Suppose a hypothetical physics undergraduate students that wantstudent wants to change their major become Pureto pure/Applied Mathematicsapplied mathematics in graduate school.
The studentsstudent has already taken few courses in Mathematicsmathematics (suppose Introduction to Complex Analysis, Introduction to Real Analysis, Probability Theory, Advanced Partial Differential Equations) and is doing fine but no A's grades, only B's and B-'s grades, for the mathematics courses and at overall (for every physics and mathematics courses that already taken), the students havestudent has upper second class grade (3.3-3.6 grades from 4).
How does the graduate school see this studentsstudent, given the studentsstudent really show theshows interest to Mathematicsin mathematics and havehas at least one publication or attend inattended a Purepure/Applied Mathematicsapplied mathematics conference once as presenter?