Real life application of calculus

Click For Summary
SUMMARY

Real-life applications of calculus include calculating radioisotope production and burnout in fission reactors, understanding simple motion over time, and determining the total volume of a torus, such as a donut. The discussion highlights the importance of integrating to find volumes using the method of summing cylindrical shells, particularly in calculating the total volume of a donut based on its cross-section. Additionally, it emphasizes the practical application of calculus in financial contexts, such as calculating bank interest over time.

PREREQUISITES
  • Understanding of integral calculus
  • Familiarity with the concept of volumes of revolution
  • Basic knowledge of financial mathematics
  • Concept of radioactive decay in fission reactors
NEXT STEPS
  • Study the method of cylindrical shells in integral calculus
  • Explore applications of calculus in financial modeling
  • Learn about radioactive decay and its implications in nuclear physics
  • Investigate the geometry of toroidal shapes and their volumes
USEFUL FOR

Students of mathematics, physics enthusiasts, financial analysts, and anyone interested in the practical applications of calculus in real-world scenarios.

Eltahawy
Messages
13
Reaction score
3
i want a real life application of calculus so that I can understand it
 
Physics news on Phys.org
Radioisotope production and burnout in an operating fission reactor.
 
  • Like
Likes   Reactions: Eltahawy
Simple motion over time helped me understand calculus better than anything.
 
  • Like
Likes   Reactions: Eltahawy
Calculating how much money you have in the bank as a function of time given a starting amount of money and a certain interest rate.
 
Everyone likes donuts, so volume of a torus is a pretty good application of calculus.
Let's say you want to know how many calories are in the donut you're about to eat, but you only know the number of calories per unit volume. To find the total volume, you can rotate the cross section of the donut around the center of the empty hole in the middle (in this context, the empty hole is a distance form the y-axis).
This is a pretty typical application of integrating to find volumes by the method of summing cylindrical shells.
 

Similar threads

Insights What Are Infinitesimals – Simple Version
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Improper Integrals: Real-Life Applications & Syllabus Impact
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad Struggling with vector calculus identity used in E&M derivation
  • · Replies 3 ·
Replies
3
Views
2K
Insights Precalculus, Calculus and Infinitesimals
  • · Replies 0 ·
Replies
0
Views
3K
MHB Question about the differential in Calculus
  • · Replies 9 ·
Replies
9
Views
2K
High School Nature of Limits: Learn Calculus Basics w/o Limits Distraction
  • · Replies 13 ·
Replies
13
Views
3K
Insights Epsilontic – Limits and Continuity
  • · Replies 2 ·
Replies
2
Views
4K
MHB Real World Apps of Improper Integrals: Impact & Syllabus
  • · Replies 1 ·
Replies
1
Views
2K
High School How can hyperreal numbers make infinitesimals logically sound in calculus?
  • · Replies 24 ·
Replies
24
Views
6K
High School Understanding Kinematics in Calculus for High School Students
  • · Replies 6 ·
Replies
6
Views
2K