Lackluster Grade in Real Analysis; Next Course to Take?

[ah25]

I'd say Complex Analysis is your best bet as long as it's a "real" (oops) complex variables class, not some easy engineering class where you sit around applying de Moivre's Theorem. Abstract Algebra could also be good.

 

 

Yes, it looks like a "real" complex analysis course, not engineering-focused! Real Analysis I is its pre-req. 

 

Here's my contrarian vote for the advanced linear algebra course, assuming that's the theoretical and proof-based version of the more mechanical lower-level course. Special matrix decompositions (SVD, QR), eigenvalues and eigenvectors, orthogonality, changing bases, projections, block matrix properties, etc. are sooooo important and useful in statistics. I did well in the lower-level linear algebra class but didn't feel like I really understood a lot of this until I took the proof-based upper-level version.

 

My first course was proof-based, actually! Barely any calculations at all.