I'm currently a sophomore majoring in pure math with the hopes of going to graduate school to study applied math, specifically numerical analysis, machine learning, statistics. I have A's in my courses such as Linear Algebra, Discrete Math, Calculus, etc. Real Analysis is the first course that is giving me lots of trouble, and I think it is because I was not well-versed in writing proofs coming into the course. I received a B-/C+ on the first exam, and expect to receive a similar grade in the overall course.
How heavily will my grade in this course affect my chances of getting into a good graduate school for applied math (numerical analysis) if I receive A's/A-'s in my all of my progamming (up to an Advanced Algorihms course) and applied classes (PDE, Numerical, Complex Variables)?