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Basic Math: Derivatives · LearnSpace
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courseraМатематика

Basic Math: Derivatives

Курс от Universitat Politècnica de València
Начальный≈ 17.2 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

This course provides a comprehensive overview of the fundamental principles of differential calculus. It is designed for students in their early university years who require a solid grounding in mathematics. The primary goal is to explore key concepts related to functions and derivatives, along with their practical applications.

Навыки, которые вы освоите

DerivativesCalculusTrigonometryGeometryApplied MathematicsAlgebraAdvanced Mathematics

Программа курса

6 модулей · 91 учебных материалов

01Concept of Function, Types and Properties23 материалов

Concept of Function, Types and Properties

Welcome!ЧтениеMaterials of the course - SlidesЧтениеModule 1 introductionЧтениеIntroduction to FunctionsPLUGIN

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Santiago Moll Lopez

Profesor Titular de Universidad

Basic Math: Derivatives
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≈ 17.2 ч

6 модулей

Язык: Английский

Часть программы вашего университета
Introduction to FunctionsЗадание
Domain and RangeЧтение
Domain and RangePLUGIN
Domain and RangeЗадание
GraphsЧтение
Graphs of FunctionsPLUGIN
Graphs of FunctionsЗадание
Polynomial FunctionsЧтение
Polynomial FunctionsPLUGIN
Polynomial FunctionsЗадание
Graphs of FunctionsЧтение
Graphs of FunctionsPLUGIN
Examples of FunctionsЗадание
ContinuityЧтение
ContinuityPLUGIN
ContinuityЗадание

Fundamental Ideas

Fundamental Ideas Unit 1Чтение

Practice Test

Practice TestЗадание

Unit 1 Exam

Unit 1 ExamЗадание
02Definition of Derivative of a Function and Properties18 материалов

Definition of Derivative of a Function and Properties

Origin of the DerivativeЧтениеIntroduction and OriginsPLUGINIntroduction and OriginsЗаданиеDefinition of DerivativesЧтениеDefinition of DerivativesPLUGINDefinition of DerivativesЗаданиеElementary Derivatives and PropertiesЧтениеElementary Derivatives and PropertiesPLUGINElementary Derivatives and PropertiesЗаданиеDifferentiation RulesЧтениеDifferentiation RulesPLUGINDifferentiation RulesЗаданиеProduct and Quotient ruleЧтениеProduct and Quotient rulePLUGINProduct and Quotient ruleЗадание

Fundamental Ideas

Fundamental Ideas Unit 2Чтение

Practice Test

Practice TestЗадание

Unit 2 Exam

Unit 2 ExamЗадание
03Derivative Calculation: Chain Rule and Derivatives of Implicit Functions15 материалов

Derivative Calculation: Chain Rule and Derivatives of Implicit Functions

The Chain RuleЧтениеChain Rule and Its Application to the Calculation of DerivativesPLUGINChain Rule and Its Application to the Calculation of DerivativesЗаданиеChain Rule Applied to Trigonometric FunctionsЧтениеChain Rule Applied to Trigonometric FunctionsPLUGINChain Rule Applied to Trigonometric FunctionsЗаданиеChain Rule Applied to Exponential and Logarithmic FunctionsЧтениеChain Rule Applied to Exponential and Logarithmic FunctionsPLUGINChain Rule Applied to Exponential and Logarithmic FunctionsЗаданиеChain Rule Applied to Inverse Trigonometric FunctionsЧтениеChain Rule Applied to Inverse Trigonometric FunctionsPLUGINChain Rule Applied to Inverse Trigonometric FunctionsЗадание

Fundamental Ideas

Fundamental Ideas Unit 3Чтение

Practice Test

Practice TestЗадание

Unit 3 exam

Unit 3 ExamЗадание
04Optimization: Maximum and Minimum, Growth and Decrease, Convexity and Concavity.19 материалов

Optimization: Maximum and Minimum, Growth and Decrease, Convexity and Concavity.

Tangent LineЧтениеTangent LinePLUGINTangent LineЧтениеTangent LineЗаданиеSuccessive Derivatives and Taylor PolynomialsЧтениеSuccessive Derivatives and Taylor PolynomialsPLUGINSuccessive Derivatives and Taylor PolynomialsЗаданиеTaylor PolynomialЧтениеSuccessive Derivatives and Taylor Polynomial 2PLUGINTaylor PolynomialЗаданиеTheorems and Derivatives of Implicit FunctionsЧтениеTheorems and Derivatives of Implicit FunctionsPLUGINTheorems and Derivatives of Implicit FunctionsЗаданиеL'Hôpital's RuleЧтениеL'Hôpital's RulePLUGINL'Hôpital's RuleЗадание

Fundamental Ideas

Fundamental Ideas Unit 4Чтение

Practice Test

Practice TestЗадание

Unit 4 Exam

Unit 4 ExamЗадание
05Optimization: Constrained Maxima and Minima13 материалов

Optimization: Constrained Maxima and Minima

Growth and DecreaseЧтениеGrowth and DecreasePLUGINGrowth and DecreaseЗаданиеMaxima and MinimaЧтениеMaxima and MinimaPLUGINMaxima and MinimaЗаданиеCriteria of the First and Second DerivativesЧтениеCriteria of the First and Second DerivativesPLUGINConcavity and criteria of the second derivative.PLUGINConcavity and criteria of the second derivative.Задание

Fundamental Ideas

Fundamental Ideas Unit 5Чтение

Practice Test

Practice TestЗадание

Unit 5 Exam

Unit 5 ExamЗадание
06Final Exam3 материалов

Final Exam

Final ExamЧтениеFinal ExamЗаданиеEnd of the courseЧтение