Teaching Thermodynamics with minimal math

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Discussion Overview

The discussion revolves around the teaching of thermodynamics with minimal reliance on mathematics. Participants explore the feasibility of conveying thermodynamic principles through applied explanations rather than mathematical problem-solving, drawing parallels to aerodynamics education.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Meta-discussion

Main Points Raised

  • One participant suggests that thermodynamics is often perceived as a math-heavy subject and seeks methods to teach it through applied explanations.
  • Another participant argues that omitting too much math could compromise the rigor and depth of the subject, noting that while basic applications may not require calculus, more complex topics do.
  • A question is raised regarding the target audience for the course, emphasizing the importance of defining the course objectives and context.
  • Concerns are expressed about the suitability of a non-math approach for students majoring in fields that require a quantitative understanding of thermodynamics.

Areas of Agreement / Disagreement

Participants do not reach a consensus. There are competing views on the balance between mathematical rigor and applied learning in teaching thermodynamics, as well as differing opinions on the appropriate audience for such an approach.

Contextual Notes

Participants highlight the need for clarity regarding the course goals and the intended audience, which may influence the teaching approach. The discussion reflects varying assumptions about the depth of understanding required for different student groups.

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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