Mathematics foundation for degree in Physics

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Discussion Overview

The discussion revolves around the mathematical foundations necessary for pursuing a degree in Physics, particularly in the context of Medical Physics. Participants explore which mathematics courses would be beneficial beyond the standard curriculum, as well as inquiries into relevant Computer Science courses and resources for beginners.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant suggests that the amount of math needed in physics varies based on the specific area of physics one intends to pursue, mentioning the importance of courses like Calculus I, II, III, Linear Algebra, and Differential Equations.
  • Another participant notes that many physics courses will teach the necessary mathematical tools, implying that not all students need to take proof-based math courses unless they are focused on mathematical physics.
  • There is a question raised about the relevance of a course in complex analysis, with some participants discussing its potential inclusion in Calculus III or in a mathematical methods class.
  • Participants express interest in online tutorials for beginners in Computer Science, with one recommending a resource aimed at novices.

Areas of Agreement / Disagreement

Participants generally agree on the importance of foundational mathematics courses, but there is no consensus on the necessity of complex analysis or the specific courses that should be taken, indicating multiple competing views on the topic.

Contextual Notes

Some participants mention that the specific mathematical content may depend on the course structure and focus, highlighting a potential limitation in the discussion regarding the variability of course offerings across institutions.

Who May Find This Useful

Students considering a degree in Physics, particularly in Medical Physics, as well as those interested in foundational mathematics and Computer Science resources for beginners.

MathewsMD
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Hi,

After looking at future requirements for my program (Medical Physics), I realized it doesn't have as many specific math requirements as pure Physics module, but still has all the Physics requirements. I was just wondering, beyond first year Linear Algebra and second year Calculus, what mathematics courses would be specifically of benefit in pursuing a studies in Physics? I know more is always going to be helpful, but are there any that are particularly interesting or useful for a Physics major, whether for research- or course-related tasks?

I have the same question regarding Computer Science courses as well. I've also been looking online and does anyone have any online tutorials they would advise to beginners (no prior experience) for programming and general computer science knowledge? I have heard that learning the basics and learning them right is crucial, and any recommended programs would be greatly appreciated!
 
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Physics is a broad field. It ranges from experimental physics to mathematical physics. So the amount of math you'll need in physics will depend greatly on what kind of physics you would like to do.

I think you should at least do Calculus I,II,III, Linear algebra and differential equations. Other than that, there are a lot of mathematical tools that physicists need, however they don't necessarily need to take the mathematical (proof-based) course for it. Usually, there will courses like "mathematical methods for physics" which cover the necessary material. So unless you're into mathematical physics or very mathy theoretical physics (or just enjoy math for the sake of math :smile:), you should just take those.

Other than that, many physics courses will usually teach the math necessary. For example, you usually don't need to take a PDE course for QM, because they will teach you how to solve the Schrödinger's equation in QM.
 
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What about a course in complex analysis?
 
MathewsMD said:
Hi,
I have the same question regarding Computer Science courses as well. I've also been looking online and does anyone have any online tutorials they would advise to beginners (no prior experience) for programming and general computer science knowledge?



I enjoyed this as a total no0b.

http://inventwithpython.com/

Likewise, the first 'Invent' PDF. It's written for kids so it might be simplistic but whatever, I learned something from it.
 
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derek181 said:
What about a course in complex analysis?

I believe that's calculus III (3). Atleast, it's from what I'm from.
 
Strange said:
I believe that's calculus III (3). Atleast, it's from what I'm from.

I don't think many Calc III courses cover complex stuff. You'll rather see it in a math methods class or a specific complex variables/analysis class.
 

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