Astro-Physics: Math Struggles & Domains of Functions

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SUMMARY

The discussion centers on the necessity of understanding domains of functions in the context of pursuing a major in astrophysics. Participants emphasize that while precalculus concepts may seem trivial, they form the foundational skills required for more advanced mathematics, such as calculus, which is essential for modeling physical phenomena. The conversation highlights that mathematical equations, including E=mc² and concepts from general relativity, rely on a solid grasp of functions and their domains. Ultimately, mastering these mathematical principles is crucial for anyone aiming to comprehend the complexities of the universe.

PREREQUISITES
  • Understanding of basic algebra and trigonometry
  • Familiarity with precalculus concepts, particularly functions and their domains
  • Basic knowledge of physics principles, including gravity and general relativity
  • Willingness to engage with calculus concepts such as limits, derivatives, and integrals
NEXT STEPS
  • Study calculus fundamentals, focusing on limits, derivatives, and integrals
  • Explore the application of functions in physics, particularly in modeling motion
  • Research the role of tensors in advanced physics and astrophysics
  • Investigate mathematical modeling techniques used in astrophysics research
USEFUL FOR

Students considering a major in astrophysics, educators teaching mathematics in a scientific context, and anyone interested in the mathematical foundations necessary for understanding physical laws and the universe.

DeepSpace9
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While my math struggles continue. I find my self asking if this is the right major I want to chose (astrophysics) I'm in precalculus college level lol.. We are doing domains of comp functions.. and I find it all pointless.. I am very good at algebra and trig...

Is this fog (x) stuff really used much when it comes to physics?

I love astronomy witch got me into physics.. I want to research and learn about the universe and space.. Not domains of functions.. Are domains even needed realistically when it comes to astrophysics? Maybe some mathematicians can help me out. When I look at formulas and equations like gravity, gen relativity. They seem so simple e=mc^2 etc.. And all the formulas look like sqrt over a fraction etc.. Simple stuff, so why do I need to learn domains and functions. ?
 
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The language of physics is mathematics, so if you intend to major in astrophysics, you will need to take a lot a math classes along the way. Mathematical equations and functions are used to model physical phenomena of all kinds.

What you're doing right now is learning the basics of mathematics, similar to what you would be doing to learn how to play an instrument or to become proficient in some athletic endeavor. To become a good musician or good athlete you have to put in many hours at the basic skills.
 
DeepSpace9 said:
While my math struggles continue. I find my self asking if this is the right major I want to chose (astrophysics) I'm in precalculus college level lol.. We are doing domains of comp functions.. and I find it all pointless.. I am very good at algebra and trig...

Is this fog (x) stuff really used much when it comes to physics?

I love astronomy witch got me into physics.. I want to research and learn about the universe and space.. Not domains of functions.. Are domains even needed realistically when it comes to astrophysics? Maybe some mathematicians can help me out. When I look at formulas and equations like gravity, gen relativity. They seem so simple e=mc^2 etc.. And all the formulas look like sqrt over a fraction etc.. Simple stuff, so why do I need to learn domains and functions. ?

It's common misconception that relativity is all about basic formulas like E=mc^2 and things like that. In fact the functions that you are learning right now are way too simple to be useful for any real world problem. When you progress you will have to do much more complicated stuff with functions and even deal with functions of n variables. You will have to understand abstract objects like tensors and such.

You really have to understand that math is very important for physics. You need to find some motivation that will show you how useful it is in realiy. The universe is very hard thing to understand. The only known way to try to understand it is mathematics.

I think that when you start learning the basics of the real calculus like limits, derivatives and integrals and start to solve basic physics problems about moving objects you will see that all this stuff feels very natural.
 

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