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Algebra and Differential Calculus for Data Science · LearnSpace
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Algebra and Differential Calculus for Data Science

Курс от University of Colorado Boulder
Средний≈ 8 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Are you interested in Data Science but lack the math background for it? Has math always been a tough subject that you tend to avoid? This course will teach you the most fundamental Calculus concepts that you will need for a career in Data Science without a ton of unnecessary proofs and techniques that you may never use. Consider this an expressway to Data Science with approachable methods and friendly concepts that will guide you to truly understanding the most important ideas in Differential Calculus. We will review some algebra basics, talk about what a derivative is, compute some simple derivatives and apply the basics of derivatives to graphing and maximizing functions. This course is designed to prepare learners to successfully complete Statistical Modeling for Data Science Application, which is part of CU Boulder's Master of Science in Data Science (MS-DS) program. Logo courtesy of ThisisEngineering RAEng on Unsplash.com

Навыки, которые вы освоите

DerivativesAlgebraCalculusGraphingApplied MathematicsData ScienceGeneral MathematicsNumerical AnalysisMathematical Theory & Analysis

Программа курса

6 модулей · 55 учебных материалов

01Functions and Algebra Review19 материалов

Function Intro

Course Updates and Accessibility SupportЧтениеWhat is a Function? (Algebraically and Graphically)ВидеоFunctions QuizЗадание

Domain and Range

Domain and Range

Учитесь у экспертов

Jane Wall

Faculty Director of Data Science Programs

Algebra and Differential Calculus for Data Science
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Обучение на Coursera

≈ 8 ч

6 модулей

Язык: Английский

Субтитры: Арабский, Французский, Узбекский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Нидерландский, Корейский, Немецкий, Русский, Тайский, Индонезийский, Шведский, Турецкий, Испанский, Хинди, Японский, Казахский, Польский

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Видео
Domain and Range QuizЗадание

Piecewise Functions

Piecewise FunctionsВидеоPiecewise Functions QuizЗадание

What Can You Do to a Function?

What Can You Do to a Function?ВидеоPerforming function operationsЗадание

Multiplying Binomials

Multiplying BinomialsВидеоMultiplying Binomials QuizЗадание

Rationalizing Denominators

Rationalizing DenominatorsВидеоRationalizing Denominators QuizЗадание

Exponent Rules

Exponent RulesВидеоExponent Rules QuizЗадание

Logarithms

LogarithmsВидеоLogarithms QuizЗаданиеApplications of LogarithmsВидеоApplications of LogarithmsЗадание
02Induction Proofs, Limits and Continuity8 материалов

Induction Proofs

Proof by InductionВидеоProof by Induction QuizЗадание

Limits and Continuity

Limits at InfinityВидеоLimits at Infinity QuizЗаданиеLimits at a Specific PointВидеоLimits at a Specific Point QuizЗаданиеContinuity of a FunctionВидеоContinuity of a Function QuizЗадание
03Definition of a Derivative8 материалов

Derivative Definition and Formula

Intro to DerivativesВидеоDerivative Concept CheckЗадание

Simple Polynomial Function

Derivative of a Simple FunctionВидеоSimple Polynomial Function QuizЗадание

Simple Exponential Function

Derivative of an Exponential FunctionВидеоDerivative of an Exponential Function QuizЗадание

Derivative of a Constant

Derivative of a ConstantВидеоDerivative of a Constant QuizЗадание
04Product and Chain Rule7 материалов

Product Rule

Product Rule Part 1ВидеоProduct Rule Part 2ВидеоProduct Rule QuizЗадание

Quotient Rule

Quotient RuleВидеоQuotient Rule QuizЗадание

Chain Rule

Chain RuleВидеоChain Rule QuizЗадание
05Using Derivatives to Graph Functions8 материалов

Using the Derivative to Graph Functions

Using the Derivative to Graph FunctionsВидеоUsing the Derivative to Graph Functions QuizЗадание

Finding Concavity with the Second Derivative

Finding Concavity with the Second DerivativeВидеоFinding Concavity with the Second Derivative QuizЗадание

Comparing the Graphs of f(x) and f’(x)

Comparing the Graphs of f(x) and f’(x)ВидеоComparing the Graphs of f(x) and f'(x) QuizЗадание

Graphing Functions - A More Complicated Example

Graphing Functions - A More Complicated ExampleВидеоGraphing Functions - A More Complicated Example QuizЗадание
06Finding Maximums and Minimums5 материалов

Maxima and Minima of Functions

Maxima and Minima of Functions ВидеоApplications of Maxima and Minima ВидеоGraphing Using Maxima and Minima ВидеоRate of ChangeВидеоFinding Maximums and Minimums QuizЗадание