How Much Overlap B/n Physics & Math Major?

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Discussion Overview

The discussion centers on the overlap between physics and mathematics degree programs, exploring the extent of shared coursework and the relationship between interest and aptitude in both fields. It includes considerations of curriculum structure, teaching styles, and personal experiences related to the two disciplines.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants suggest that math and physics degrees share common lower division courses such as linear algebra and calculus, but diverge significantly at the upper division level.
  • One participant estimates that the overlap is below 50%, noting that pure math courses focus more on proofs and abstract concepts, while physics courses emphasize practical applications of mathematical tools.
  • Another participant highlights that the overlap and teaching approach can vary significantly depending on the professor, with some integrating physics into math courses and others maintaining a strict focus on pure mathematics.
  • A participant mentions that at their institution, a physics major would need to take about eight additional math classes to double major, potentially extending their studies by a year.

Areas of Agreement / Disagreement

Participants express differing views on the extent of overlap between the two degrees, with no consensus reached on a specific percentage or the implications of being skilled in one discipline for the other.

Contextual Notes

The discussion reflects personal experiences and institutional variations, indicating that the overlap may depend on specific course offerings and teaching methods, which are not universally applicable.

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How much overlap is there usually between a physics and math degree?

Is it 50%+? And does being good or interested in one usually translate into being good at or interested in the other?
 
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Math and physics degrees usually require the same lower division math courses such as linear algebra, multivariable and vector calculus, differential equations, etc.

As for upper division courses, math and physics will be quite different. pure math courses will be more heavily focused on proofs and abstract results that may or may not be of interest to physics majors. physics courses (in my experience) dwell less on the proofs and more on using mathematical tools to make calculations.

So the overlap I would say is below 50%.

Being good/interested in one does not imply being good/interested in the other. both require different skill sets and different ways of thinking. though it is not uncommon to be good at/interested in both.
 
It depends on the professor and how the courses are taught. I had an analysis professor that was a mathematical physicist and loved to throw in physics talk in his lectures. On the other hand, some math professors don't know much physics and will treat the class as a pure math class.
 
At my school a physics major would have to take, I think, 8 additional math classes in order to double major in both math and physics. Some of these can be taken together, but, ultimately, they would add about one additional year.
 

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