Teaching Thermodynamics with minimal math

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SUMMARY

This discussion focuses on teaching thermodynamics with minimal reliance on mathematics, emphasizing the need for applied explanations rather than complex calculations. The participants draw parallels with aerodynamics, specifically referencing the textbook "Aerodynamics for Naval Aviators" as a successful model for teaching complex subjects through accessible methods. The conversation highlights the importance of defining the target audience and course objectives, noting that a non-mathematical approach may not be suitable for students pursuing degrees in mechanical engineering or physics.

PREREQUISITES
  • Understanding of basic thermodynamic principles
  • Familiarity with applied learning techniques
  • Knowledge of audience-specific educational goals
  • Awareness of the role of mathematics in engineering disciplines
NEXT STEPS
  • Research effective teaching methods for thermodynamics without heavy math
  • Explore textbooks similar to "Aerodynamics for Naval Aviators" for thermodynamics
  • Define clear course objectives for a non-mathematical thermodynamics course
  • Investigate the balance between rigor and accessibility in engineering education
USEFUL FOR

Educators in engineering fields, curriculum developers, and anyone interested in teaching thermodynamics in a more accessible manner without heavy reliance on mathematics.

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.
 
I deeply respect people who are engaged in self-education. Nevertheless the problem of self-education is as follows. A person reads textbooks and forms his own opinion about what he has read. Then he tries to solve a problem and faces the fact that his answer is not equal to the one in the end of the book. Then he goes to specialists and asks them what the story is. He expects that specialists will help him to solve the problem and they will do that by using his own understandings and...

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