课程信息
4.8
819 个评分
216 个审阅
100% 在线

100% 在线

立即开始,按照自己的计划学习。
可灵活调整截止日期

可灵活调整截止日期

根据您的日程表重置截止日期。
完成时间(小时)

完成时间大约为19 小时

建议:6-8 hours/week...
可选语言

英语(English)

字幕:英语(English), 西班牙语(Spanish), 中文(简体)

您将获得的技能

Series ExpansionsCalculusSeries Expansion
100% 在线

100% 在线

立即开始,按照自己的计划学习。
可灵活调整截止日期

可灵活调整截止日期

根据您的日程表重置截止日期。
完成时间(小时)

完成时间大约为19 小时

建议:6-8 hours/week...
可选语言

英语(English)

字幕:英语(English), 西班牙语(Spanish), 中文(简体)

教学大纲 - 您将从这门课程中学到什么

1
完成时间(小时)
完成时间为 1 小时

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......
Reading
1 个视频 (总计 8 分钟), 2 个阅读材料, 1 个测验
Video1 个视频
Reading2 个阅读材料
Welcome10分钟
Your Guide to Getting Started in this Course10分钟
Quiz1 个练习
Diagnostic Exam16分钟
2
完成时间(小时)
完成时间为 1 小时

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?...
Reading
3 个视频 (总计 36 分钟), 1 个阅读材料, 4 个测验
Video3 个视频
Functions15分钟
Exponentials15分钟
BONUS!4分钟
Reading1 个阅读材料
How Grading Works10分钟
Quiz4 个练习
Core Homework: Functions16分钟
Challenge Homework: Functions8分钟
Core Homework: The Exponential16分钟
Challenge Homework: The Exponential4分钟
3
完成时间(小时)
完成时间为 2 小时

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.......
Reading
5 个视频 (总计 69 分钟), 8 个测验
Video5 个视频
Computing Taylor Series16分钟
Convergence16分钟
BONUS!7分钟
Expansion Points14分钟
Quiz8 个练习
Core Homework: Taylor Series12分钟
Challenge Homework: Taylor Series6分钟
Core Homework: Computing Taylor Series16分钟
Challenge Homework: Computing Taylor Series2分钟
Core Homework: Convergence14分钟
Challenge Homework: Convergence4分钟
Core Homework: Expansion Points10分钟
Challenge Homework: Expansion Points8分钟
4
完成时间(小时)
完成时间为 3 小时

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....
Reading
4 个视频 (总计 62 分钟), 1 个阅读材料, 7 个测验
Video4 个视频
Limits15分钟
l'Hôpital's Rule16分钟
Orders of Growth17分钟
BONUS!12分钟
Reading1 个阅读材料
About the Chapter 1 Exam10分钟
Quiz7 个练习
Core Homework: Limits20分钟
Challenge Homework: Limits12分钟
Core Homework: l'Hôpital's Rule12分钟
Challenge Homework: l'Hôpital's Rule10分钟
Core Homework: Orders of Growth20分钟
Challenge Homework: Orders of Growth8分钟
Chapter 1: Functions - Exam20分钟

讲师

Avatar

Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering

关于 University of Pennsylvania

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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