Question about pursuing mathematics

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The discussion centers on a student at the University of Pennsylvania contemplating a shift from a business/CS major to a liberal arts program focused on math. The student expresses a passion for math and a desire to pursue it at a higher level but is concerned about their ability to succeed in advanced mathematics. They are currently taking Calculus 3 and find it challenging yet manageable, leading to questions about their reasoning capacity for more complex math. Responses suggest that it's normal to take time to grasp new material and recommend continuing with business studies while also taking additional math courses like differential equations and linear algebra. There is a cautionary note that upper-level math courses can be significantly more challenging than introductory classes, and if the student struggles with these, it may be wise to consider a minor in math instead of a major. Overall, the consensus encourages the student to explore their passion for math while being mindful of the challenges ahead.
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I am currently a business/CS major at the University of Pennsylvania, and am trying to make the (very painful) switch out of the business school and into the liberal arts program to study math (I know, I know...UPenn is reknowned for math, but whatever, good enough for me).

Here's my question...I'm taking Calc 3 (Green's Theorem, Stoke's Theorem, basic vector calculus and so on) and I find it to be, not difficult, per se, but still you know, something that takes learning.

Math has always come easily to me, and I enjoy the subject with the greatest of passions, and have always wanted to try and learn as much of it as possible at the highest level possible, but how do I gauge if I'm smart enough, that is, have the raw reasoning capacity to actually succeed at a higher level in math?

This may sound absurd, but I guess I am afraid of dropping business, which from UPenn is a guaranteed well paying job, for Math if at some point I'm going to hit a wall and not be able to pursue my dream.

Your thoughts? Is it bad if, when presented with new material, even something as low as calc 3, it takes a little time to get, work out some problems to understand, etc, without having instant intuition?
 
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It is hard to tell how far you can go in math if you have only had calc 3. You should continue your business stuff and take a math class along with it. So if you are in calc 3 now, take differential equations and linear algebra next and if you still like math go higher. Just a warning though calc 1,2,3, diff eq's and linear are easy math classes and don't require much out side of the classroom time compared to the upper level math classes that are required for a degree in math like analysis, abstract algebra and topology. So if you find yourself struggling in diff eq's and linear you may want to save yourself the grief and just get a minor in math.
 
you don't have a chance unless you take one

i say go for it
 
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