What are the Real-World Applications of Calculus?

In summary, Frank is looking for resources on the different applications of calculus, specifically in physics and finance. They recommend the Stewarts 7th Edition Textbook, but also suggest looking at actual physics or finance books rather than math books. They offer their help in creating cdf demos or solving problems.
  • #1
Nile3
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Hello, I learned both calculus and integral calculus a little while ago and my classes did not contain a lot of applied calculus (almost no physics or finance). I was wondering if there is a good ressource about the the different applications of calculus (with the math if possible).

I am quite good at programming with Mathematica also (I'm a tech turned admin turned programmer) and would like to offer my help at creating cdf demos or doing problem resolution. If you need a hand with something, just let me know.

Thanks,

-Frank
 
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  • #2
Nile3 said:
Hello, I learned both calculus and integral calculus a little while ago and my classes did not contain a lot of applied calculus (almost no physics or finance). I was wondering if there is a good ressource about the the different applications of calculus (with the math if possible).

I am quite good at programming with Mathematica also (I'm a tech turned admin turned programmer) and would like to offer my help at creating cdf demos or doing problem resolution. If you need a hand with something, just let me know.

Thanks,

-Frank

Try Stewarts 7th Edition Textbook, he includes a variety of different applications of calculus concepts to problems of physics/biology/sociology/finance/economics
 
  • #3
yondy12 said:
Try Stewarts 7th Edition Textbook, he includes a variety of different applications of calculus concepts to problems of physics/biology/sociology/finance/economics

In my opinion, Stewart is one of the worst math textbooks ever written. If you want to get your love of math totally decimated, then you should read the book.

To know about applications of calculus, I think you should look at actual physics or finance books and not at math books. There are many good physics books, for example Kleppner.
 

FAQ: What are the Real-World Applications of Calculus?

What are the real-life applications of calculus?

Calculus has numerous real-life applications, including analyzing the motion of objects, predicting population growth, optimizing production and inventory levels in businesses, and understanding the behavior of electrical circuits. It is also used in fields such as engineering, economics, and medicine.

How is calculus used in physics?

Calculus is essential in physics as it allows us to mathematically describe and analyze the motion and behavior of objects. Concepts such as velocity, acceleration, and force can all be described and calculated using calculus.

How is calculus used in economics?

Calculus is used in economics to analyze and make predictions about economic trends and behavior. It is used to calculate marginal cost, revenue, and profit, as well as to optimize production levels and make informed business decisions.

What is the difference between differential and integral calculus?

Differential calculus deals with the study of rates of change and slopes of curves, while integral calculus deals with the calculation of areas under curves and the accumulation of quantities over a given interval. In simpler terms, differential calculus is about finding instantaneous rates of change, while integral calculus is about finding the total change over a given period.

How is calculus used in computer science?

Calculus is used in computer science for tasks such as data analysis, machine learning, and computer graphics. It is used to optimize algorithms, predict patterns and trends in data, and create realistic and accurate computer-generated images and animations.

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