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Single Variable Calculus · LearnSpace
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Single Variable Calculus

Курс от University of Pennsylvania
Уровень не указан≈ 10.4 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach. In this fifth part--part five of five--we cover a calculus for sequences, numerical methods, series and convergence tests, power and Taylor series, and conclude the course with a final exam. Learners in this course can earn a certificate in the series by signing up for Coursera's verified certificate program and passing the series' final exam.

Навыки, которые вы освоите

CalculusDifferential EquationsIntegral CalculusAdvanced MathematicsDerivativesNumerical AnalysisApplied MathematicsEstimationMathematical Theory & Analysis

Программа курса

5 модулей · 41 учебных материалов

01A Calculus for Sequences11 материалов

About the Course

Your Guide to Getting Started in this CourseЧтениеHow Grading WorksЧтение

Sequences

SequencesВидеоBONUS!Видео

Учитесь у экспертов

Robert Ghrist

Professor

Single Variable Calculus
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Обучение откроется на Coursera
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Обучение на Coursera

≈ 10.4 ч

5 модулей

Язык: Английский

Субтитры: Французский, Узбекский, Пушту, Русский, Испанский, Дари

Часть программы вашего университета
Core Homework: SequencesЗадание

Differences

DifferencesВидеоCore Homework: DifferencesЗаданиеChallenge Homework: DifferencesЗадание

Discrete Calculus

Discrete CalculusВидеоCore Homework: Discrete CalculusЗаданиеChallenge Homework: Discrete CalculusЗадание
02Introduction to Numerical Methods3 материалов

Numerical O.D.E.s

Numerical O.D.E.sВидеоCore Homework: Numerical O.D.E.sЗадание

Numerical Integration

Numerical IntegrationВидео
03Series and Convergence Tests10 материалов

Infinite Series

Infinite SeriesВидеоCore Homework: Infinite SeriesЗаданиеChallenge Homework: Infinite SeriesЗадание

Convergence Tests I

Convergence Tests IВидеоCore Homework: Convergence Tests IЗаданиеChallenge Homework: Convergence Tests IЗадание

Convergence Tests II

Convergence Tests IIВидеоCore Homework: Convergence Tests IIЗадание

Absolute & Conditional

Absolute & ConditionalВидеоCore Homework: Absolute & ConditionalЗадание
04Power and Taylor Series9 материалов

Power Series

Power SeriesВидеоCore Homework: Power SeriesЗаданиеChallenge Homework: Power SeriesЗадание

Taylor Series Redux

Taylor Series ReduxВидеоCore Homework: Taylor Series ReduxЗаданиеChallenge Homework: Taylor Series ReduxЗадание

Approximation and Error

Approximation and ErrorВидеоBONUS!ВидеоCore Homework: Approximation and ErrorЗадание
05Concluding Single Variable Calculus8 материалов

Calculus Redux

Calculus ReduxВидеоBONUS!Видео

Foreshadowing

ForeshadowingВидео

Credits

CreditsВидео

Chapter 5 Review & Exam

About the Chapter 5 ExamЧтениеChapter 5: Discretization - ExamЗадание

THE 5-CHAPTER GREAT BIG FINAL EXAM

About the 5-CHAPTER GREAT BIG FINAL EXAM!Чтение5-CHAPTER GREAT BIG FINAL EXAM!Задание