Overwhelmed Student Struggling to Pass Quantum Mechanics

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Discussion Overview

The discussion revolves around a student's struggles in a Quantum Mechanics course, particularly focusing on the challenges posed by the mathematical requirements of the subject. Participants share their experiences, offer advice, and discuss the implications of the student's situation on their academic trajectory.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants suggest that the lack of a Linear Algebra background may significantly hinder understanding of Quantum Mechanics, which relies heavily on concepts from linear algebra and functional analysis.
  • One participant shares a personal experience of struggling in a similar course due to fast-paced teaching and unclear communication, expressing feelings of helplessness.
  • Another participant advises considering dropping the course if possible, or focusing on damage control by aiming for the best possible grade under the circumstances.
  • There is a discussion about the importance of not dwelling on past performance and instead concentrating on making the best of the current situation.
  • A later reply mentions the outcome of the student's efforts, indicating they achieved a C+, which was viewed as a relief compared to the potential for a lower grade.

Areas of Agreement / Disagreement

Participants generally agree that a lack of Linear Algebra knowledge is a significant factor in the student's difficulties. However, there are differing opinions on whether to continue with the course or drop it, and the discussion remains unresolved regarding the best course of action for the student.

Contextual Notes

Participants express varying levels of familiarity with Quantum Mechanics and its mathematical foundations, indicating that assumptions about prior knowledge may differ. The discussion does not resolve the specific mathematical challenges faced by the student.

Who May Find This Useful

This discussion may be useful for students facing similar challenges in Quantum Mechanics or other advanced mathematics-heavy courses, as well as those seeking advice on managing academic stress and course selection.

Fjolvar
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Hello.. I'm taking my first Quantum Mechanics class and I've already failed my first exam (20%) although the class average was about 40%, I feel that I may fail this semester which would set my graduation date back a year, ruin my gpa, and my chances of getting into a grad school I've picked out. I really enjoy the theory behind Quantum but I am lost by some of the math. The professor will go through the material very fast and do math techniques I cannot follow. I have another exam in about 10 days, but I feel like that won't be enough time to learn the material. I feel overwhelmed and I'm not really sure where to start since there is so much to learn. I did really well in my math courses receiving A's in my Calc classes and differential equations but I never took a Linear Algebra course specifically which may be part of the reason. Any words of advice would be greatly appreciated.. Thanks.
 
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Fjolvar said:
I never took a Linear Algebra course

I don't know much about QM, but I think it uses linear algebra and functional analysis very intensively. So the fact that you never took linear algebra, may account for the fact that you're not succeeding.

In my opinion, you got two options:
- continue with QM, and study hard to learn the linear algebra and functional analysis that you need. This will probably be quite heavy.
- drop the course, take the necessary linear algebra and functional analysis courses and take the course again next year. If you do well in the course next year, then I'm sure the grad schools will understand and they won't make a very big deal about it. But you will be losing a year...
 
I was in the exact same position. The prof was this German guy with a really thick accent. He went through the math at light speed, assigned no textbook, and had illegible writing. I went into a 45% final with an 83% and came out with a 59% in the course, my lowest mark ever, by far. I think I got 6% on the final exam...

I felt helpless. It seemed that no matter how much time I wanted to spend learning concepts, that I was ill equipped. I have no real advice for you, but I've been there done that.
 
Fjolvar said:
Hello.. I'm taking my first Quantum Mechanics class and I've already failed my first exam (20%) although the class average was about 40%, I feel that I may fail this semester which would set my graduation date back a year, ruin my gpa, and my chances of getting into a grad school I've picked out.

Two words. "Damage control."

If you can drop the class now, consider doing it.

If you can't then do as well as you can, and don't dwell on the past. If it looks like you are going to fail the class, then try for a D. If it looks like you are going to get a D, then put your effort into getting a C. The important thing is that if you mess up, you accept that you've messed up, and try to do the best with what you have. The problem is that if you dwell on how badly you did, then its going to make your performance worse than if you just let it slide and try to do the best with what you have.

I feel overwhelmed and I'm not really sure where to start since there is so much to learn. I did really well in my math courses receiving A's in my Calc classes and differential equations but I never took a Linear Algebra course specifically which may be part of the reason. Any words of advice would be greatly appreciated.. Thanks.

Calm down, and get really familiar with the drop deadlines or rules on taking courses pass-fail. If you can drop the course or take the course pass-fail, consider doing it. If you can't drop the course, then absorb as much material as you can, and make the best of the situation, and if you fail the course, you'll should do better the next time.
 
Fjolvar said:
but I never took a Linear Algebra course.

That's where your problem lies! Quantum mechanics relies on the use of eigenspace and eigenfunctions which is taught in Linear Algebra. While some calculus is used in QM, Linear Algebra pops up more often.
 
Just wanted to follow up with this.. I ended up with a C+, my only C grade :( But I am relieved I didn't end up with a D or worse.
 
Congratulations! Could've been worse - could've been a C- :) I think you did very well, all things considered. It'd be like me taking my diff EQ's class without knowing how to calculate sequences and series.
 

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