Informações sobre o curso
4.8
206 classificações
30 avaliações

100% online

Comece imediatamente e aprenda em seu próprio cronograma.

Prazos flexíveis

Redefinir os prazos de acordo com sua programação.

Aprox. 22 horas para completar

Sugerido: 6-8 hours/week...

Inglês

Legendas: Inglês, Espanhol

Habilidades que você terá

Differential EquationsIntegration By PartsImproper IntegralIntegration By Substitution

100% online

Comece imediatamente e aprenda em seu próprio cronograma.

Prazos flexíveis

Redefinir os prazos de acordo com sua programação.

Aprox. 22 horas para completar

Sugerido: 6-8 hours/week...

Inglês

Legendas: Inglês, Espanhol

Programa - O que você aprenderá com este curso

Semana
1
3 horas para concluir

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....
5 vídeos (total de (Total 75 mín.) min), 2 leituras, 8 testes
5 videos
A Simple O.D.E.16min
More O.D.E.s15min
O.D.E. Linearization16min
BONUS!8min
2 leituras
How Grading Works10min
Your Guide to Getting Started in this Course10min
8 exercícios práticos
Core Homework: Indefinite Integrals10min
Challenge Homework: Indefinite Integrals2min
Core Homework: A Simple O.D.E.10min
Challenge Homework: A Simple O.D.E.4min
Core Homework: More O.D.E.s10min
Challenge Homework: More O.D.E.s8min
Core Homework: O.D.E. Linearization14min
Challenge Homework: O.D.E. Linearization6min
Semana
2
2 horas para concluir

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. ...
6 vídeos (total de (Total 76 mín.) min), 8 testes
6 videos
Integration by Parts16min
Trig Substitution15min
BONUS!7min
Partial Fractions15min
BONUS!6min
8 exercícios práticos
Core Homework: Integration by Substitution12min
Challenge Homework: Integration by Substitution4min
Core Homework: Integration by Parts14min
Challenge Homework: Integration by Parts6min
Core Homework: Trig Substitution12min
Challenge Homework: Trig Substitution6min
Core Homework: Partial Fractions12min
Challenge Homework: Partial Fractions6min
Semana
3
1 hora para concluir

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. ...
3 vídeos (total de (Total 46 mín.) min), 3 testes
3 videos
The F.T.I.C.16min
BONUS!12min
3 exercícios práticos
Core Homework: Definite Integrals10min
Core Homework: The F.T.I.C.10min
Challenge Homework: The F.T.I.C.8min
Semana
4
2 horas para concluir

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. ...
4 vídeos (total de (Total 50 mín.) min), 1 leitura, 6 testes
4 videos
BONUS!6min
Trigonometric Integrals15min
Tables and Software11min
1 leituras
About the Chpater 3 Exam10min
6 exercícios práticos
Core Homework: Improper Integrals16min
Challenge Homework: Improper Integrals10min
Core Homework: Trigonometric Integrals12min
Challenge Homework: Trigonometric Integrals4min
Challenge Homework: Tables and Software8min
Chapter 3: Integration - Exam20min
4.8
30 avaliaçõesChevron Right

Melhores avaliações

por CCJul 2nd 2018

I like it because it though me differential equations. This topics was previously missing from my education. It can be daunting to learn DE without proper guidance. This course provided just that.

por ABJun 18th 2016

A bit difficult, but not truly when a good effort is made. No doubt interesting. Even a post graduate student will truly benefit from this course.

Instrutores

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Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering

Sobre Universidade da Pensilvânia

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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