課程信息
4.5
1,445 個評分
334 個審閱
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初級

初級

完成時間(小時)

完成時間大約為15 小時

建議:Four weeks, 3-5 hours per week....
可選語言

英語(English)

字幕:英語(English)

您將獲得的技能

Bayes' TheoremBayesian ProbabilityProbabilityProbability Theory
100% 在線

100% 在線

立即開始,按照自己的計劃學習。
可靈活調整截止日期

可靈活調整截止日期

根據您的日程表重置截止日期。
初級

初級

完成時間(小時)

完成時間大約為15 小時

建議:Four weeks, 3-5 hours per week....
可選語言

英語(English)

字幕:英語(English)

教學大綱 - 您將從這門課程中學到什麼

1
完成時間(小時)
完成時間為 18 分鐘

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 個視頻 (總計 3 分鐘), 2 個閱讀材料
Reading2 個閱讀材料
Course Information5分鐘
Weekly feedback surveys10分鐘
完成時間(小時)
完成時間為 4 小時

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 個視頻 (總計 93 分鐘), 4 個閱讀材料, 4 個測驗
Video10 個視頻
Sets - Medical Testing Example11分鐘
Sets - Venn Diagrams7分鐘
Numbers - The Real Number Line9分鐘
Numbers - Less-than and Greater-than6分鐘
Numbers - Algebra With Inequalities10分鐘
Numbers - Intervals and Interval Notation7分鐘
Sigma Notation - Introduction to Summation9分鐘
Sigma Notation - Simplification Rules7分鐘
Sigma Notation - Mean and Variance12分鐘
Reading4 個閱讀材料
A note about the video lectures in this lesson3分鐘
A note about the video lectures in this lesson10分鐘
A note about the video lectures in this lesson10分鐘
Feedback10分鐘
Quiz4 個練習
Practice quiz on Sets15分鐘
Practice quiz on the Number Line, including Inequalities25分鐘
Practice quiz on Simplification Rules and Sigma Notation20分鐘
Graded quiz on Sets, Number Line, Inequalities, Simplification, and Sigma Notation35分鐘
2
完成時間(小時)
完成時間為 3 小時

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 個視頻 (總計 72 分鐘), 3 個閱讀材料, 3 個測驗
Video8 個視頻
Cartesian Plane - Distance Formula10分鐘
Cartesian Plane - Point-Slope Formula for Lines8分鐘
Cartesian Plane: Slope-Intercept Formula for Lines7分鐘
Functions - Mapping from Sets to Sets7分鐘
Functions - Graphing in the Cartesian Plane11分鐘
Functions - Increasing and Decreasing Functions10分鐘
Functions - Composition and Inverse10分鐘
Reading3 個閱讀材料
A note about the video lectures in this lesson3分鐘
A note about the video lectures in this lesson3分鐘
Feedback10分鐘
Quiz3 個練習
Practice quiz on the Cartesian Plane15分鐘
Practice quiz on Types of Functions20分鐘
Graded quiz on Cartesian Plane and Types of Function40分鐘
3
完成時間(小時)
完成時間為 3 小時

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 個視頻 (總計 66 分鐘), 3 個閱讀材料, 3 個測驗
Video7 個視頻
Tangent Lines - The Derivative Function9分鐘
Using Integer Exponents7分鐘
Simplification Rules for Algebra using Exponents11分鐘
How Logarithms and Exponents are Related12分鐘
The Change of Base Formula4分鐘
The Rate of Growth of Continuous Processes11分鐘
Reading3 個閱讀材料
A note about the video lectures in this lesson10分鐘
A note about the video lectures in this lesson3分鐘
Feedback10分鐘
Quiz3 個練習
Practice quiz onTangent Lines to Functions10分鐘
Practice quiz on Exponents and Logarithms40分鐘
Graded quiz on Tangent Lines to Functions, Exponents and Logarithms45分鐘
4
完成時間(小時)
完成時間為 3 小時

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 個視頻 (總計 66 分鐘), 4 個閱讀材料, 4 個測驗
Video8 個視頻
Joint Probabilities6分鐘
Permutations and Combinations12分鐘
Using Factorial and “M choose N”6分鐘
The Sum Rule, Conditional Probability, and the Product Rule8分鐘
Bayes’ Theorem (Part 1)10分鐘
Bayes’ Theorem (Part 2)5分鐘
The Binomial Theorem and Bayes Theorem8分鐘
Reading4 個閱讀材料
A note about the video lectures in this lesson3分鐘
A note about the video lectures in this lesson3分鐘
A note about the video lectures in this lesson3分鐘
Feedback10分鐘
Quiz4 個練習
Practice quiz on Probability Concepts25分鐘
Practice quiz on Problem Solving25分鐘
Practice quiz on Bayes Theorem and the Binomial Theorem25分鐘
Probability (basic and Intermediate) Graded Quiz50分鐘
4.5
334 個審閱Chevron Right
職業方向

38%

完成這些課程後已開始新的職業生涯
工作福利

32%

通過此課程獲得實實在在的工作福利

熱門審閱

創建者 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.

創建者 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.

講師

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Daniel Egger

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

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

關於 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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