Acerca de este Curso
4.8
362 calificaciones
68 revisiones
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Comienza de inmediato y aprende a tu propio ritmo.
Fechas límite flexibles

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.
Hours to complete

Aprox. 13 horas para completar

Sugerido: 6-8 hours/week...
Available languages

Inglés (English)

Subtítulos: Inglés (English), Chino (simplificado)...

Habilidades que obtendrás

Differential (Mathematics)Newton'S MethodLinear ApproximationDifferential CalculusDerivative
100% online

100% online

Comienza de inmediato y aprende a tu propio ritmo.
Fechas límite flexibles

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.
Hours to complete

Aprox. 13 horas para completar

Sugerido: 6-8 hours/week...
Available languages

Inglés (English)

Subtítulos: Inglés (English), Chino (simplificado)...

Programa - Qué aprenderás en este curso

Semana
1
Hours to complete
2 horas para completar

A New Look at Differentiation

Think derivatives mean "slopes"? Not anymore... In this module, we will reconsider what a derivative is and means in terms of the asymptotic (or big-O) notation from the previous chapter. This will give us a new language for describing and understanding rates of change and the rules that govern them. ...
Reading
3 videos (Total: 45 min), 2 readings, 4 quizzes
Video3 videos
Differentiation Rules16m
BONUS!11m
Reading2 lecturas
How Grading Works10m
Your Guide to Getting Started in this Course10m
Quiz4 ejercicios de práctica
Core Homework: Derivatives16m
Challenge Homework: Derivatives4m
Core Homework: Differentiation Rules18m
Challenge Homework: Differentiation Rules6m
Semana
2
Hours to complete
2 horas para completar

Putting Derivatives to Work

Why exactly are derivatives so central to calculus? In part, it is because they are so ubiquitously useful! In this module, we will recall a few core applications of derivatives. In so doing, we'll see exactly how having an understanding of the asymptotics assists in building applications of the derivative....
Reading
5 videos (Total: 66 min), 6 quizzes
Video5 videos
Higher Derivatives14m
BONUS!9m
Optimization16m
BONUS!8m
Quiz6 ejercicios de práctica
Core Homework: Linearization12m
Challenge Homework: Linearization4m
Core Homework: Higher Derivatives12m
Challenge Homework: Higher Derivatives2m
Core Homework: Optimization10m
Challenge Homework: Optimization8m
Semana
3
Hours to complete
2 horas para completar

Differentials and Operators

There is much more to derivatives than simply their computation and applications. So much of how they arise is calculus is in the mysterious guise of *differentials*. These arise from implicit differentiation, which in turn reveals a deeper level of understanding of what differentiation means....
Reading
3 videos (Total: 38 min), 1 reading, 5 quizzes
Video3 videos
Differentiation Operator13m
BONUS!6m
Reading1 lectura
About the Chapter 2 Exam10m
Quiz5 ejercicios de práctica
Core Homework: Differentials12m
Challenge Homework: Differentials8m
Core Homework: Differentiation Operator12m
Challenge Homework: Differentiation Operator10m
Chapter 2: Differentiation - Exam20m

Instructor

Avatar

Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering

Acerca de University of Pennsylvania

The University of Pennsylvania (commonly referred to as Penn) is a private university, located in Philadelphia, Pennsylvania, United States. A member of the Ivy League, Penn is the fourth-oldest institution of higher education in the United States, and considers itself to be the first university in the United States with both undergraduate and graduate studies. ...

Preguntas Frecuentes

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