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英語

字幕:英語

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Bayes' TheoremBayesian ProbabilityProbabilityProbability Theory

100%オンライン

自分のスケジュールですぐに学習を始めてください。

柔軟性のある期限

スケジュールに従って期限をリセットします。

初級レベル

約15時間で修了

推奨:Four weeks, 3-5 hours per week....

英語

字幕:英語

シラバス - 本コースの学習内容

1
18分で修了

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

...
1件のビデオ (合計3分), 2 readings
1件のビデオ
2件の学習用教材
Course Information5 分
Weekly feedback surveys10 分
4時間で修了

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.

...
10件のビデオ (合計93分), 4 readings, 4 quizzes
10件のビデオ
Sets - Medical Testing Example11 分
Sets - Venn Diagrams7 分
Numbers - The Real Number Line9 分
Numbers - Less-than and Greater-than6 分
Numbers - Algebra With Inequalities10 分
Numbers - Intervals and Interval Notation7 分
Sigma Notation - Introduction to Summation9 分
Sigma Notation - Simplification Rules7 分
Sigma Notation - Mean and Variance12 分
4件の学習用教材
A note about the video lectures in this lesson3 分
A note about the video lectures in this lesson10 分
A note about the video lectures in this lesson10 分
Feedback10 分
4の練習問題
Practice quiz on Sets15 分
Practice quiz on the Number Line, including Inequalities25 分
Practice quiz on Simplification Rules and Sigma Notation20 分
Graded quiz on Sets, Number Line, Inequalities, Simplification, and Sigma Notation35 分
2
3時間で修了

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.

...
8件のビデオ (合計72分), 3 readings, 3 quizzes
8件のビデオ
Cartesian Plane - Distance Formula10 分
Cartesian Plane - Point-Slope Formula for Lines8 分
Cartesian Plane: Slope-Intercept Formula for Lines7 分
Functions - Mapping from Sets to Sets7 分
Functions - Graphing in the Cartesian Plane11 分
Functions - Increasing and Decreasing Functions10 分
Functions - Composition and Inverse10 分
3件の学習用教材
A note about the video lectures in this lesson3 分
A note about the video lectures in this lesson3 分
Feedback10 分
3の練習問題
Practice quiz on the Cartesian Plane15 分
Practice quiz on Types of Functions20 分
Graded quiz on Cartesian Plane and Types of Function40 分
3
3時間で修了

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.

...
7件のビデオ (合計66分), 3 readings, 3 quizzes
7件のビデオ
Tangent Lines - The Derivative Function9 分
Using Integer Exponents7 分
Simplification Rules for Algebra using Exponents11 分
How Logarithms and Exponents are Related12 分
The Change of Base Formula4 分
The Rate of Growth of Continuous Processes11 分
3件の学習用教材
A note about the video lectures in this lesson10 分
A note about the video lectures in this lesson3 分
Feedback10 分
3の練習問題
Practice quiz onTangent Lines to Functions10 分
Practice quiz on Exponents and Logarithms40 分
Graded quiz on Tangent Lines to Functions, Exponents and Logarithms45 分
4
3時間で修了

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.

...
8件のビデオ (合計66分), 4 readings, 4 quizzes
8件のビデオ
Joint Probabilities6 分
Permutations and Combinations12 分
Using Factorial and “M choose N”6 分
The Sum Rule, Conditional Probability, and the Product Rule8 分
Bayes’ Theorem (Part 1)10 分
Bayes’ Theorem (Part 2)5 分
The Binomial Theorem and Bayes Theorem8 分
4件の学習用教材
A note about the video lectures in this lesson3 分
A note about the video lectures in this lesson3 分
A note about the video lectures in this lesson3 分
Feedback10 分
4の練習問題
Practice quiz on Probability Concepts25 分
Practice quiz on Problem Solving25 分
Practice quiz on Bayes Theorem and the Binomial Theorem25 分
Probability (basic and Intermediate) Graded Quiz50 分
4.5
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人気のレビュー

by ASJan 12th 2019

Effective way to refresh and add the Data Science math skills! Thanks a lot! At the time of the study some of the quizzes content were not rendering correctly on mobile devices (both iPad and Android)

by 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.

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

デューク大学(Duke University)について

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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