How proof heavy is applied mathematics?

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SUMMARY

The discussion focuses on the level of proof required in applied mathematics courses such as Partial Differential Equations (PDEs), Fourier Series, Laplace Transforms, Vector Calculus, Intermediate Linear Algebra, and Computational Mathematics. It concludes that courses primarily aimed at engineering and science majors typically involve minimal proofs, especially in foundational subjects like Calculus. However, Intermediate Linear Algebra may require more proof-oriented work. The most reliable method to ascertain the proof intensity of these courses is to consult directly with the instructors or review the course catalog.

PREREQUISITES
  • Understanding of Partial Differential Equations (PDEs)
  • Familiarity with Fourier Series and Laplace Transforms
  • Knowledge of Vector Calculus
  • Basic concepts of Intermediate Linear Algebra
NEXT STEPS
  • Research the course syllabus for Intermediate Linear Algebra at your institution
  • Contact instructors for insights on proof requirements in applied mathematics courses
  • Explore resources on Computational Mathematics techniques
  • Review foundational Calculus proofs to prepare for advanced topics
USEFUL FOR

Students majoring in physics, engineering, or applied mathematics, as well as educators seeking to understand the structure of mathematics courses and their proof requirements.

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Especially for 2nd & 3rd year courses I'm looking at such as PDEs, Fourier series & laplace tranforms, Vector calculus, intermediate level linear algebra, computational maths, lagranian and hamiltonian dynamics?
 
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I imagine the courses you listed would have little proofs as they rely a lot on Calculus for which you've seen the proofs already. As a physics major, I recall taking these courses and not having to do any proofs. You could check with the profs of these classes and see what they say or the course catalog and see if its for engineering and science majors too that would be a clue.
 
I think "intermediate" linear algebra sounds like it might be a little proofy. Others would depend on the particular class. Best way to find out would be to e-mail or talk to the instructor because it's up to them how they structure the class.
 

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