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Calculus: Single Variable Part 4 - Applications

Approx. 21 hours to complete

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Course Summary

This course teaches the applications of calculus in various fields such as physics, economics, and engineering. It covers topics such as optimization, related rates, and differential equations.

Key Learning Points

Learn how to apply calculus concepts in real-world scenarios
Understand optimization, related rates, and differential equations
Explore various fields where calculus is used, including physics, economics, and engineering

Learning Outcomes

Ability to apply calculus concepts in real-world scenarios
Understanding of optimization, related rates, and differential equations
Knowledge of calculus applications in various fields

Prerequisites or good to have knowledge before taking this course

Basic understanding of calculus concepts such as derivatives and integrals
Familiarity with algebra and trigonometry

Course Difficulty Level

Intermediate

Course Format

Online
Self-paced
Video lectures
Assignments

Similar Courses

Mathematical Methods for Physics
Calculus One

Related Education Paths

Notable People in This Field

Dr. James Stewart
Salman Khan

Related Books

Description

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.

Outline

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

Summary of User Reviews

Read reviews for Applications of Calculus course on Coursera. Users have found this course to be informative and engaging. One key aspect that many users thought was good is the clear and concise explanations provided by the instructor.

Pros from User Reviews

Clear and concise explanations
Engaging content
Good for beginners
Great course material
Flexibility in completing the course

Cons from User Reviews

Lack of interaction with the instructor
Some users found the pace too slow
Not enough practice problems
Some users found the course to be too basic
Limited opportunities for peer interaction

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