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University of Pennsylvania

课程信息

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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 first part--part one of five--you will extend your understanding of Taylor series, review limits, learn the *why* behind l'Hopital's rule, and, most importantly, learn a new language for describing growth and decay of functions: the BIG O....

立即开始，按照自己的计划学习。

根据您的日程表重置截止日期。

建议：6-8 hours/week...

字幕：English, Spanish, Chinese (Simplified)...

Series ExpansionsCalculusSeries Expansion

立即开始，按照自己的计划学习。

根据您的日程表重置截止日期。

建议：6-8 hours/week...

字幕：English, Spanish, Chinese (Simplified)...

Week

1Welcome 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 个视频（共 8 分钟）, 2 个阅读材料, 1 个测验

Introduction8分钟

Welcome10分钟

Your Guide to Getting Started in this Course10分钟

Diagnostic Exam16分钟

Week

2This 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 个视频（共 36 分钟）, 1 个阅读材料, 4 个测验

How Grading Works10分钟

Core Homework: Functions16分钟

Challenge Homework: Functions8分钟

Core Homework: The Exponential16分钟

Challenge Homework: The Exponential4分钟

Week

3This 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 个视频（共 69 分钟）, 8 个测验

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

Week

4A 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....

4 个视频（共 62 分钟）, 1 个阅读材料, 7 个测验

About the Chapter 1 Exam10分钟

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

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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