Об этом курсе
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Рецензии: 408

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Английский

Субтитры: Английский

Приобретаемые навыки

Bayes' TheoremBayesian ProbabilityProbabilityProbability Theory

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Гибкие сроки

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Начальный уровень

Прибл. 15 часа на выполнение

Предполагаемая нагрузка: Four weeks, 3-5 hours per week....

Английский

Субтитры: Английский

Программа курса: что вы изучите

Неделя
1
18 минуты на завершение

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 видео ((всего 3 мин.)), 2 материалов для самостоятельного изучения
1 видео
2 материала для самостоятельного изучения
Course Information5мин
Weekly feedback surveys10мин
4 ч. на завершение

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 видео ((всего 93 мин.)), 4 материалов для самостоятельного изучения, 4 тестов
10 видео
Sets - Medical Testing Example11мин
Sets - Venn Diagrams7мин
Numbers - The Real Number Line9мин
Numbers - Less-than and Greater-than6мин
Numbers - Algebra With Inequalities10мин
Numbers - Intervals and Interval Notation7мин
Sigma Notation - Introduction to Summation9мин
Sigma Notation - Simplification Rules7мин
Sigma Notation - Mean and Variance12мин
4 материала для самостоятельного изучения
A note about the video lectures in this lesson3мин
A note about the video lectures in this lesson10мин
A note about the video lectures in this lesson10мин
Feedback10мин
4 практического упражнения
Practice quiz on Sets15мин
Practice quiz on the Number Line, including Inequalities25мин
Practice quiz on Simplification Rules and Sigma Notation20мин
Graded quiz on Sets, Number Line, Inequalities, Simplification, and Sigma Notation35мин
Неделя
2
3 ч. на завершение

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 видео ((всего 72 мин.)), 3 материалов для самостоятельного изучения, 3 тестов
8 видео
Cartesian Plane - Distance Formula10мин
Cartesian Plane - Point-Slope Formula for Lines8мин
Cartesian Plane: Slope-Intercept Formula for Lines7мин
Functions - Mapping from Sets to Sets7мин
Functions - Graphing in the Cartesian Plane11мин
Functions - Increasing and Decreasing Functions10мин
Functions - Composition and Inverse10мин
3 материала для самостоятельного изучения
A note about the video lectures in this lesson3мин
A note about the video lectures in this lesson3мин
Feedback10мин
3 практического упражнения
Practice quiz on the Cartesian Plane15мин
Practice quiz on Types of Functions20мин
Graded quiz on Cartesian Plane and Types of Function40мин
Неделя
3
3 ч. на завершение

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 видео ((всего 66 мин.)), 3 материалов для самостоятельного изучения, 3 тестов
7 видео
Tangent Lines - The Derivative Function9мин
Using Integer Exponents7мин
Simplification Rules for Algebra using Exponents11мин
How Logarithms and Exponents are Related12мин
The Change of Base Formula4мин
The Rate of Growth of Continuous Processes11мин
3 материала для самостоятельного изучения
A note about the video lectures in this lesson10мин
A note about the video lectures in this lesson3мин
Feedback10мин
3 практического упражнения
Practice quiz onTangent Lines to Functions10мин
Practice quiz on Exponents and Logarithms40мин
Graded quiz on Tangent Lines to Functions, Exponents and Logarithms45мин
Неделя
4
3 ч. на завершение

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 видео ((всего 66 мин.)), 4 материалов для самостоятельного изучения, 4 тестов
8 видео
Joint Probabilities6мин
Permutations and Combinations12мин
Using Factorial and “M choose N”6мин
The Sum Rule, Conditional Probability, and the Product Rule8мин
Bayes’ Theorem (Part 1)10мин
Bayes’ Theorem (Part 2)5мин
The Binomial Theorem and Bayes Theorem8мин
4 материала для самостоятельного изучения
A note about the video lectures in this lesson3мин
A note about the video lectures in this lesson3мин
A note about the video lectures in this lesson3мин
Feedback10мин
4 практического упражнения
Practice quiz on Probability Concepts25мин
Practice quiz on Problem Solving25мин
Practice quiz on Bayes Theorem and the Binomial Theorem25мин
Probability (basic and Intermediate) Graded Quiz50мин
4.5
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37%

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Лучшие рецензии

автор: 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)

автор: 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.

Преподаватели

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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

О Университет Дьюка

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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