How much did you know when you entered Grad School?

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SUMMARY

This discussion centers on the preparation required for entering graduate school in fields such as physical chemistry and mathematics. Participants emphasize the importance of a solid foundation in classical mechanics, quantum mechanics, thermodynamics, and statistical mechanics. One contributor, entering a physical chemistry program, highlights their strengths in thermodynamics and quantum mechanics while acknowledging gaps in areas like electromagnetism. Another participant, who double majored in math and physics, reflects on their extensive coursework but expresses concerns about their retention of physics knowledge and the challenges faced in graduate-level math courses.

PREREQUISITES
  • Understanding of classical mechanics and quantum mechanics
  • Familiarity with thermodynamics and statistical mechanics
  • Knowledge of graduate-level mathematics, including functional analysis and algebra
  • Basic concepts in spectroscopy and computational chemistry
NEXT STEPS
  • Review classical mechanics and quantum mechanics fundamentals
  • Study thermodynamics and statistical mechanics in depth
  • Explore functional analysis and operator theory for advanced mathematics
  • Investigate the spin-boson model and its applications in spectroscopy
USEFUL FOR

Graduate students in physical chemistry and mathematics, educators in STEM fields, and anyone preparing for advanced studies in physics or chemistry.

deluks917
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a lot of people ask what people should know. However I think it would be interesting to here what people's preparation for grad school really was. Math/Physics/Engineering are all fine. If you are entering in the fall I would also like to here from you.
 
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It's a tough question to quantify. I am entering a physical chemistry program. I'll most likely be doing theory (analytical theory, not computational simulations).

According to my coursework, I am knowledgeable in classical mechanics, physical chemistry, quantum mechanics, thermodynamics, statistical mechanics, spectroscopy, computational chemistry and inorganic chemistry, plus some stuff I am forgetting (not e&m, my big gap).

More personally, I feel I only have a good grasp of thermodynamics, quantum mechanics and stat mech at the undergraduate level. Those are the areas I feel very comfortable self studying, working out problems, filling in gaps, etc.

I am familiar with a lot more topics so when people talk about broadening in spectroscopy, or spin-boson model or lie algrebras, I can follow the terminology without getting lost but I am not particularly comfortable working on those areas by myself.

My math background is solid for a chemistry or physics major. I have a very good background in math, I've taken tons of courses BUT I am not particularly great at math so there are many people with lesser backgrounds who are more capable.
 
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I'm entering a math PhD program this fall after finishing my undergrad last fall (I'm in the US). In terms of preparation, I double majored in math and physics in undergrad and so I have all of the standard coursework for those degrees. I did graduate courses in quantum mechanics, functional analysis, operator theory/algebras, algebra, algebraic geometry/topology, and differential topology/geometry.

I feel like I've forgotten a serious chunk of the physics I knew, though. I basically did all of my physics requirements and then all of my math requirements, instead of doing them at the same time (since I didn't decide to major in math until my 4th year). I feel that some of my early grad-level coursework in math was pretty weak because of that - I barely got by and it routinely took me hours to solve a single problem. So I'm not going to try to test out of any of the intro grad coursework since I think it will be worthwhile for me to relearn it all, and in a more serious manner than I did as an undergrad where I worried about the grade too much.
 

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