Maths needed for a plasma physics and astrophysics module

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SUMMARY

The discussion centers on the mathematical prerequisites for a plasma physics and astrophysics module, specifically for a second-year MEng Electrical and Mechanical Engineering student in the UK. Key mathematical concepts include solutions to wave and heat equations, vector calculus, and the mathematics of electromagnetic theory and hydrodynamics. The student must be proficient in solving simultaneous partial differential equations, particularly the Navier-Stokes equations, and should be comfortable with time-dependent, non-linear PDEs. Resources such as the Learning Materials forum for tutorials in physics are recommended for further study.

PREREQUISITES
  • Solutions to wave and heat equations
  • Vector calculus for electromagnetism and fluid dynamics
  • Mathematics of electromagnetic theory
  • Hydrodynamics and partial differential equations
NEXT STEPS
  • Study the Navier-Stokes equations in detail
  • Explore time-dependent, non-linear partial differential equations
  • Review tutorials on electromagnetic theory from the Learning Materials forum
  • Investigate advanced topics in fluid dynamics
USEFUL FOR

This discussion is beneficial for engineering students, particularly those pursuing MEng degrees, as well as anyone interested in the mathematical foundations necessary for advanced studies in plasma physics and astrophysics.

jemb
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Hi,

i'm studying a MEng Electrical and Mechanical engineering course in the UK. I've just started second year and have been approved by my advisor to take on an extra module next semester in plasma and astro physics.

This module is intended for 4th year physics students and won't count towards my actual degree credits. Its purely for my own interest in the subject.

My question is what maths am I going to need to be familiar with before I start? I've started looking at solutions to wave and heat equations, and covering vector calculus for electromagnetism and fluid dynamics.

Any thoughts on where I should go from there?
 
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Look at the mathematics of electromagnetic theory and hydrodynamics.

Ultimately one must be able to understand and solve sets of simultaneous partial differential equations, e.g., Navier-Stokes set (continuity - mass, momentum and energy), and conservation of charge. And one should be comfortable with time-depenedent, non-linear PDEs.

See our Learning Materials forum for tutorials in physics, including EM and plasma physics.
 
That sounds like plenty to be getting on with!

Hopefully if I learn the maths well it'll all stand me in good stead for later on in my course. It all seems pretty transferable.

Thanks for the recommendations!
 

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