Should I take a semester off to

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The discussion centers around the decision to take a semester off to self-study math, despite currently excelling in calculus with a 97% average. The individual aims to strengthen their foundational knowledge in subjects like algebra, trigonometry, and geometry, as well as university physics and possibly discrete math or linear algebra. The goal is to fill knowledge gaps to better prepare for advanced courses in mathematics and physics. However, participants suggest considering alternatives such as utilizing vacation time for self-study or adjusting the course load to allow for more focused math study without taking a full semester off. Concerns are raised about potential financial implications, such as student loan repayments, and the adequacy of the current foundation given the high performance in calculus. Overall, the conversation emphasizes the importance of a solid mathematical foundation while exploring practical ways to achieve it.
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This is a very serious question to me and I would like some advice...
I am thinking of taking an entire semester off (4 months total) to study math on my own.
Currently I am taking calculus 2 averaging 97%, although many people might consider that gratifying, which I'm not saying it isn't, I don't feel like my skills are where I would like them to be. If I decide to take a semester off I will study

Algebra: https://www.amazon.com/dp/1402159064/?tag=pfamazon01-20

Trig: https://www.amazon.com/dp/1418185094/?tag=pfamazon01-20

Calc 1,2 : https://www.amazon.com/dp/0495011665/?tag=pfamazon01-20

Geometry: Never taken a class.

University Physics I: Mechanics

and (IF I have time) discrete math or elementary lineary algebra.

My goal is to gain a solid foundation by filling in any gaps that I have, by doing this I hope to gain a higher understanding of math which will benefit me when I have to take upper level math classes, physics classes and academia in general.

Currently I have not decided on a career path but I know it will fall in the line of mathematics and in my opinion, with a stronger foundation will come a much greater understanding in the material I will face through the upcoming years of my education.
 
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I think your foundations will grow upon taking more advanced classes, like a rigourous Real Analysis class. I don't know if four months of solving integrals will add much to your foundations(?)
But more sensibly, why don't you use your vacation time for that then?
 
I don't know if this applies to you or not but one thing I'd suggest is to make sure you won't have to start paying back student loans if you take a semester off.
 
mr. vodka said:
I think your foundations will grow upon taking more advanced classes, like a rigourous Real Analysis class. I don't know if four months of solving integrals will add much to your foundations(?)
But more sensibly, why don't you use your vacation time for that then?

This is true, but I will be taking other classes during this time.. I might have to take fewer classes over summer so I have more time for math.
 
Maybe you could just take a lighter courseload and use your free time for studying? I think you'd be better off doing things like linear algebra and discrete math in a course setting, and clearly your foundations are at least adequate for your current pursuits if you're getting that high of a grade in calculus.
 
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