What are some real-world applications of Calculus 2?

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Discussion Overview

The discussion revolves around the real-world applications of Calculus 2, focusing on concepts such as series, integrals, numerical approximation, differential equations, and area/volume integrals. Participants share ideas and examples for a project related to these topics.

Discussion Character

  • Exploratory
  • Homework-related

Main Points Raised

  • One participant seeks ideas for a project on applications of Calculus 2 without needing detailed explanations.
  • Another participant outlines potential topics covered in their Calculus 2 course, including series and integrals, and invites others to elaborate on applications.
  • A participant shares their experience of researching map transformations and mentions another student's project on airplanes as examples of applications found in articles.
  • One participant describes integration as a method for measuring various quantities, such as the amount of paint needed for a smokestack or the distance to a star.
  • Magnetic imaging is mentioned as an application where calculus is used to create images of the brain and identify tumors.
  • A participant recalls a formula related to forestry that estimates the BTUs based on the height of wood piles.
  • The Law of Growth and Decay is cited as an application of integration, particularly in measuring half-lives of radioactive elements.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of various applications of Calculus 2, but there is no consensus on specific examples or the depth of detail required for the project.

Contextual Notes

Some participants express uncertainty about the availability of quality articles on the applications of Calculus 2, indicating a potential limitation in resources for research.

Alem2000
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I was wondering if anyone wanted to chat on applications of calculus 2 (or just give me ideas). Its for a project later in the simester for my calc 2 class and I wanted to brain storm but didnt get far. Any links would be great :rolleyes:
 
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great idea.. except nobody knows what you are talking about

ill assume calculus 2 in your school deals with series, integrals, numerical approximation, differential equations, complex numbers, and area/volume integrals

dont have time right now.. if anyone wants to explain applications of each one in detail - go right ahead
 
Yes that's what calc2 is where I am taking it. And no I don't mean sit there and explain to me its applications, just a an ideas and a real brief summary.
 
I had to do a similar paper in calc 2...what I did was head over to the library and search for articles. I ended up writing about map transformations (like the map of earth). some other girl did something about airplanes. there were not a whole lot of articles we could find that we considered good, but they are there, just look around.
 
well i always tell my class that integration is about measuring how big thigns are, how much paint it takes to paint a smokestack, how far it is to a star, how much fuel it takes to send a rocket to mars, how many slaves it took to build cheops pyramid, how long a telephone wire has to be to reach from memphis to san francisco, how much pollution there is in a stream between athens and atlanta, etc etc etc...
 
magnetic imaging is another one, where machines take images of slices of the brain say and combine them to give a picture of the organism and any possible tumors or other problems.
 
oh and i knew a forester who gave a formula for how many btu's were lying on the ground from how high the wood was piled etc etc..

it also keeps numerous loony mathematics types off the streets at nights answering this blog
 
The Law of Growth and Decay is an application of Integration. It can be used to measure half-lifes of radioactive elemnts, etc.
 

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