Should I take a semester off to

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Discussion Overview

The discussion revolves around the consideration of taking a semester off to study mathematics independently. Participants explore the implications of such a decision on foundational knowledge in math and its potential impact on future academic pursuits.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses a desire to take a semester off to strengthen their math foundation, citing current success in calculus but feeling unprepared for future advanced classes.
  • Another participant suggests that foundational knowledge may be better developed through advanced classes, such as Real Analysis, rather than self-study during a semester off.
  • A different participant raises a practical concern regarding potential student loan repayments that may be triggered by taking a semester off.
  • One participant reiterates the idea of using vacation time for self-study instead of taking a semester off, questioning the effectiveness of four months focused solely on solving integrals.
  • Another participant proposes that a lighter course load might allow for more time to study math while still progressing through other classes, suggesting that the original poster's current performance indicates adequate foundational knowledge.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of taking a semester off versus continuing with a lighter course load. There is no consensus on the best approach to strengthening foundational math skills.

Contextual Notes

Participants mention various factors influencing the decision, including the potential impact on student loans and the effectiveness of self-study versus formal coursework. The discussion reflects a range of opinions on the best methods for building a solid mathematical foundation.

Miike012
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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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