University of Pennsylvania - Calculus: Single Variable Part 4 - Applications
- Offered byCoursera
- Public/Government Institute
Calculus: Single Variable Part 4 - Applications at Coursera Overview
Duration | 21 hours |
Total fee | Free |
Mode of learning | Online |
Schedule type | Self paced |
Official Website | Explore Free Course  |
Credential | Certificate |
- Overview
- Highlights
- Course Details
- Curriculum
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.
Calculus: Single Variable Part 4 - Applications 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 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.
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
Other courses offered by Coursera
Student Forum
Anything you would want to ask experts?