Optics vs. Number Theory: Choosing My Classes for the Upcoming Semester

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SUMMARY

The discussion centers on the choice between Optics and Number Theory for upcoming semester classes. Participants highlight that Optics is generally more engaging, especially if it includes lab work, while introductory Number Theory is perceived as less interesting. Number Theory has applications in cryptography, particularly for careers in organizations like the NSA, but is considered more appealing at the graduate level. Ultimately, Optics is recommended for its practical applications and hands-on experiences.

PREREQUISITES
  • Basic understanding of optics principles and laboratory techniques
  • Familiarity with introductory number theory concepts such as divisibility and linear congruences
  • Knowledge of cryptography fundamentals and its relevance to number theory
  • Experience with algebraic structures, particularly groups, as they relate to number theory
NEXT STEPS
  • Research lab components in Optics courses at your institution
  • Explore advanced Number Theory topics and their applications in cryptography
  • Read Burton's textbook on Number Theory for a deeper understanding
  • Investigate career opportunities in optics and cryptography
USEFUL FOR

Students deciding between Optics and Number Theory, educators advising on course selections, and individuals interested in the practical applications of physics and mathematics in their careers.

troytroy
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I am about to choose my classes for my up and coming semester and was debating between taking Optics or Number Theory. I know they are very different courses but for those of you who have had one or both which one would you say "in general" is the more interesting course?
 
Physics news on Phys.org
optics: useful in finding a job,

number theory: nice, but no cigar...
 
Number theory is used very much in cryptography, some people specialize in it then get hired by the NSA. I was just wondering on which seems more interesting not so much which one is the best for career building.
 
personally, i didn't like number theory so much. but then again, i only took an introductory course in it which covered topics such as divisibility, linear congruences, and primitive roots. if you've taken an algebra course, there's going to be quite a bit of overlap in the beginning.

have you had any exposure to these topics? maybe try looking into some introductory optics or number theory and see which one you like better.
 
Hey troytroy.

It's hard to say what is interesting for you, but if you had to choose, I'd think of number theory as the building block of understand whole numbers (and analogues to abstract object such as groups) while optics is the building block for how light (and subsequently how other physical phenomena) operate.

One deals with the observable tangible realm and another deals with the realm of the intangible. Which one do you prefer?
 
If you have to choose between the two then pick optics, you can learn elementary number theory by your own with ease (I learned it by my own without any course, I used Burton's textbook).
 
troytroy said:
I am about to choose my classes for my up and coming semester and was debating between taking Optics or Number Theory. I know they are very different courses but for those of you who have had one or both which one would you say "in general" is the more interesting course?

No second thought:definetely Optics if lab work is part of the course!If there is no lab,but only theory(ZZZzzz) and drawings in the blackboard toss a coin: heads=optics, tails=Number theory :D
 
Number theory is an extremely fascinating and beautiful subject, but only at the graduate level, introductory number theory classes suck and should be abolished for fear of turning people off to the subject, take optics.
 

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