Materials Science: Math & Physics Requirements

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SUMMARY

Materials science requires a solid foundation in both physics and mathematics, contrary to the belief that it primarily focuses on chemistry. Graduates must be proficient in non-relativistic quantum mechanics, statistical mechanics, and physical chemistry, particularly electrochemistry, depending on their specialization. Advanced mathematics, including partial differential equations and tensor analysis, is essential for understanding the physics of materials. Combining materials science with mechanical engineering is highly beneficial, as it enhances knowledge in mechanics of materials and prepares students for diverse engineering disciplines.

PREREQUISITES
  • Non-relativistic quantum mechanics
  • Statistical mechanics
  • Physical chemistry (including electrochemistry)
  • Advanced mathematics (partial differential equations, tensor analysis)
NEXT STEPS
  • Research non-relativistic quantum mechanics techniques
  • Explore statistical mechanics applications in materials science
  • Study physical chemistry with a focus on electrochemistry
  • Learn about finite element analysis in applied mathematics
USEFUL FOR

Students and professionals in materials science, mechanical engineering, and related fields seeking to deepen their understanding of the mathematical and physical principles underlying material properties and behaviors.

evil88
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I heard that in materials science you don't get to use that much math and physics, but mostly chemistry, is that true? If not, what kind of physics do grads in material science have to learn?
And how is it combining material science with mechanical engineering?, is this a good idea?
 
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evil88 said:
I heard that in materials science you don't get to use that much math and physics, but mostly chemistry, is that true?
Not in my experience.

If not, what kind of physics do grads in material science have to learn?
Are you asking about grad school? If you are, that depends entirely on the specialization of choice. For instance, if you go into any kind of microscopic modeling, you will need to know most of the standard techniques involved in non-relativistic quantum mechanics. If you are going to study catalysis or surface reaction dynamics, you will need some physical chemistry in addition. If you are dealing with electronic/magnetic materials, you will again need QM and Stat Mech. For fracture mechanics you will need Stat Mech and some chemical kinetics. For corrosion and coatings, you will need a lot of physical chemistry (particularly, electrochemistry).

And how is it combining material science with mechanical engineering?, is this a good idea?
What do you mean by "combining"? Could you be a little more specific about your situation? It will help us advise you better.
 
evil88 said:
I heard that in materials science you don't get to use that much math and physics, but mostly chemistry, is that true? If not, what kind of physics do grads in material science have to learn?
Well, if one really wants to get down into the physics of materials, one will need some advanced mathematics, e.g. partial differential equations, tensor analysis, applied mathematics with emphasis on Finite Element Analysis.
And how is it combining material science with mechanical engineering?, is this a good idea?
Absolutely. Mechanics of materials is important. Anyone specializing in an engineering discipline (e.g. Mechanical, Civil, Structural, Aerospace, Nuclear, . . .) would do well to add Materials Science and Engineering courses, or even as a second major, if possible.

Use of mulitphysics codes is a key talent and will be in the future.
 

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