课程信息
4.5
1,440 个评分
333 个审阅
100% 在线

100% 在线

立即开始,按照自己的计划学习。
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根据您的日程表重置截止日期。
初级

初级

完成时间(小时)

完成时间大约为15 小时

建议:Four weeks, 3-5 hours per week....
可选语言

英语(English)

字幕:英语(English)

您将获得的技能

Bayes' TheoremBayesian ProbabilityProbabilityProbability Theory
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。
初级

初级

完成时间(小时)

完成时间大约为15 小时

建议:Four weeks, 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 18 分钟

Welcome to Data Science Math Skills

This short module includes an overview of the course's structure, working process, and information about course certificates, quizzes, video lectures, and other important course details. Make sure to read it right away and refer back to it whenever needed...
Reading
1 个视频 (总计 3 分钟), 2 个阅读材料
Reading2 个阅读材料
Course Information5分钟
Weekly feedback surveys10分钟
完成时间(小时)
完成时间为 4 小时

Building Blocks for Problem Solving

This module contains three lessons that are build to basic math vocabulary. The first lesson, "Sets and What They’re Good For," walks you through the basic notions of set theory, including unions, intersections, and cardinality. It also gives a real-world application to medical testing. The second lesson, "The Infinite World of Real Numbers," explains notation we use to discuss intervals on the real number line. The module concludes with the third lesson, "That Jagged S Symbol," where you will learn how to compactly express a long series of additions and use this skill to define statistical quantities like mean and variance....
Reading
10 个视频 (总计 93 分钟), 4 个阅读材料, 4 个测验
Video10 个视频
Sets - Medical Testing Example11分钟
Sets - Venn Diagrams7分钟
Numbers - The Real Number Line9分钟
Numbers - Less-than and Greater-than6分钟
Numbers - Algebra With Inequalities10分钟
Numbers - Intervals and Interval Notation7分钟
Sigma Notation - Introduction to Summation9分钟
Sigma Notation - Simplification Rules7分钟
Sigma Notation - Mean and Variance12分钟
Reading4 个阅读材料
A note about the video lectures in this lesson3分钟
A note about the video lectures in this lesson10分钟
A note about the video lectures in this lesson10分钟
Feedback10分钟
Quiz4 个练习
Practice quiz on Sets15分钟
Practice quiz on the Number Line, including Inequalities25分钟
Practice quiz on Simplification Rules and Sigma Notation20分钟
Graded quiz on Sets, Number Line, Inequalities, Simplification, and Sigma Notation35分钟
2
完成时间(小时)
完成时间为 3 小时

Functions and Graphs

This module builds vocabulary for graphing functions in the plane. In the first lesson, "Descartes Was Really Smart," you will get to know the Cartesian Plane, measure distance in it, and find the equations of lines. The second lesson introduces the idea of a function as an input-output machine, shows you how to graph functions in the Cartesian Plane, and goes over important vocabulary....
Reading
8 个视频 (总计 72 分钟), 3 个阅读材料, 3 个测验
Video8 个视频
Cartesian Plane - Distance Formula10分钟
Cartesian Plane - Point-Slope Formula for Lines8分钟
Cartesian Plane: Slope-Intercept Formula for Lines7分钟
Functions - Mapping from Sets to Sets7分钟
Functions - Graphing in the Cartesian Plane11分钟
Functions - Increasing and Decreasing Functions10分钟
Functions - Composition and Inverse10分钟
Reading3 个阅读材料
A note about the video lectures in this lesson3分钟
A note about the video lectures in this lesson3分钟
Feedback10分钟
Quiz3 个练习
Practice quiz on the Cartesian Plane15分钟
Practice quiz on Types of Functions20分钟
Graded quiz on Cartesian Plane and Types of Function40分钟
3
完成时间(小时)
完成时间为 3 小时

Measuring Rates of Change

This module begins a very gentle introduction to the calculus concept of the derivative. The first lesson, "This is About the Derivative Stuff," will give basic definitions, work a few examples, and show you how to apply these concepts to the real-world problem of optimization. We then turn to exponents and logarithms, and explain the rules and notation for these math tools. Finally we learn about the rate of change of continuous growth, and the special constant known as “e” that captures this concept in a single number—near 2.718....
Reading
7 个视频 (总计 66 分钟), 3 个阅读材料, 3 个测验
Video7 个视频
Tangent Lines - The Derivative Function9分钟
Using Integer Exponents7分钟
Simplification Rules for Algebra using Exponents11分钟
How Logarithms and Exponents are Related12分钟
The Change of Base Formula4分钟
The Rate of Growth of Continuous Processes11分钟
Reading3 个阅读材料
A note about the video lectures in this lesson10分钟
A note about the video lectures in this lesson3分钟
Feedback10分钟
Quiz3 个练习
Practice quiz onTangent Lines to Functions10分钟
Practice quiz on Exponents and Logarithms40分钟
Graded quiz on Tangent Lines to Functions, Exponents and Logarithms45分钟
4
完成时间(小时)
完成时间为 3 小时

Introduction to Probability Theory

This module introduces the vocabulary and notation of probability theory – mathematics for the study of outcomes that are uncertain but have predictable rates of occurrence. We start with the basic definitions and rules of probability, including the probability of two or more events both occurring, the sum rule and the product rule, and then proceed to Bayes’ Theorem and how it is used in practical problems....
Reading
8 个视频 (总计 66 分钟), 4 个阅读材料, 4 个测验
Video8 个视频
Joint Probabilities6分钟
Permutations and Combinations12分钟
Using Factorial and “M choose N”6分钟
The Sum Rule, Conditional Probability, and the Product Rule8分钟
Bayes’ Theorem (Part 1)10分钟
Bayes’ Theorem (Part 2)5分钟
The Binomial Theorem and Bayes Theorem8分钟
Reading4 个阅读材料
A note about the video lectures in this lesson3分钟
A note about the video lectures in this lesson3分钟
A note about the video lectures in this lesson3分钟
Feedback10分钟
Quiz4 个练习
Practice quiz on Probability Concepts25分钟
Practice quiz on Problem Solving25分钟
Practice quiz on Bayes Theorem and the Binomial Theorem25分钟
Probability (basic and Intermediate) Graded Quiz50分钟
4.5
333 个审阅Chevron Right
职业方向

38%

完成这些课程后已开始新的职业生涯
工作福利

83%

通过此课程获得实实在在的工作福利

热门审阅

创建者 PSJul 23rd 2017

This is neat little course to revise math fundamentals. I generally find learning probability a little tricky. This course helped me a lot in better understanding Bayes Theorem. Thank you professors.

创建者 MGMar 28th 2018

Please include integration, algorithm analysis (big O, theta, omega), recursion and induction. Your course is helpful, thank you. If you add those things I've mentioned it would be absolute gold.

讲师

Avatar

Daniel Egger

Executive in Residence and Director, Center for Quantitative Modeling
Pratt School of Engineering, Duke University
Avatar

Paul Bendich

Assistant research professor of Mathematics; Associate Director for Curricular Engagement at the Information Initiative at Duke
Mathematics

关于 Duke University

Duke University has about 13,000 undergraduate and graduate students and a world-class faculty helping to expand the frontiers of knowledge. The university has a strong commitment to applying knowledge in service to society, both near its North Carolina campus and around the world....

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