Which should I take: Abstract Algebra vs 4th year lab (non-thesis) course?

In summary, the person is deciding between taking a course in abstract algebra or a specialist physics laboratory for their last semester. They express interest in plasma physics and mention that the lab would be more useful to them in their field. They also mention that the lab requires more time commitment, but they are leaning towards taking it.
  • #1
zheng89120
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0
I am undecided between these two for 2012 spring term (my last semester hopefully)
 
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  • #2
How is anyone supposed to help you with such little information? This is a choice you need to make. Not knowing what the lab is, I'd take abstract algebra, but again, we don't even know what program you're in.
 
  • #3
i'm taking physics honors, with a research interest in plasma physics, thanks
 
  • #4
We have no idea of your other studies and interests and where this fits in, but 10:1 I would take the lab. Because I have never taken a course in abstract algebra, yet I know some and could easily know more if I needed or wanted to. All I need to do is get a book called 'Abstract Algebra' (in my case read the ones I've got :biggrin:). Any time in life. But I will never again after uni be able to follow that lab course, a certain reality from them remain with me when I answer some questions here.

And BTW I think the main thing about abstract algebra is the spirit. It is quite amusing for a bit to prove from minimal postulates that x - x = 0, etc. in some structures, and realize that it is not a necessary assumption, nor perhaps so obvious as it seems, but after a bit I found each algebraic structure was more of much the same thing.
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And then if you have for applications to pursue the most useful ones like groups or vector spaces do they call it abstract algebra any more, don't they just call them group theory or vector spaces?

Edit: while writing you posted and I have no doubts now, the lab.
 
  • #5
hey, in case you need more information, the course descriptions are:

MATH-210*/0.5 Rings and Fields 3L
Integers, polynomials, modular arithmetic, rings, ideals, homomorphisms, quotient rings, division algorithm, greatest common divisors, Euclidean domains, unique factorization, fields, finite fields.

vs.

PHYS-453*/0.5 Specialist Physics Laboratory 6P
To provide students in the SSP degree programs with experience in a range of advanced experiments and techniques. Four experiments are performed selected from, for example, pure and applied nuclear physics, Mössbauer spectroscopy, fluid mechanics, optics, magnetic resonance, quantum effects in the solid state, superconductivity, and superfluidity.

this is a tough choice, because although the lab is more of what a physicist especially in PP, like to be involved in, I'm also inclined to take a lighter course since this is somewhat an elective choice - and the lab course would apparently take 6 hours a weeks of in lab time vs 3 hours for abstract algebra
 
  • #6
zheng89120 said:
I'm also inclined to take a lighter course since this is somewhat an elective choice - and the lab course would apparently take 6 hours a weeks of in lab time vs 3 hours for abstract algebra

Lol at thinking of abstract algebra as a "lighter choice" :biggrin:

Abstract algebra is extremely interesting, but it will perhaps not be as useful to a physicist. I think the lab will be way more useful to you.
 

1. What is the difference between Abstract Algebra and a 4th year lab (non-thesis) course?

Abstract Algebra is a branch of mathematics that studies algebraic structures such as groups, rings, and fields. A 4th year lab (non-thesis) course is typically a hands-on course that focuses on practical skills and techniques in a specific field of study. The main difference between the two is that Abstract Algebra is more theoretical and focuses on abstract concepts, while a 4th year lab course is more applied and focuses on practical applications.

2. Which course is more challenging?

This answer can vary depending on the individual's strengths and interests. However, in general, Abstract Algebra is considered to be more challenging as it requires a strong foundation in mathematics and a high level of abstract thinking. A 4th year lab course may be more challenging for those who struggle with hands-on experiments or practical applications.

3. Which course is more useful for a career in science?

Both courses can be useful for a career in science, but it ultimately depends on the specific field of science you are interested in. Abstract Algebra may be more relevant for careers in theoretical science or research, while a 4th year lab course may be more relevant for careers in applied science or industry.

4. Can I take both courses?

It is possible to take both courses, but it may be difficult to manage the workload and keep up with the different types of coursework. It is important to consider your strengths and interests as well as the requirements of your degree program before deciding to take both courses.

5. Which course would you recommend for someone interested in pursuing a PhD?

If you are interested in pursuing a PhD in a field that requires a strong foundation in mathematics, Abstract Algebra would be a good choice. It will provide you with a solid understanding of abstract concepts and prepare you for more advanced mathematical courses in your PhD program. However, if you are interested in a more applied field, a 4th year lab course may be more beneficial for your PhD studies.

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