Learn Calculus: Self-Study Tips & Resources

  • Thread starter anthonych414
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In summary, the dude was just trying to help you out and you can learn calculus based physics without needing to know all the specifics taught in algebra II or precalculus. You just need to have the foundation taught in those classes and be comfortable with math equations.
  • #1
anthonych414
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I want to start learning calculus based physics on my own this summer, but I don't know any calculus and I was just wondering how much math do I need to know so that I could be able to learn calculus on my own? And what textbooks would you recommend for me to learn calculus or precalculus, and Newtonian Calculus Based physics?
 
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Anyone receiving a solicitation via PM needs to report it to a mentor.
 
  • #3
the dude was just trying to help
 
  • #4
you mostly only need to be comfortable with properly manipulating math equations to learn calculus.

So you don't really need to know the specifics taught in algebra II or precalculus (like how to solve for imaginary roots, how to solve polynomials of x degree, etc.) you just need to have the foundation taught in those classes for manipulating math equations.
 
  • #5
ok thanks for the help
 
  • #6
Frankly, all I knew about mathematics when I first learned Calculus was solving equations (of the quadratic type) and a bit about trigonometry and geometry.
It's possible to begin learning Calculus with a modest background in Math. However, during the process, I needed to learn a lot more than Calculus. I wouldn't refrain from studying Calculus due to modest knowledge: learn all you need during your path.

I did it, and it was successful.
Good luck!
 
  • #7
Anyone can learn calculus, however, it requires will-power and determination. You need a solid background in precalculus. That is all.
To learn calculus you should take a look at these lecture videos: http://press.princeton.edu/video/banner/ They helped me get an A in calculus. As for a textbook, you should look into college-level books.
Here are some free online texts you could take a look at:
http://www.math.wisc.edu/~keisler/calc.html
http://ocw.mit.edu/OcwWeb/resources/RES-18-001Spring-2005/Textbook/index.htm

As for physics, I am using this book: https://www.amazon.com/dp/080532187X/?tag=pfamazon01-20
 

FAQ: Learn Calculus: Self-Study Tips & Resources

What is calculus and why is it important?

Calculus is a branch of mathematics that deals with the study of change and motion. It is important because it provides a framework for understanding and analyzing complex systems, such as those found in physics, engineering, economics, and other fields.

How can I effectively self-study calculus?

First, make sure you have a solid foundation in algebra and trigonometry. Then, set a specific goal and create a study schedule to help you stay on track. Utilize online resources, such as video tutorials and practice problems, and consider joining a study group or hiring a tutor for additional support.

What are some key topics to focus on when learning calculus?

Some key topics to focus on include limits, derivatives, integrals, and applications of calculus, such as optimization and related rates problems. It is also important to understand the fundamental theorems of calculus and be able to apply them in various contexts.

How much time should I dedicate to self-studying calculus?

The amount of time needed to self-study calculus varies for each individual, but it is recommended to spend at least 2-3 hours per day on studying and practicing problems. It is also important to take breaks and not overwork yourself, as understanding and retaining concepts is more important than simply spending a lot of time studying.

What are some useful resources for self-studying calculus?

In addition to online video tutorials and practice problems, there are also many helpful textbooks, study guides, and online courses available. Some popular resources include Khan Academy, Coursera, and MIT OpenCourseWare. It may also be beneficial to consult with a teacher or professor for recommendations on additional resources.

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