What are some good physics courses for math majors?

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SUMMARY

This discussion focuses on recommended physics courses for math majors, emphasizing the integration of advanced mathematical concepts. Key courses mentioned include Physics I & II, Applied Physics, and topics in Analytical Mechanics, specifically Euler, Jacobi, and Hamiltonian mechanics. The discussion highlights the importance of understanding Lagrangian mechanics and its mathematical applications in classical mechanics. These courses provide a rich mathematical framework suitable for math majors seeking to deepen their knowledge in physics.

PREREQUISITES
  • Understanding of Partial Differential Equations (PDEs)
  • Familiarity with Classical Mechanics concepts
  • Knowledge of Analytical Mechanics
  • Basic principles of Astrophysics and Cosmology
NEXT STEPS
  • Explore Lagrangian Mechanics in depth
  • Study Hamiltonian Mechanics and its applications
  • Research advanced topics in Analytical Mechanics
  • Investigate the mathematical foundations of Astrophysics
USEFUL FOR

Math majors, physics students, and educators seeking to enhance their understanding of the mathematical aspects of physics courses.

Chris11
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Hey, I'm a math major, and I want to take some physics courses. What are some physical topics that have a lot of really interesting math, be it PDEs, analysis, eccetera?
 
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I'm required by my university to take Physics I & II, but I've also taken a class on introductory astrophysics/cosmology. It was very interesting, though not only because of the math. Years ago I took a class called Applied Physics which was pretty good. It covered the mathematics of things in the natural world (trajectories, collisions etc..) and held my attention quite well.
 
Analytical Mechanics.

Or in other words the classical mechanics after Newton's formalism, i.e Euler,Jacobi,Hamilton's and co formalism.

Other keywords, lagrangian mechanics and hamiltonian mechanics.
 

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