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I am in the second year of a Bachelors of Science program in business administration and economics. My program is in English and I am studying in Sweden. I attended elementary school in Romania and high school, with major in economics and business administration, in Germany. In high school I selected computer science as a subject, which was optional, because I was interested in the world of computer science and its mysteries, especially that of programming. The programming language taught in the course, in high school, was visual basic. Currently I know C++, HTML, CSS and PHP, and some JQuery. I have been programming for about four years now. The book I used was C++ Primer by Stanley B. Lippman for most of my C++ knowledge and internet resources, and for the web development, HTML, CSS, and PHP, I mainly used w3schools.com and other internet resources, and of course practice.

The mathematics at high school included some linear algebra and calculus, both differentiation and integration, but at a computational level. After high school I was unsure which academic path I should follow, which led to a one year break between high school and university. During this year I attended as a guest, lectures in computer science and mathematics (mainly propositional logic, set theory and proofs) in Germany. Then I decided to follow a business administration and economics path as my Bachelor of Science and go back to pure mathematics in my Masters program. In my free time I work through mathematical books. I worked through Precalculus by Jeff Zeager and Carl Stitz, How to prove it: A structured approach by Daniel J. Velleman, Book of proof by Richard Hammack and I am currently going through Calculus by Michael Spivak, where I recently finished the Differentiation part of the book. And as from my experience so far, Spivak's book will stay with me for some more months to come before I finish it.

I will graduate with a Bachelor of Science degree in business administration and economics and after that I want to pursue a Masters degree in pure mathematics with major in computer science and physics, preferably. The only course which is of mathematical nature in my program, is "Business Statistics", which essentially is a course in statistics, but with business applications and exercises.

Long story short:

What are the requirements for a Masters program in pure mathematics, with preferable computer science and physics majors? Is it realistic to be accepted in a Masters program with a Bachelor of Science in economics and business administration? I already have knowledge from mathematics courses, which Bachelor of Science students in mathematics take, but I do not have proof for this knowledge, in form of a degree or courses passed. Will I have to somehow prove this knowledge when applying for a masters program? If yes, how? I want to avoid after the degree in business administration and economics to enroll into a Bachelor of Science in mathematics, because that would be redundant for me, if I already have the knowledge but it is not recognized, because it is not in form of a formal document.

PS:

I will graduate in 2018. My goals are to finish Calculus by Michael Spivak, start and finish Calculus Volume 2 by Tom Apostol, Principles of Mathematical Analysis by Walter Rudin and a book in linear algebra.

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closed as off-topic by user296602, Gabriel Romon, Daniel W. Farlow, Daniel Fischer Aug 28 '16 at 18:54

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – Community, Gabriel Romon, Daniel W. Farlow, Daniel Fischer
If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ Short answer shorter: ask the graduate school you're interested in what are the requirements. Most probably economics + BA is way too little to get accepted. $\endgroup$ – DonAntonio Aug 28 '16 at 15:32
  • $\begingroup$ @DonAntonio If I interpret it correctly, a human is bound to the path he/she chose after high school, even though his/her knowledge is broader and covers a greater horizon? $\endgroup$ – user364451 Aug 28 '16 at 15:39
  • $\begingroup$ My two cents regarding your comment: If you want a masters in math, go get a BS or a BA in math and commit to it. Why are you getting a degree in business administration with essentially no mathematical component to the formal degree if your ultimate goal is an MS in math? $\endgroup$ – user296602 Aug 28 '16 at 15:41
  • $\begingroup$ @T.Bongers My ultimate goal is a PhD in mathematics. To answer your question: Because I already majored in economics and business administration in high school, and I wanted to strengthen that basics with a BS. Because the knowledge in economics and business administration is applicable in every day life. You are part of the economy and knowing how businesses' work is a valuable skill one should know. Mathematics on the other hand is fundamental in every science, it occurs naturally in the world around us, and is a perfect science for postgraduate studies and research. $\endgroup$ – user364451 Aug 28 '16 at 15:49
  • $\begingroup$ @Simpl0s I've no idea what you meant in your answer to me. I know that economy + BA is not enough, in general, to know mathematics at undergraduate school level, not to mention at graduate school level. Now, if you already havea bachelor in whatever and if you can prove you've the knowledge required to go to grad. school, then you have some chance...but I doubt it. Most serious schools have more or less stiff parameters for their students, so you'll probably have to take a BSc in mathematics. $\endgroup$ – DonAntonio Aug 28 '16 at 16:50
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I would propose that while carrying on your studies for Bachelors of Science program in business administration and economics you keep studying math courses with a focus and orientation towards a high score in the GRE subject test in Mathematics. That might provide a good argument -for postgraduate applications- against the lack of a formal degree in maths or a math related science. But again, you have to contact postgraduate departments of interest to you and directly ask their opinion, on whether a high score in GRE subject test in Mathematics will be enough and what more they might ask from you.

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  • $\begingroup$ Thank you for your advice and your time! I will contact the departments of interest and look into the GRE subject test. I have not heard of this test before and I am grateful that you mentioned it! $\endgroup$ – user364451 Aug 28 '16 at 17:10