Teaching Thermodynamics with minimal math

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The discussion centers on the challenge of teaching thermodynamics in a way that emphasizes understanding over mathematical problem-solving. Participants express a desire for resources that present thermodynamics principles through applied explanations, similar to how "Aerodynamics for Naval Aviators" approaches aerodynamics with minimal equations. There is a concern about balancing the need for mathematical rigor with the goal of making the subject accessible, particularly for audiences who may not require advanced math, such as those interested in practical applications like home insulation. The importance of defining the target audience and course objectives is highlighted, noting that a non-mathematical approach may not be suitable for students pursuing degrees in mechanical engineering or physics. The conversation underscores the need for clarity in educational goals when considering alternative teaching methods for thermodynamics.
littlegreyw0lf
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Thermodynamics is an interesting subject but all too often students think of it as solving math problems. And indeed most of the problem solving involves calculations which can be quite in-depth, requiring knowledge of calculus.

I have been looking for ways to deliver thermodynamics principles and knowledge in an applied manner, through explanations rather than falling back on math.

A good parallel is the subject of Aerodynamics : also a very mathematical subject, yet can be elegantly learned in applied fashion as in the textbook "Aerodynamics for Naval Aviators", mostly through explanations with minimal use of equations.

Am wondering if there is a similar approach and texts for Thermodynamics ?
 
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If you omit too much of the math, you'll lose too much of the rigor and depth ##-## if all you want to do with thermodynamics is insulate your house reasonably well at a reasonable cost, you need moderate arithmetic, and maybe some algebra, and perhaps even some optimization theory, but you can get by without calculus; however, for such matters as electron cloud probability density variations at fluctuating temperatures, you'll need some higher math if you want to understand how one quantity affects another.
 
littlegreyw0lf said:
I have been looking for ways to deliver thermodynamics principles and knowledge in an applied manner, through explanations rather than falling back on math.

Who is your target audience- to whom do you wish to teach this material? Also, what is the classroom context- a brief seminar, a full course, something else?
 
littlegreyw0lf said:
Thermodynamics is an interesting subject but all too often students think of it as solving math problems. And indeed most of the problem solving involves calculations which can be quite in-depth, requiring knowledge of calculus.

I have been looking for ways to deliver thermodynamics principles and knowledge in an applied manner, through explanations rather than falling back on math.

A good parallel is the subject of Aerodynamics : also a very mathematical subject, yet can be elegantly learned in applied fashion as in the textbook "Aerodynamics for Naval Aviators", mostly through explanations with minimal use of equations.

Am wondering if there is a similar approach and texts for Thermodynamics ?

Let's not put the cart before the horse here. You need to explicitly state the goal or outcome of such a course!

The course that may have used "Aerodynamics for Naval Aviators" were NOT meant for someone who is majoring in aerodynamics. If it is, then we are in deep doo doo, because that person will NOT be able to quantitatively design and evaluate aerodynamical systems!

So who do you intend to teach this non-math Thermo course to? What are the course objectives here? If this is intended for ME or Phys. major, then this course may be a waste of time. If this is intended for "Naval Aviators", then that's different.

Zz.
 
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