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.
ofrecido por
Calculus: Single Variable Part 3 - Integration
Universidad de PensilvaniaAcerca de este Curso
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Fechas lÃmite flexibles
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100Â % en lÃnea
Comienza de inmediato y aprende a tu propio ritmo.
Aprox. 17 horas para completar
Inglés (English)
SubtÃtulos: Francés (French), Portugués (europeo), Ruso (Russian), Inglés (English), Español (Spanish)
Habilidades que obtendrás
- Differential Equations
- Integration By Parts
- Improper Integral
- Integration By Substitution
Fechas lÃmite flexibles
Restablece las fechas lÃmite en función de tus horarios.
100Â % en lÃnea
Comienza de inmediato y aprende a tu propio ritmo.
Aprox. 17 horas para completar
Inglés (English)
SubtÃtulos: Francés (French), Portugués (europeo), Ruso (Russian), Inglés (English), Español (Spanish)
ofrecido por
Universidad de Pensilvania
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.
Programa - Qué aprenderás en este curso
6 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.
6 horas para completar
5 videos (Total 75 minutos), 2 lecturas, 8 cuestionarios
5 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.
5 horas para completar
6 videos (Total 76 minutos)
2 horas 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.
2 horas para completar
3 videos (Total 46 minutos)
4 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.
4 horas para completar
4 videos (Total 50 minutos), 1 lectura, 6 cuestionarios
Reseñas
- 5 stars86,87Â %
- 4 stars10,85Â %
- 3 stars1,58Â %
- 2 stars0,22Â %
- 1 star0,45Â %
Principales reseñas sobre CALCULUS: SINGLE VARIABLE PART 3 - INTEGRATION
por BP8 de dic. de 2016
excellent course ..please guys enroll and learn with best prof...Robert Ghrist....
por JH14 de mar. de 2021
Excellent method. would like to take the next course in the sequence
por WT28 de sep. de 2020
UN CURSO EXCELENTE, CON METODOLOGIAS ACORDES A LA ACTUALIDAD Y APLICACIONES AFINES.
Un consulta. ¿Cómo accedo al Certificado? Gracias
por AB17 de jun. de 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.
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