Thanks for all the suggestions. I will consider waiting a year. I will probably get clinical experience and work on my masters in mathematics because I do not like wasting time especially if I don't get in. Also, if I do apply in 2020 I would continue to get clinical experience throughout the year and apply the next cycle also if I don't get in. Of course, this is all contingent on passing the mcat. In addition for the class I am talking about, at my school we take a logic and proof introductory class in order to prepare for real analysis, which we take as a junior. I did extremely well in this class. For my real analysis class I don't have any problems understanding the concepts and given time I usually can solve the problems. I study hours on end and do numerous problems for this class. However, during tests I struggle. Also, my tests are only 3 to 4 questions so missing 1 or 2 kills your grade. I have done excellent on homework and practice problems though. I have never had any issues with problem solving. My other math classes are problem solving based, and I usually outscore my classmates in these classes. My linear algebra class also had proofs and I had no issue. I have noticed my problem solving skills have greatly improved throughout college due to these math classes, my computer science class, my calculus based physics classes, and my chemistry classes. Honestly, my biology classes were very memorization based so they didn't really help me to improve my problem solving. However, I am just struggling in this specific class. This class will be my first true bad grade. Up til then I have excelled in all my other classes, even getting an A+ in many. I feel especially good since I am a female excelling at these classes, since it is not typical to see many female math students. In my current degree program, there is only 1 other female I know of and have had classes with. My math professors and advisors have even told me it is very unusual to see math students pursue medical school. Even if I don't get in, I feel accomplished. My real analysis professor said proving takes experience and I have only really had 1 semester so not much experience. I posted here because I wanted to know my chances even if I get a C in the class. All my other classes I have A's in and I still have 1 semester to go until I graduate. I just wanted an opinion. I wanted to start doing more shadowing and doing clinical work earlier this year but it has not been a good year with my family health wise. In addition, I would like to note that math classes are very strenuous and time consuming since you have to sit and do practice problems for hours. I also didn't mention this but I worked in the lab throughout the 2 summers and the school year for the two years about 20 hours a week along with taking work (writing, reviewing, revising, rewriting papers, etc.) home from lab. My professor says it is unusual for an undergraduate to publish 4 papers during research. I work extremely hard at everything I do and I stay very busy. Even if I do get a C in this math class, I will learn from it and have still learned a lot in the class regardless. I prefer to apply concepts and be more active in my job hence why I chose applied math over pure. I like to pursue anything I am interested in. For hobbies, I crochet when I have free time. I also like to read articles online and bake. I don't know if this information helps any but thanks for taking your time to answer and discuss with me. I really appreciate being able to talk to others about my experiences and get other perspectives.
Again, I would not particularly be worried about the C in Real Analysis as you are in the Applied area rather than Pure except to note that future classes in that area are at the same level and that class is historically the weedout (particularly if you are using Baby Rubin with someone who does not know how to teach it in a modern sense). I also would contrast this with your symbolic logic class, if you did fine there, I doubt it is a matter of your innate problem solving ability and more an issue of the presentation of material (unlike the infamous Harvard class, Real Analysis just does not teach itself for even good mathematicians). That said, despite the poor grade, I really would try to learn measure theory even later if possible as it is foundational for topics beyond Analysis.
The cautionary message I have for anyone electing for postgraduate work and then intending on medical school is why do it, you must have a positive and explicit reason for doing so? For SME's which others (and I) have the understanding of that being a trial basis for medical school admissions to that university, then sure. If you are going to do the MS in Mathematics, does it do anything for you: job, improves your chances at admission, etc. You should not pursue a postgraduate degree in general unless you know what to do with it, but if your heart is set on medicine, then you might want to think about what you want to risk in order to possibly gain it.
A bit off-topic:
A suggestion though if you do an MS in mathematics. I think that Pure topics are probably not to your strength. Of the applied, possible consider taking in your senior year the following unless you have already decided on what topic to do your MS in (this is not in order, just far different topics):
1. Complex Analysis (I realize that you just had Real Analysis and did poorly by your standard, this is more to open possible doors). This is the most general route, and is advised for someone interesting in doing a PhD in Math directly someday.
2. Mathematical Data Theory/Operations Research (sometimes offered in Math, sometimes offer in Comp Science) - A class that deals with linear programming, optimization under multiple adverse conditions (integer, stochastic, constrained). This goes down the CompSci, Actuarial, and Ops Research routes.
3. Stochastic calculus (need a term of statistics as a prerequisite): Basically doing calculus with standard errors and relearning DiffEq under those circumstances. This goes down the Finance and Actuarial routes.
I personally did Topic II as it was necessary for Advanced Pharmacokinetics, but any one the three opens certain doors in graduate mathematics that are both interesting and rewarding topics (and lead to definite jobs). But based on what you feel are your favorite topics and are willing to work at (not necessarily the ones that you did well in), that should factor into choosing one of the different avenues in Applied. I did not bring up Statistics or Computer Science, though they are also possible majors for graduate work.[/quote]
