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 1 - Functions
Universidad de PensilvaniaAcerca de este Curso
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Fechas límite flexibles
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100 % en línea
Comienza de inmediato y aprende a tu propio ritmo.
Aprox. 14 horas para completar
Inglés (English)
Subtítulos: Árabe (Arabic), Francés (French), Portugués (europeo), Chino (simplificado), Italiano, Vietnamita, Alemán (German), Ruso (Russian), Inglés (English), Español (Spanish)
Habilidades que obtendrás
- Series Expansions
- Calculus
- Series Expansion
Fechas límite flexibles
Restablece las fechas límite en función de tus horarios.
100 % en línea
Comienza de inmediato y aprende a tu propio ritmo.
Aprox. 14 horas para completar
Inglés (English)
Subtítulos: Árabe (Arabic), Francés (French), Portugués (europeo), Chino (simplificado), Italiano, Vietnamita, Alemán (German), 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
1 hora para completar
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 completar
1 video (Total 8 minutos), 2 lecturas, 1 cuestionario
3 horas para completar
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 completar
3 videos (Total 36 minutos), 1 lectura, 4 cuestionarios
5 horas para completar
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 completar
5 videos (Total 69 minutos)
5 horas para completar
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 completar
4 videos (Total 62 minutos), 1 lectura, 7 cuestionarios
Reseñas
- 5 stars80,04 %
- 4 stars15,59 %
- 3 stars2,29 %
- 2 stars0,70 %
- 1 star1,36 %
Principales reseñas sobre CALCULUS: SINGLE VARIABLE PART 1 - FUNCTIONS
por YG2 de jul. de 2018
Very well structured for a refresher course. Thank you Professor Ghrist for your effort in putting this course together. A little additional outside research was required but well worth the effort.
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 OK24 de jul. de 2021
Really enjoyable and well thought out explanations, but many examples went unexplained which I consider a waste since it would be useful to see the thought process of a solution.
por HB27 de sep. de 2020
As a mathematics student in high school who just wanted to learn and explore more in calculus and university math this was a great first step to start with. Can't wait to go for chapter 2!!!
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