How to use C++ in studying calculus

In summary, the conversation discusses the use of C++ in studying calculus and offers suggestions for using other programming languages and software, such as MATLAB or Mathematica, for numerical integration. It is recommended to have strong skills in C++ before attempting complex computations in calculus. Additionally, using GeoGebra can be helpful for simple experiments in calculus.
  • #1
sherlin
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How to use C++ in studying calculus
I'm having a hard time.
 
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  • #2
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 ?
 
  • #3
Why do you need any programming to learn calculus?
 
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  • #4
Maybe it's the other way around :smile:
 
  • #5
Program the ti-84 to learn calculus
 
  • #6
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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  • #7
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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  • #8
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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1. How can C++ be used to solve calculus problems?

C++ can be used to write programs that can perform complex mathematical calculations, making it a useful tool for solving calculus problems. By using built-in functions and libraries, C++ can handle operations such as differentiation, integration, and solving differential equations.

2. Can C++ be used to plot graphs and functions in calculus?

Yes, C++ has libraries that allow for the creation of graphs and plots. By using these libraries, users can input equations and generate visual representations of functions and their derivatives, making it a helpful tool for visualizing calculus concepts.

3. Is C++ a suitable language for beginners to learn calculus?

C++ is a powerful and versatile programming language, but it may not be the best choice for beginners to learn calculus. It requires a solid understanding of programming fundamentals, and there are other programming languages that may be more user-friendly for beginners learning calculus.

4. How does using C++ help with understanding calculus concepts?

By writing programs and solving problems in C++, students can gain a deeper understanding of calculus concepts. Through the process of writing code and debugging, they can see how different calculus operations are performed step by step, which can enhance their understanding and retention of the material.

5. Are there any resources available for learning how to use C++ in studying calculus?

Yes, there are many online tutorials, books, and courses available for learning how to use C++ in studying calculus. Additionally, many universities offer courses or workshops that teach students how to apply programming languages like C++ to solve calculus problems.

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