Some guide would be very much appreciated

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SUMMARY

The discussion centers on the concerns of a Chemistry student transitioning to theoretical chemistry, particularly regarding mathematical preparedness for a PhD program. The student is currently self-studying A-level mathematics topics, including calculus, differentiation, integration, and differential equations. Responses emphasize the importance of mastering linear algebra and partial differential equations to bridge the gap in mathematical knowledge necessary for success in theoretical chemistry. It is concluded that while the student may not reach the level of a final-year physics student in two years, significant progress can be made with dedicated study.

PREREQUISITES
  • A-level calculus, differentiation, and integration
  • Understanding of differential equations
  • Familiarity with linear algebra concepts
  • Basic knowledge of complex numbers, matrices, and vectors
NEXT STEPS
  • Study linear algebra in depth, focusing on vector spaces and transformations
  • Learn partial differential equations (PDEs) and their applications in physics
  • Explore advanced calculus topics, including multivariable calculus
  • Practice solving physics problems related to quantum mechanics, such as the particle in a box
USEFUL FOR

Chemistry students, aspiring theoretical chemists, and anyone preparing for a PhD in chemical physics who seeks to strengthen their mathematical foundation.

Wavefunction12
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Hi guys,

I'm currently going into my 3rd year of Chemistry. Due to the course my life has taken, when I did my A-levels I had no idea that theoretical chemistry/physics would be an area I would like to pursue.
I didn't take an A-level in Mathematics, but am currently working through A-level type calculus, differentiation, integration, differential equations. Will also be covering complex numbers, matrices and vectors.
The advice I would like is in relation to my PhD... Do you think somebody with my background could excel and pursue theoretical chemistry as a career? I'm a good student, have won a number of academic awards throughout the Chemistry degree, I'm just concerned that my lack of mathematical training will hinder me. I'm trying to power through as many topics as possible, but I am still worried that I won't be able to have my desired career in Chemical Physics.

Any responses appreciated,

PT
 
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Aren't you making up for some of the supposed lack of mathematical training by your present studies?
 
DrSteve said:
Aren't you making up for some of the supposed lack of mathematical training by your present studies?
Well, I wouldn't say the level of mathematics in the chemistry degree even roughly equates to what is needed to study for a PhD in theoretical chemistry. We covered elementary calculus in first year, but differential equations, matrices, linear algebra, nothing. This is why I'm concerned.
 
Then I'm confused by your statement
Wavefunction12 said:
but am currently working through A-level type calculus, differentiation, integration, differential equations. Will also be covering complex numbers, matrices and vectors
Aren't you involved in some self-teaching at the moment?
 
DrSteve said:
Then I'm confused by your statement

Aren't you involved in some self-teaching at the moment?
I thought you were referring to my degree! Apologies! I am working through that list of things at the moment, but understanding 'What do I need to know' in the field of mathematics feels daunting.
For example, solving problems such as particle in a box, particle on a ring, rigid rotor, they are still above my ability. Yes I'm sat here with very high grades in my degree, but surely my inability to solve them at the moment shows a career in theoretical chemistry/chemical physics shouldn't be considered...
 
Do you feel that you will be better equipped after you complete your self-training? I would surely think so.
 
DrSteve said:
Do you feel that you will be better equipped after you complete your self-training? I would surely think so.
I do indeed, but where my concerns truly sit is in relation to the PhD program. Is two years enough time to become as mathematically well equipped as a final year physics student? That's what is hard to understand.
 
Probably not, but at least you'll be a lot closer. I would recommend, in addition, the serious study of linear algebra and partial differential equations. This should catch you up.
 
DrSteve said:
Probably not, but at least you'll be a lot closer. I would recommend, in addition, the serious study of linear algebra and partial differential equations. This should catch you up.
Okay brilliant, thanks! Would you say that elementary single variable calculus is a satisfactory precursor to studying linear algebra and PDE's?
 
  • #10
In an ideal word, no, but in the practical world we live in, yes. You'll get plenty of exposure to 3-d analysis in both of the recommended subjects.
 

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