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Hello,

My university offers a couple Complex Analysis courses, among them there is one with the following description:

Introduction to complex variables:

"substantial attention to applications in science and engineering. Concepts, calculations, and the ability to apply principles to physical problems are emphasized over proofs, but arguments are rigorous."

(Content) "Differentiation and integration of complex-valued functions of a complex variable, series, mappings, residues, applications. Evaluation of improper real integrals, applications in ideal fluid dynamics. This corresponds to Chapters 1-9 of Churchill & Brown. "

Complex I (Complex):

"This is one of the basic courses for students beginning study towards the Ph.D. degree in mathematics. The approach is theoretical and rigorous and emphasizes abstract concepts and proofs."

(Content)"Review of analysis in

For a little background, these two math classes have the same pre-reqs. They both require Real Analysis, which I have taken. I am majoring in physics and math but I want to go to grad school for physics. I understand that math classes can be different than what a physicist needs. I have been told that complex analysis is a great class to take if possible for physics, however, since I have the choice between these two, I would just like some guidance of which one might be better for me and why.

TLDR: Complex Analysis more applications or more proofs for physics major.

Thank you!

My university offers a couple Complex Analysis courses, among them there is one with the following description:

Introduction to complex variables:

"substantial attention to applications in science and engineering. Concepts, calculations, and the ability to apply principles to physical problems are emphasized over proofs, but arguments are rigorous."

(Content) "Differentiation and integration of complex-valued functions of a complex variable, series, mappings, residues, applications. Evaluation of improper real integrals, applications in ideal fluid dynamics. This corresponds to Chapters 1-9 of Churchill & Brown. "

Complex I (Complex):

"This is one of the basic courses for students beginning study towards the Ph.D. degree in mathematics. The approach is theoretical and rigorous and emphasizes abstract concepts and proofs."

(Content)"Review of analysis in

**R**2 including metric spaces, differentiable maps, Jacobians; analytic functions, Cauchy-Riemann equations, conformal mappings, linear fractional transformations; Cauchy’s theorem, Cauchy integral formula; power series and Laurent expansions, residue theorem and applications, maximum modulus theorem, argument principle; harmonic functions; global properties of analytic functions; analytic continuation; normal families, Riemann mapping theorem. "For a little background, these two math classes have the same pre-reqs. They both require Real Analysis, which I have taken. I am majoring in physics and math but I want to go to grad school for physics. I understand that math classes can be different than what a physicist needs. I have been told that complex analysis is a great class to take if possible for physics, however, since I have the choice between these two, I would just like some guidance of which one might be better for me and why.

TLDR: Complex Analysis more applications or more proofs for physics major.

Thank you!

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