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.