Amount of math in materials science/engineering?

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Discussion Overview

The discussion centers on the amount of mathematics required in materials science and engineering programs, particularly in relation to course offerings at different universities. Participants explore the types of math courses typically needed, including calculus, differential equations, and linear algebra, and share personal experiences regarding their educational paths.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant notes that the University of Toronto's materials science program requires only one math course over four years, raising questions about the adequacy of this requirement.
  • Another participant mentions that at Cal Poly, students are required to take Calculus, Multivariable Calculus, and possibly Differential Equations, along with college algebra as a prerequisite.
  • A clarification is made regarding "algebra," specifying that the participant meant linear algebra, which is typically taken alongside or after calculus.
  • A materials science/engineering major from a major US research university shares that their program required multiple math courses, including calculus I, II, III, differential equations, linear algebra, and a statistics class, emphasizing the importance of these subjects for understanding core materials science concepts.
  • This participant argues that proficiency in differential equations and linear algebra is crucial for topics like solid state diffusion and analyzing crystal lattices, and suggests that students should take as much math as possible.
  • Another participant expresses interest in the theoretical versus computational aspects of math, questioning whether a more theoretical approach is necessary for their studies in materials science.

Areas of Agreement / Disagreement

Participants express differing views on the sufficiency of math requirements in materials science programs, with some advocating for a broader mathematical foundation while others reflect on their own experiences with varying requirements. No consensus is reached on the necessity of specific math courses or approaches.

Contextual Notes

Limitations include potential differences in program requirements across universities, varying definitions of necessary math courses, and the subjective nature of what constitutes sufficient preparation for materials science.

emyt
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Hi, I was just looking over the "course calendar" for a materials science/engineering program at the University of Toronto (http://www.artsandscience.utoronto.ca/ofr/calendar/prg_mse.htm ). I find it strange that there is only ONE required math course throughout all 4 years. I know that there is some physics involved with materials science, so how much math is generally "required" in this field? will there be algebra? the expectations only seem to be a course in calculus, but I'm pretty sure that I'll need more than that. thanks
 
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It might be different in Toronto, but at Cal Poly you have to take Calculus, Multivariable Calculus, and possibly Differential Equations. You normally have to complete college algebra before you can start the calculus series.
 
Legion81 said:
It might be different in Toronto, but at Cal Poly you have to take Calculus, Multivariable Calculus, and possibly Differential Equations. You normally have to complete college algebra before you can start the calculus series.

thanks. to clarify, by algebra, I meant linear algebra.. et c. I don't know "college algebra" is supposed to be but linear algebra is usually taken after or concurrently with calculus
 
Hello,
I am a materials science/engineering major (along with a double major in physics) at a major research university in the US. For MSE I had to take calc I, calc II, calc III (sometimes called multivariable), diff. eq., linear algebra and a stat class.

You need differential equations for things like solid state diffusion (you need it for all of physics really); you need calc III for stuff like thermo and magnetic properties; you need lin. alg. for analyzing crystal lattices as well as quantum mechanics which materials scientists DO NEED TO BE PROFICIENT WITH. And you need the others in order to learn the above subjects, they're the base.

I would encourage you to take as much math as possible; I would also encourage you to double major or minor in physics or chem. Every time I tell a mat sci prof my major, they say something to the effect of "I wish I had done something like that." Materials science is getting evermore fundamental. And physics or chemistry will give you an advantage.

I hope this helped (and was not overwhelming).
 
thanks, it was precisely the information I was looking for. I'm taking spivak-style calculus courses and a more theoretical linear algebra course right now. I really like it, but is it necessary? should I look at the more computational side of math rather than the proof/theoretical side of math? I've heard some people say "if you need calculus for physics, spivak isn't your book" - I'm thinking if this applies.
 

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