Calculus for Chemistry Majors: Overcome Struggles & Prepare for Grad School

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SUMMARY

Calculus is essential for chemistry majors, particularly in fields like Biochemistry and Physical Chemistry, where integration and differential equations are used to derive kinetic rate laws. While some branches, such as organic and medicinal chemistry, require only basic calculus, others like quantum chemistry and statistical mechanics demand advanced mathematical concepts including differential geometry and group theory. Resources like "The Chemistry Maths Book" by Erich Steiner provide foundational support for students struggling with calculus. Understanding the mathematical requirements of specific chemistry subfields is crucial for success in graduate studies.

PREREQUISITES
  • Basic understanding of calculus concepts (integration and differentiation)
  • Familiarity with differential equations
  • Knowledge of physical chemistry principles
  • Awareness of statistical mechanics and its applications
NEXT STEPS
  • Study advanced calculus topics, including vector calculus and linear algebra
  • Learn about differential equations and their applications in population biology
  • Explore group theory and its relevance in crystallography and molecular spectroscopy
  • Read "The Chemistry Maths Book" by Erich Steiner for a comprehensive understanding of chemistry-related mathematics
USEFUL FOR

Chemistry majors, particularly those pursuing Biochemistry, Genetics, or Physical Chemistry, as well as students preparing for graduate studies in chemistry-related fields.

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I was wondering as to just how deeply chemistry relies on calculus. I'm great at all my chemistry homework and studies, but calculus is a real struggle for me. Not that it's impossible, just with the resources I have it's incredibly difficult. I worry that in the future, as in when I get to grad school, I may not be able to perform as well as I do now. Could someone tell me what I should focus on in calculus to keep strong in chemistry? I'm thinking about going for a degree in Biochemistry or Genetics, have also thought about carreers concerning quantum chemistry.
 
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There is a great deal of calculus (and more) in physical chemistry.

Let me just say this: calculus, relative to all other sorts of math, is not that conceptually hard. You will have to do group theory eventually, and that's HARD math.
 
In Biochemistry, integration and differential equations are heavily utilized to derive kinetic rate laws. Biochemistry is heavily evolving with physical chemistry and chemical physics, and now you're beginning to see many disciplines of biochemistry taught from a more physical based orientation (x-ray crystallography, statistical mechanics, molecular physics, quantum chemistry, density functional theory, and so forth).

Population biology and genetics is heavily endowed with ordinary an partial differential equations (for example: predator-prey populations and so forth).

However, from my personal experience, this is not the norm but sub specialties within these various fields.

In physical chemistry and chemical physics, the range of mathematics is vast. These particular fields overlap heavily with atomic and molecular physics. Therefore the language of mathematics is ever increasing and includes differential geometry, topology, group theory, graph theory, and much more.

However, sub-fields in chemistry like organic, medicinal, inorganic, and so forth rarely (again from personal experience) utilize math beyond calculus and simple group theory(point groups) unless they're further sub specialized with a more theoretical approach.
 
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There's a lot of overlap between condensed matter physics and physical chemistry or even analytical chemistry as well, so the thermodynamics, solid state physics and statistical mechanics will be important too. These require at least vector calculus and linear algebra.

Statistics and signal processing is used in analytical chemistry. Analytical chemistry is part of every other chemistry, since you have to characterize your products.

Group theory is used in both crystallography (physical chemistry) and molecular spectroscopy (analytical chemistry). There's also complex analysis.

Some highly applied things in physical and analytical chemistry, such as biosensors and high efficiency photovoltaics, make use of solid state physical phenomena like surface plasmon resonance.

I won't mention biochemistry too much since I don't know much about it, but in my intro class, there was stuff about statistical mechanics of protein denaturation and yes, the derivation of rate laws in enzyme kinetics.

But in organic synthesis, inorganic synthesis and medicinal chemistry, you don't need math beyond calculus.
 
Short version: there are branches of chemistry where heavy weight math is a must, there are branches where calculus is an overkill.
 
Have a look in your local library at

The Chemistry Maths Book by Erich Steiner.

It suitable to accompany Chemical sciences up to degree level, but he makes it very easy and clear and starts from a high school base.
The book can be understood by any competent upper level high school student, who would be able to see where things are heading.

go well in your studies.
 
I'm a 4th year chem student and the only time I actually needed to use calculus was in quantum mechanics (solving the Schrödinger equation and stuff like that). In 1st and 2nd year we had modules on calculus though. I don't like maths either so I avoid physical chemistry. I'm good at everything else.
 

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