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## Main Question or Discussion Point

Hi folks,

I am trying to decide which math topics to study next, I am a bit indecisive at the moment. I just finished my second year in my physics degree and have taken calculus I-IV, linear algebra I and II, and differential equations. On my own I pick up Boas' book every weekend and study or review a few topics, so I have a spattering of knowledge on things like PDE's and Fourier series.

Because of the Covid situation, and me transferring institutions, I am not taking physics courses this year. I plan to load up on math courses, and I'm trying to determine which will be most applicable to physics.

I am for sure taking:

Intro to Partial Differential Equations

Mathematical Methods: Mathematical analysis of linear systems. Fourier and Laplace transforms, applications and numerical methods. Functions of a complex variable and applications.

Numerical Analysis I and II

Complex Analysis I

I have the option to take three of following courses this year, and more next year if I wish.

Discrete Math

Tranformation Geometry

Differential Geometry

Optimization

Linear Spaces with Applications

Wavelets, Signals, and Image Processing

Analysis I and II

Algebra I and II

Calculus on Manifolds (requires Analysis I and II)

My hope is to do more computational or theoretical physics, so I am not sure if I should focus on the application courses, or if I should start taking more pure math and eventually learn things like Lie groups and functional analysis, which my school offers in later years. Any thoughts?

I am trying to decide which math topics to study next, I am a bit indecisive at the moment. I just finished my second year in my physics degree and have taken calculus I-IV, linear algebra I and II, and differential equations. On my own I pick up Boas' book every weekend and study or review a few topics, so I have a spattering of knowledge on things like PDE's and Fourier series.

Because of the Covid situation, and me transferring institutions, I am not taking physics courses this year. I plan to load up on math courses, and I'm trying to determine which will be most applicable to physics.

I am for sure taking:

Intro to Partial Differential Equations

Mathematical Methods: Mathematical analysis of linear systems. Fourier and Laplace transforms, applications and numerical methods. Functions of a complex variable and applications.

Numerical Analysis I and II

Complex Analysis I

I have the option to take three of following courses this year, and more next year if I wish.

Discrete Math

Tranformation Geometry

Differential Geometry

Optimization

Linear Spaces with Applications

Wavelets, Signals, and Image Processing

Analysis I and II

Algebra I and II

Calculus on Manifolds (requires Analysis I and II)

My hope is to do more computational or theoretical physics, so I am not sure if I should focus on the application courses, or if I should start taking more pure math and eventually learn things like Lie groups and functional analysis, which my school offers in later years. Any thoughts?