Need help deciding to stay as a math major

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Discussion Overview

The discussion revolves around a freshman college student's experience with calculus courses and their contemplation of whether to continue as a math major after a disappointing final exam in Calc3. The scope includes personal experiences, academic performance, and advice regarding course retakes and future studies in mathematics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • The original poster (OP) expresses doubt about continuing as a math major after failing the final exam in Calc3, despite previously performing well in the course.
  • Some participants suggest retaking the course, noting that others in the class were also retaking it.
  • It is mentioned that one failed course may not significantly impact graduate school applications if the course is retaken successfully and overall GPA is maintained.
  • One participant questions the OP's understanding of integration by parts, implying that the reason for the exam failure may be linked to foundational knowledge.
  • Another participant argues that Calc3 may not be representative of the overall math curriculum and suggests that subsequent courses, particularly in pure mathematics, could be more engaging and rewarding.
  • A recommendation is made to try linear algebra before making a final decision about abandoning the math major.

Areas of Agreement / Disagreement

Participants generally agree that failing one course does not necessitate giving up on a math major, but there is disagreement on the implications of the failure and the OP's preparedness for future courses.

Contextual Notes

The discussion highlights the emotional and psychological aspects of academic performance, particularly the impact of exam anxiety. There are varying opinions on the importance of foundational knowledge versus the overall experience in math courses.

Who May Find This Useful

Students considering a major in mathematics, those experiencing academic setbacks, and individuals interested in the transition from calculus to higher-level mathematics courses.

CardShark28
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Well I am a freshman college student and I took Calc2 in the fall and got an A in the course. I then took Calc3 this Spring. I was doing fairly well in the course. The both midterms I got the third highest grade in the class of thirty something students (and the class had a lot of students who were retaking the course). So I took my final exam which was worth 70% of my final course grade. I was exceptionally nervous about the test and when I got the exam I forgot almost everything I learned the entire semester and everything I had studied. I had a hard time doing any of the problems. I ended up failing the final exam, and I received a D in the course (which did wonders to my GPA).
I feel like I should just give up my hopes on being a Math major? I know that my chances of attending grad school are gone, and that maybe I am not intelligent to pursue college Math any further.
I just need some advice on making a decision before I sign up for courses next semester.
 
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Just retake the course. You said others were doing it.
 
One failed course won't hurt your grad school application as long as you retake the course and do well. They mostly care about overal GPA and in particular you're last two years of school.

In regards to whether you should switch, it seems like you were doing well in the beginning part of the course and just freaked out on the exam. These things happen and can be fixed.

Sometimes people fail, and you shouldn't give up just because you failed one course.
 
Depends why you bombed it. Do you know the mnemonic for integrating by parts, or do you understand integration by parts?
 
Truth be told, calc 3 isn't very representative of math courses overall. It is full of nasty, grungy calculations that many people do not enjoy (even in many cases the teaching assistants assigned to the course!)

In my opinion, once you are over the calc 3 hurdle, the rest of the undergraduate math curriculum is a lot more interesting.

Charles Pugh, professor of mathematics at UC Berkeley, may well have had calc 3 in mind when he wrote these words, which appear on the back cover of his "Real Mathematical Analysis":

"Was plane geometry your favorite math course in high school? Did you like proving theorems? Are you sick of memorizing integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is pure mathematics, and it is sure to appeal to the budding pure mathematician."

The same can well be said about much of the math curriculum once you are past the calculus sequence. I would highly recommend against deciding to give up on math until you take at least one "pure" math course. Try linear algebra.
 

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