How Much Overlap B/n Physics & Math Major?

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SUMMARY

The overlap between a physics and math degree is typically below 50%, primarily due to the differing focus of upper division courses. While both disciplines share foundational lower division math courses such as linear algebra, multivariable calculus, and differential equations, physics emphasizes practical application of mathematical tools, whereas pure math concentrates on proofs and abstract concepts. Proficiency in one field does not guarantee proficiency in the other, as each requires distinct skill sets and cognitive approaches. The experience of students can vary significantly based on teaching styles and course structures.

PREREQUISITES
  • Understanding of lower division math courses: linear algebra, multivariable calculus, differential equations
  • Familiarity with the distinction between pure mathematics and applied mathematics
  • Knowledge of academic structures for double majoring in physics and mathematics
  • Awareness of different teaching methodologies in mathematics and physics
NEXT STEPS
  • Research the curriculum requirements for double majoring in Physics and Mathematics
  • Explore the differences between pure mathematics and applied mathematics courses
  • Investigate teaching styles of professors in both disciplines to understand their impact on learning
  • Examine career paths that utilize both physics and mathematics skills
USEFUL FOR

Students considering a double major in physics and mathematics, educators in STEM fields, and academic advisors guiding students in course selection and career planning.

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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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