UPenn - Calculus: Single Variable Part 1 - Functions
- Offered byCoursera
Calculus: Single Variable Part 1 - Functions at Coursera Overview
Duration | 14 hours |
Total fee | Free |
Mode of learning | Online |
Schedule type | Self paced |
Official Website | Explore Free Course  |
Credential | Certificate |
Calculus: Single Variable Part 1 - Functions at Coursera Highlights
- 33% started a new career after completing these courses.
- 27% got a tangible career benefit from this course.
- 12% got a pay increase or promotion.
- Earn a shareable certificate upon completion.
Calculus: Single Variable Part 1 - Functions at Coursera Course details
- 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.
Calculus: Single Variable Part 1 - Functions at Coursera Curriculum
Introduction
Introduction
Welcome
Your Guide to Getting Started in this Course
Diagnostic Exam
A Review of Functions
Functions
Exponentials
BONUS!
How Grading Works
Core Homework: Functions
Challenge Homework: Functions
Core Homework: The Exponential
Challenge Homework: The Exponential
Taylor Series
Taylor Series
Computing Taylor Series
Convergence
BONUS!
Expansion Points
Core Homework: Taylor Series
Challenge Homework: Taylor Series
Core Homework: Computing Taylor Series
Challenge Homework: Computing Taylor Series
Core Homework: Convergence
Challenge Homework: Convergence
Core Homework: Expansion Points
Challenge Homework: Expansion Points
Limits and Asymptotics
Limits
l'Hôpital's Rule
Orders of Growth
BONUS!
About the Chapter 1 Exam
Core Homework: Limits
Challenge Homework: Limits
Core Homework: l'Hôpital's Rule
Challenge Homework: l'Hôpital's Rule
Core Homework: Orders of Growth
Challenge Homework: Orders of Growth
Chapter 1: Functions - Exam
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