oferecido por

University of Pennsylvania

Informações sobre o curso

4.8

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29 avaliações

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 third part--part three of five--we cover integrating differential equations, techniques of integration, the fundamental theorem of integral calculus, and difficult integrals....

Comece imediatamente e aprenda em seu próprio cronograma.

Redefinir os prazos de acordo com sua programação.

Sugerido: 6-8 hours/week...

Legendas: English, Spanish...

Differential EquationsIntegration By PartsImproper IntegralIntegration By Substitution

Comece imediatamente e aprenda em seu próprio cronograma.

Redefinir os prazos de acordo com sua programação.

Sugerido: 6-8 hours/week...

Legendas: English, Spanish...

Week

1Our 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 75 min), 2 leituras, 8 testes

Indefinite Integrals17min

A Simple O.D.E.16min

More O.D.E.s15min

O.D.E. Linearization16min

BONUS!8min

How Grading Works10min

Your Guide to Getting Started in this Course10min

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

Week

2Since 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 76 min), 8 testes

Integration by Parts16min

Trig Substitution15min

BONUS!7min

Partial Fractions15min

BONUS!6min

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

Week

3Indefinite 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 46 min), 3 testes

Core Homework: Definite Integrals10min

Core Homework: The F.T.I.C.10min

Challenge Homework: The F.T.I.C.8min

Week

4The 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 50 min), 1 leitura, 6 testes

About the Chpater 3 Exam10min

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

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. ...

When will I have access to the lectures and assignments?

Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

What will I get if I purchase the Certificate?

When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

What is the refund policy?

Is financial aid available?

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