How much math and physics will I need for physical chemistry?

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SUMMARY

To succeed in physical chemistry, a solid foundation in calculus, particularly Calculus III, is essential. While differential equations are moderately useful, linear algebra and discrete mathematics are not necessary for most physical chemistry applications. A background in college physics, including thermodynamics and quantum mechanics, is crucial, with recommendations to take additional courses in modern physics for a deeper understanding. The necessity of further mathematics and physics varies based on specific sub-specialties within physical chemistry.

PREREQUISITES
  • Calculus III (Multivariable Calculus)
  • Differential Equations
  • College Physics (including Thermodynamics and Quantum Mechanics)
  • Understanding of sub-specialties in physical chemistry
NEXT STEPS
  • Research the role of Differential Equations in Quantum Mechanics
  • Explore the applications of Linear Algebra in theoretical chemistry
  • Investigate Modern Physics topics relevant to physical chemistry
  • Learn about the various sub-specialties within physical chemistry and their mathematical requirements
USEFUL FOR

Students preparing for physical chemistry, particularly those transitioning from a 2-year college to a university, as well as PhD candidates in chemistry focusing on theoretical and ultrafast spectroscopy.

Mr. Fizzix
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I am new to this forum.

Although physical chemistry only requires calculus 3 (which I'll have taken regardless), many people are saying that I would be better off taking more math than that before taking physical chem, since I wouldn't have to learn as much that's new. I've been recommended to take differential equations and linear algebra. Do you think that'll be enough to get by on?

Before I transfer to a university, I won't have many classes my last semester at that 2-year college. They also offer discrete mathematics. Would this class also help me for physical chemistry?

Also, how much physics do you recommend? I've had college physics 1 & 2 and statics, and will have had dynamics, thermodynamics, mechanics of materials, and fluid dynamics before taking physical chem. Will this be enough? I've heard that physics 3 (wave and optics) and physics 4 (modern physics) also may help a lot. Will they help enough to go out of my way to take those classes?
 
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Thermodynamics and quantum physics will be the main physics you see in physical chemistry. QM is usually introduced in a modern physics class, so that will probably be sufficient. Discrete mathematics and linear algebra probably won't be very useful for pchem. Differential equations will be moderately useful, but I didn't take it before taking pchem and I got through it without any trouble.

Btw, this isn't really a career guidance question.
 
Linear algebra isn't necessary. Intro Mechanics and E&M course is barely necessary, as well, IMO.
 
It depends on what you want to do - even within physical chemistry, there are sub-specialties for which linear algebra, optics, and E&M will have varying levels of utility.

I'm currently a PhD student in physical chemistry. I work in two research groups - one focusing on ultrafast/non-linear optics, the other on theoretical chemistry. I did take linear algebra as an undergrad, and I'm extremely glad I did. I would consider it a de facto requirement for work in theory or ultrafast spectroscopy (Don't take my word for it - pull up a modern paper on quantum scattering theory or optical studies of photosystem I/II and look at the mathematics employed in them). My colleagues who work took classes in these fields with no prior linear algebra experience have almost unanimously stated they wish they had taken some.

As far as differential equations go, I'm always surprised to hear this isn't required. Comfortably navigating equations in quantum mechanics (at least the type that seems to be relevant at this level of p-chem research) seems to hinge on at least a rudimentary understanding of ODE's. I did take this - chemistry majors at my undergrad institution were required to.

It's true that discrete mathematics won't be necessary for physical chemistry (I took discrete mathematics courses to satisfy a separate computer science requirement as an undergrad).

For many fields, E&M and optics would be useful as well (I didn't take any classes along these lines as an undergrad except for introductory calculus-based physics) - I've had a slow start because I'm learning most of these optics concepts for the first time, and I'm planning next year to take an upper level undergrad E&M class in our physics department; there's simply a lot I don't know that I'd benefit from understanding, to the extent that I feel taking a class may be more efficient than trying to teach myself everything.

On the other hand, I have friends in physical chemistry who focus on fabrication of photonic materials and the like, and they rarely employ linear algebra or optics principles - again, it depends. I just wanted to share my experience and offer another opinion on the matter.
 
For thermodynamics and kinetics ("Physical Chemistry I" at my school), you really only need multivariable calculus ("Calculus III").
 

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