How to use C++ in studying calculus

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SUMMARY

This discussion focuses on the integration of C++ programming in studying calculus. While C++ can be utilized for computational tasks, it is essential to have a solid understanding of the language before applying it to calculus problems. Alternatives such as MATLAB, Mathematica, Julia, and Python are recommended for numerical integration and learning calculus concepts effectively. The use of well-written libraries in C++ can enhance the learning experience, but beginners may find it challenging without prior programming knowledge.

PREREQUISITES
  • Proficiency in C++ programming
  • Understanding of calculus concepts
  • Familiarity with numerical integration techniques
  • Knowledge of alternative tools like MATLAB and Mathematica
NEXT STEPS
  • Explore numerical integration in MATLAB
  • Learn about Mathematica for calculus applications
  • Investigate Julia's capabilities for numerical computing
  • Practice calculus concepts using GeoGebra software
USEFUL FOR

Students studying calculus, educators seeking programming tools for teaching, and programmers interested in applying C++ to mathematical computations.

sherlin
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How to use C++ in studying calculus
I'm having a hard time.
 
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I sympathize, but can't help with a sensible (and somewhat concrete) answer unless you provide some more context. What specifically makes it hard ? The calculus, the c++ language, anything else ... ?
What have you done/seen/learnt so far ?
 
Why do you need any programming to learn calculus?
 
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Maybe it's the other way around :smile:
 
Program the ti-84 to learn calculus
 
Rosetta Code has a numerical integration topic implemented in several languages for selected functions:

https://rosettacode.org/wiki/Numerical_integration

If you are instead trying to learn Calculus and want to use programming to verify your answers (not a good idea - as you'll be spinning your wheels and getting frustrated trying to understand why your answer isn't what the teacher gets exactly - and it won't help on tests or quizzes).

You could consider using MATLAB (popular in college with engineers) or Mathematica:

https://rosettacode.org/wiki/Numerical_integration#MATLAB_.2F_Octave

https://rosettacode.org/wiki/Numerical_integration#Mathematica

Other languages I forgot to mention are Julia (MAtlab like) and Python. Both of which have examples for numerical integration:

https://rosettacode.org/wiki/Numerical_integration#Julia

https://rosettacode.org/wiki/Numerical_integration#Python
 
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While you can use C++ for any problem that is or can get computable, you will definitely need some good skills in C++ first. In the past when in college, I was using C extensively for computations in various fields of math. It was an excellent exercise for becoming a better programmer. You can also do this in C++ - provided that you use the available well written and tested libraries that exist, but it will be tricky enough when it comes to difficult concepts / computations. I would recommend to try to do your best - it will take time and efforts, but meanwhile, as pointed out by jedishrfu, you can use some numerical computing environment like Matlab or Mathematica - there is other such software as well, in order to learn the math concepts without inaccurate approximations or other errors.
 
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For simple experiments in calculous (changing parameters, seeing graphs of the functions, integrals, and derivatives), you might want to look at the free GeoGebra software package.
 
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