Data Science Math Skills
提供方
Data Science Math Skills
Duke University
課程信息
4.5
1,278 ratings
Data science courses contain math—no avoiding that! This course is designed to teach learners the basic math you will need in order to be successful in almost any data science math course and was created for learners who have basic math skills but may not have taken algebra or pre-calculus. Data Science Math Skills introduces the core math that data science is built upon, with no extra complexity, introducing unfamiliar ideas and math symbols one-at-a-time.
Learners who complete this course will master the vocabulary, notation, concepts, and algebra rules that all data scientists must know before moving on to more advanced material.
Topics include:
~Set theory, including Venn diagrams
~Properties of the real number line
~Interval notation and algebra with inequalities
~Uses for summation and Sigma notation
~Math on the Cartesian (x,y) plane, slope and distance formulas
~Graphing and describing functions and their inverses on the x-y plane,
~The concept of instantaneous rate of change and tangent lines to a curve
~Exponents, logarithms, and the natural log function.
~Probability theory, including Bayes’ theorem.
While this course is intended as a general introduction to the math skills needed for data science, it can be considered a prerequisite for learners interested in the course, "Mastering Data Analysis in Excel," which is part of the Excel to MySQL Data Science Specialization. Learners who master Data Science Math Skills will be fully prepared for success with the more advanced math concepts introduced in "Mastering Data Analysis in Excel."
Good luck and we hope you enjoy the course!
您將獲得的技能
ProbabilityBayes' TheoremProbability TheoryBayesian Probability
教學大綱 - 您將從這門課程中學到什麼
1
章節
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 個視頻（共 3 分鐘）, 2 個閱讀材料
2 個閱讀材料
Course Information5分鐘
Weekly feedback surveys10分鐘
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 個視頻（共 93 分鐘）, 4 個閱讀材料, 4 個測驗
10 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
4 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
4 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
章節
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 個視頻（共 72 分鐘）, 3 個閱讀材料, 3 個測驗
8 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
3 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
3 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
章節
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 個視頻（共 66 分鐘）, 3 個閱讀材料, 3 個測驗
7 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
3 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
3 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
章節
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 個視頻（共 66 分鐘）, 4 個閱讀材料, 4 個測驗
8 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
4 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
4 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
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創建者 PS•Jul 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 MG•Mar 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
Daniel Egger
Executive in Residence and Director, Center for Quantitative ModelingPratt School of Engineering, Duke University
Paul Bendich
Assistant research professor of Mathematics; Associate Director for Curricular Engagement at the Information Initiative at DukeMathematics
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.
常見問題
When will I have access to the lectures and assignments?
Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.
What will I get if I purchase the Certificate?
When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
What is the refund policy?
Is financial aid available?
Will I receive a transcript from Duke University for completing this course?
No. Completion of a Coursera course does not earn you academic credit from Duke; therefore, Duke is not able to provide you with a university transcript. However, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.
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