。 我们将首先介绍组合数学,这是研究如何计数的数学分支。该主题的基础知识对从事数据分析或计算机科学的任何人都至关重要。我们将举例说明新知识,例如,通过计算数据中的功能数量或估算Python程序运行所需的时间。 接下来,我们将运用我们在组合语言学领域的知识来研究基本的概率论。概率在数据分析中无处不在,稍后我们将对其进行详细研究。我们在本课程中的“概率”部分的目标是给出该领域的初步含义。 最后,我们将研究与数据分析最相关的组合结构,即图。在我们周围到处都可以找到图,我们将为您提供许多示例。在本课程中,我们将主要关注社交网络图。我们将为您提供图论方面的相关概念,在社交网络图上对其进行说明,并研究其基本属性。在课程的最后,我们将有一个与社交网络图有关的项目。 作为前提条件,我们仅假设基本数学(例如,我们希望您知道什么是平方或如何添加分数),Python中的基本编程(函数,循环,递归),常识和好奇心。我们的目标受众是所有愿意或计划从事数据分析的人员,从积极进取的高中生开始。

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