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.
oferecido por
Calculus: Single Variable Part 1 - Functions
Universidade da PensilvâniaInformações sobre o curso
45.836 visualizações recentes
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Aprox. 14 horas para completar
Inglês
Legendas: Árabe, Francês, Portuguese (European), Chinês (simplificado), Italiano, Vietnamita, Alemão, Russo, Inglês, Espanhol
Habilidades que você terá
- Series Expansions
- Calculus
- Series Expansion
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Aprox. 14 horas para completar
Inglês
Legendas: Árabe, Francês, Portuguese (European), Chinês (simplificado), Italiano, Vietnamita, Alemão, Russo, Inglês, Espanhol
oferecido por
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.
Programa - O que você aprenderá com este curso
1 hora para concluir
Introduction
Welcome to Calculus: Single Variable! below you will find the course's diagnostic exam. if you like, please take the exam. you don't need to score a minimal amount on the diagnostic in order to take the course. but if you do get a low score, you might want to readjust your expectations: this is a very hard class...
1 hora para concluir
1 vídeo (Total 8 mín.), 2 leituras, 1 teste
3 horas para concluir
A Review of Functions
This module will review the basics of your (pre-)calculus background and set the stage for the rest of the course by considering the question: just what <i>is</i> the exponential function?
3 horas para concluir
3 vídeos (Total 36 mín.), 1 leitura, 4 testes
5 horas para concluir
Taylor Series
This module gets at the heart of the entire course: the Taylor series, which provides an approximation to a function as a series, or "long polynomial". You will learn what a Taylor series is and how to compute it. Don't worry! The notation may be unfamiliar, but it's all just working with polynomials....
5 horas para concluir
5 vídeos (Total 69 mín.)
5 horas para concluir
Limits and Asymptotics
A Taylor series may or may not converge, depending on its limiting (or "asymptotic") properties. Indeed, Taylor series are a perfect tool for understanding limits, both large and small, making sense of such methods as that of l'Hopital. To solidify these newfound skills, we introduce the language of "big-O" as a means of bounding the size of asymptotic terms. This language will be put to use in future Chapters on Calculus.
5 horas para concluir
4 vídeos (Total 62 mín.), 1 leitura, 7 testes
Avaliações
- 5 stars80,22%
- 4 stars15,44%
- 3 stars2,24%
- 2 stars0,69%
- 1 star1,38%
Principais avaliações do CALCULUS: SINGLE VARIABLE PART 1 - FUNCTIONS
por KR17 de ago de 2020
Very good and challenging material! This motivated me to do better in my Calculus Courses. Would definitely have more of these courses soon, as this is suited for higher mathematics in college.
por YX26 de jul de 2020
Very good refresh course for calculus. Content could be tough and require a lot of thinking. But I learned a lot or reviewed a lot about the calculus concept in my college year.
por AT13 de ago de 2020
Very insightful. However, I believe (although I may be wrong) that certain methods and techniques required to solve the homework problems weren't explained in the course material.
por EL1 de ago de 2020
Wonderful course. I can't even remember when was the last time that I was challenged in this way. Congratulations. Great content, great videos, great practice, great challenges.
Perguntas Frequentes – FAQ
Quando terei acesso às palestras e às tarefas?
Mais dúvidas? Visite o Central de Ajuda ao estudante.
