Discrete vs. Applied Mathematics

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SUMMARY

The discussion clarifies the distinctions between Discrete Mathematics and Applied Mathematics, particularly in the context of Georgia Tech's curriculum. Discrete Mathematics integrates computer science concepts, focusing on algorithms, combinatorics, and graph theory, while Applied Mathematics emphasizes Analysis with fewer required courses and only one discrete math class. The conversation also highlights the popularity of double majoring in Applied Math and Physics, noting that it requires an additional 39 credit hours, making it a feasible option for students.

PREREQUISITES
  • Understanding of Discrete Mathematics concepts such as algorithms and graph theory
  • Familiarity with Applied Mathematics, particularly Analysis
  • Knowledge of Georgia Tech's curriculum structure
  • Basic awareness of double majoring implications in higher education
NEXT STEPS
  • Research Georgia Tech's Discrete Mathematics curriculum and course offerings
  • Explore the role of Applied Mathematics in scientific fields, particularly Physics
  • Investigate career opportunities for Discrete Mathematics graduates, such as roles at the NSA
  • Learn about the process and requirements for double majoring at Georgia Tech
USEFUL FOR

Students considering a major in mathematics, particularly those at Georgia Tech, as well as individuals interested in the intersection of mathematics and computer science or physics.

woodne
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So, I am interested in majoring in math at Georgia Tech starting this summer, and was wondering what the difference between discrete and applied mathematics is. Any information is greatly appreciated.

Also, what does anyone think about double majoring in math and physics?
 
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I go to Georgia Tech and know several people in both majors -

Discrete Math is essentially a combination of computer science and math. Discrete Math majors take classes on things like algorithms, combinatorics, graph theory, etc., along with a number of computer science courses. I know a Discrete Math major who just graduated this semester and is now working for the NSA in Maryland. Also, everyone I know who is a discrete math major (not many admittedly, but there aren't very many of them) couldn't decide whether to major in math or computer science and so ended up at the happy middle ground.

Applied Math doesn't have as many required classes, so you have more freedom on what to take. There is a much greater focus on Analysis classes than DM (4 classes compared to 1), but less focus on discrete math (Applied Combinatorics being the only required discrete math class).

I am very much considering adding Applied Math as a second major (I'm a Physics major right now working towards a Math minor), and its probably the most common double major combination at GT (I have no data to support this, just anecdotal evidence). They work together very well, so even though a double major requires at minimum an extra 36 hours, Applied Math only adds another 39 hours of required classes on top of what a Physics major needs to take, so you don't need to stick around for 170 credit hours or anything like that (since 3 of those hours can just be a technical elective in the Physics major).
 

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