I am an undergraduate at a large public research university in the US, finishing my second year. I have done some theorycrafting around my graduation course requirements, and I have realized that it is possible, with some work (and generous CLEP testing), to graduate with a double major, Math BS + Physics BA, by next May. I would be meeting the bare-minimum requirements for both majors (in particular, for math, I will have only taken the 4-semester calculus series, lin. algebra, and the 2-semester abstract algebra series; plus some extraneous ones e.g. game theory).
If I were to stay the extra year, I would comfortably qualify for a double Math BS + Physics BS, and I would have 3-4 more math classes under my belt (perhaps the 2-semester topology series, graph theory, advanced abstract algebra, real analysis, etc). (edit: this option, Physics BS rather than BA, stresses a more thorough physics courseload; 15 hours of upper level physics classes are required for BS over BA)
edit after several answers: Another 4-year option is to get Physics BA + Math BS, leaving my course load open to taking 3-4 math classes per semester. This, hypothetically, could put my post-lin-algebra courses at 2 sem. abstract algebra, 2 sem. topology, 2 sem. intro analysis, graduate level courses of the above, intro complex analysis, intro graph theory, etc
My intent, if I were to graduate next year, is probably to take a year off from academics, and then apply for graduate/PhD programs in math.
Will it be an issue in being considered for these programs, that I have only taken a meager selection of the course offerings in my undergraduate studies? And might it be offset by the fact that I graduated in three years with a double major?