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UPenn - Calculus: Single Variable Part 4 - Applications 

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Calculus: Single Variable Part 4 - Applications
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Overview

Duration

21 hours

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Total fee

Free

Mode of learning

Online

Schedule type

Self paced

Official Website

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Credential

Certificate

Calculus: Single Variable Part 4 - Applications
 at 
Coursera 
Highlights

  • Earn a certificate from the university of Pennsylvania upon completion of course.
  • Flexible deadlines according to your schedule.
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Calculus: Single Variable Part 4 - Applications
 at 
Coursera 
Course details

More about this course
  • 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 fourth part--part four of five--we cover computing areas and volumes, other geometric applications, physical applications, and averages and mass. We also introduce probability.
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Calculus: Single Variable Part 4 - Applications
 at 
Coursera 
Curriculum

Computing Areas and Volumes

Simple Areas

Complex Areas

BONUS!

Volumes

BONUS!

Complex Volumes

How to Get Started in this Course

How Grading Works

Core Homework: Simple Areas

Challenge Homework: Simple Areas

Core Homework: Complex Areas

Challenge Homework: Complex Areas

Core Homework: Simple Volumes

Challenge Homework: Simple Volumes

Core Homework: Complex Volumes

Challenge Homework: Complex Volumes

Other Geometric Applications

Volume & Dimension

BONUS

Arclength

Surface Area

Core Homework: Volume and Dimension

Challenge Homework: Volume and Dimension

Core Homework: Arclength

Challenge Homework: Arclength

Core Homework: Surface Area

Challenge Homework: Surface Area

Physical Applications

Work

Elements

BONUS!

Core Homework: Work

Challenge Homework: Work

Core Homework: Elements

Challenge Homework: Elements

Averages and Mass

Averages

Centroids

BONUS!

Moments and Gyrations

BONUS!

Core Homework: Averages

Challenge Homework: Averages

Core Homework: Centroids

Challenge Homework: Centroids

Core Homework: Moments and Gyrations

Challenge Homework: Moments and Gyrations

An Introduction to Probability

Fair Probability

Probability Densities

Expectation and Variance

About the Chapter 4 Exam

Core Homework: Fair Probability

Challenge Homework: Fair Probability

Core Homework: Probability Densities

Challenge Homework: Probability Densities

Core Homework: Expectation and Variance

Challenge Homework: Expectation and Variance

Chapter 4: Applications - Exam

Calculus: Single Variable Part 4 - Applications
 at 
Coursera 
Admission Process

    Important Dates

    May 25, 2024
    Course Commencement Date

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    Calculus: Single Variable Part 4 - Applications
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