Acerca de este Curso
4.8
193 calificaciones
30 revisiones
100 % en línea

100 % en línea

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

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.
Horas para completar

Aprox. 21 horas para completar

Sugerido: 6-8 hours/week...
Idiomas disponibles

Inglés (English)

Subtítulos: Inglés (English), Español (Spanish)...

Habilidades que obtendrás

Differential EquationsIntegration By PartsImproper IntegralIntegration By Substitution
100 % en línea

100 % en línea

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

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.
Horas para completar

Aprox. 21 horas para completar

Sugerido: 6-8 hours/week...
Idiomas disponibles

Inglés (English)

Subtítulos: Inglés (English), Español (Spanish)...

Programa - Qué aprenderás en este curso

Semana
1
Horas para completar
3 horas para completar

Integrating Differential Equations

Our first look at integrals will be motivated by differential equations. Describing how things evolve over time leads naturally to anti-differentiation, and we'll see a new application for derivatives in the form of stability criteria for equilibrium solutions....
Reading
5 videos (Total: 75 min), 2 readings, 8 quizzes
Video5 videos
A Simple O.D.E.16m
More O.D.E.s15m
O.D.E. Linearization16m
BONUS!8m
Reading2 lecturas
How Grading Works10m
Your Guide to Getting Started in this Course10m
Quiz8 ejercicios de práctica
Core Homework: Indefinite Integrals10m
Challenge Homework: Indefinite Integrals2m
Core Homework: A Simple O.D.E.10m
Challenge Homework: A Simple O.D.E.4m
Core Homework: More O.D.E.s10m
Challenge Homework: More O.D.E.s8m
Core Homework: O.D.E. Linearization14m
Challenge Homework: O.D.E. Linearization6m
Semana
2
Horas para completar
2 horas para completar

Techniques of Integration

Since indefinite integrals are really anti-derivatives, it makes sense that the rules for integration are inverses of the rules for differentiation. Using this perspective, we will learn the most basic and important integration techniques. ...
Reading
6 videos (Total: 76 min), 8 quizzes
Video6 videos
Integration by Parts16m
Trig Substitution15m
BONUS!7m
Partial Fractions15m
BONUS!6m
Quiz8 ejercicios de práctica
Core Homework: Integration by Substitution12m
Challenge Homework: Integration by Substitution4m
Core Homework: Integration by Parts14m
Challenge Homework: Integration by Parts6m
Core Homework: Trig Substitution12m
Challenge Homework: Trig Substitution6m
Core Homework: Partial Fractions12m
Challenge Homework: Partial Fractions6m
Semana
3
Horas para completar
1 hora para completar

The Fundamental Theorem of Integral Calculus

Indefinite integrals are just half the story: the other half concerns definite integrals, thought of as limits of sums. The all-important *FTIC* [Fundamental Theorem of Integral Calculus] provides a bridge between the definite and indefinite worlds, and permits the power of integration techniques to bear on applications of definite integrals. ...
Reading
3 videos (Total: 46 min), 3 quizzes
Video3 videos
The F.T.I.C.16m
BONUS!12m
Quiz3 ejercicios de práctica
Core Homework: Definite Integrals10m
Core Homework: The F.T.I.C.10m
Challenge Homework: The F.T.I.C.8m
Semana
4
Horas para completar
2 horas para completar

Dealing with Difficult Integrals

The simple story we have presented is, well, simple. In the real world, integrals are not always so well-behaved. This last module will survey what things can go wrong and how to overcome these complications. Once again, we find the language of big-O to be an ever-present help in time of need. ...
Reading
4 videos (Total: 50 min), 1 reading, 6 quizzes
Video4 videos
BONUS!6m
Trigonometric Integrals15m
Tables and Software11m
Reading1 lectura
About the Chpater 3 Exam10m
Quiz6 ejercicios de práctica
Core Homework: Improper Integrals16m
Challenge Homework: Improper Integrals10m
Core Homework: Trigonometric Integrals12m
Challenge Homework: Trigonometric Integrals4m
Challenge Homework: Tables and Software8m
Chapter 3: Integration - 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. ...

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