Do graduate students learn the math as they go?

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SUMMARY

Graduate students in MSc physics programs often encounter advanced mathematical concepts such as those found in general relativity, particle physics, physical cosmology, and quantum mechanics. Mathematics is typically taught concurrently with these subjects, and students are expected to self-study additional math as needed. For PhD students, while undergraduate-level mathematics is foundational, they will frequently face new mathematical challenges that require independent learning and self-teaching skills. Mastery of abstract mathematics is essential for success in advanced physics research.

PREREQUISITES
  • Understanding of general relativity and its mathematical foundations
  • Familiarity with quantum mechanics and associated mathematical techniques
  • Knowledge of self-directed learning strategies
  • Basic proficiency in undergraduate-level mathematics
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  • Research advanced mathematical concepts in general relativity
  • Explore self-study techniques for learning complex mathematics
  • Investigate the role of independent learning in graduate education
  • Study the mathematical requirements for particle physics and physical cosmology
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Graduate students in physics, educators in higher education, and researchers seeking to enhance their mathematical skills for advanced studies in physics.

autodidude
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I was looking at the course structure of a MSc (physics) program and all the subjects that are required are all physics - no math. Some of the topics are general relativity, particle physics, physical cosmology and quantum mechanics - would the mathematics required for such topics be beyond undergraduate level math? Or is the math generally taught concurrently within the class?

And for a PhD student, are most of the mathematics they need undergraduate level mathematics? Do they generally take classes or is it all just research?
 
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The math will be taught concurrently with the graduate course and it will also be beyond undergrad understanding. You may be required to self-study some math as well. But keep in mind, at that level of physics it's pretty much all abstract mathematics.
 
autodidude said:
And for a PhD student, are most of the mathematics they need undergraduate level mathematics? Do they generally take classes or is it all just research?

The answer to your second question depends on where you are in the world. But wherever you are, at some stage of a physics research degree you are going to come across problems that need maths you haven't seen before to solve. One of the skills you need to learn is the ability to pick this up yourself as you need it.
 
Yeah - I've figured that I actually learn things MUCH faster if I learn them as I go. It's some sort of motivational thing - I don't have any aesthetic appreciation for the "beauty of math", so math is really only motivating if it motivates something.
 
Modulated said:
One of the skills you need to learn is the ability to pick this up yourself as you need it.

Agreed. One of the most important skills learned in grad school, regardless of the field, is the ability to become an independent learner and teach oneself whatever one needs to do their work.
 

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