Is First-Year Physics Always This Math-Intensive?

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Starting a first-year physics course can be surprising, as the focus may shift from expected topics like kinematics and integrals to more abstract concepts such as n-dimensional spaces and groups in linear algebra. Mastery of these mathematical foundations is essential for understanding advanced physics, particularly in areas like classical mechanics and quantum mechanics. While the initial coursework may seem overly mathematical, it lays the groundwork for future studies where these concepts become applicable. Engaging in practical experiences, such as working in a physics lab, can enhance understanding and provide valuable insights into experimental physics. Overall, the abstract nature of early physics courses is necessary for deeper comprehension in later studies.
Flukkie
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First of all I'd like to say hello to everyone.
I've just started my first year physics course at the university of Brussels and after 2 months I have to say that it turned out completely different than I expected. I knew I would get a lot of math and physics, but I expected something different. For example: I thought that we would mostely occupy ourselfs with solving several types of integrals and differential equations or that we would start with the basics of kinematics. Instead of that we get a whole different kind of math and physics. For instance: in math we started to describe the real numbers and it's density. Later on we described n-Dimensional Euclidean spaces, balls and environments. (I'm not really sure if that's the correct English term) In linear Algebra we study things like groups and fields and sertain types of spaces and it's properties. In physics we get a lot of difficult exercises which can only be solved with differential equations and I've never solved one in my entire life! I hadn't even seen one. Actually all these things are completely new for me and I can't get a hang on it because it's all too abstract.
Now my question is: Does a course in physics allways go like this?
Is there maybe a way I can study these subjects in a better way and are all these things I mentioned above really necessary for more advanced physics? because I'm getting the feeling that we're all doing this just for the math and not really for physics.
 
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Welcome to the forums Flukkie,

The approach to each topic can vary among professors and institutions, but some topics will require differential equations no matter what.

As to the math, you definitely need it if you want to pursue more advanced courses. The better you understand it now, the better you will grasp the meaning in later physics courses. There is no way around it.
 
Ok now that's cleared up I guess there is no other way.
That means you can expect a lot of questions from me :)
 
Originally posted by Flukkie
I'm getting the feeling that we're all doing this just for the math and not really for physics.

Hi Flukkie,
I can only speak about Germany, and it's very similar here. In fact, the 1st year courses are almost the same for math & physics students. I asked myself exactly the same question that you ask, and I was quite desperate then.
However, in 2nd year there's classical mechanics and classical electrodynamics. In these, you will be very thankful if you can handle calculus properly. Don't worry so much about differential equations, since most of them are so complicated you will have to look up the solution anyway. Get a good compendium (e.g. Bronstein), it has most of what you need.
Then, as you enter quantum mechanics, you will be very glad that you have learned about linear operators, vectorspaces, eigenvalues, and so on. An understanding of linear algebra is IMO crucial in quantum theory. Plus, you also use a lot of calculus again, epecially Fourier theory.
I agree there is too little experimental physics at the university. They expect you have done that at school... well. A good idea is IMO to get a student job in a physics lab. Gives you some money, but more importantly you can learn a lot about actual physical experimenting from the people who work there.
 
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