Discrete vs. Applied Mathematics

[woodne]

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?

 

[Monocles]

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).

 

[Mene]

I have a deep appreciation for the field of mathematics and its applications in various scientific disciplines. In regards to your question about the difference between discrete and applied mathematics, let me provide some clarity.

Discrete mathematics deals with objects that can only take on distinct, separate values. This includes topics such as graph theory, combinatorics, and logic. On the other hand, applied mathematics is focused on using mathematical principles to solve real-world problems and make predictions. This can include topics such as calculus, differential equations, and numerical analysis.

Both discrete and applied mathematics are important and have their own unique applications. Discrete mathematics is essential in the fields of computer science, information theory, and cryptography, while applied mathematics is crucial in fields such as physics, engineering, and economics.

As for your interest in double majoring in math and physics, I believe it is a great idea. These two fields have a strong overlap and complement each other well. Many scientific breakthroughs and advancements have been made by individuals who have a strong understanding of both math and physics.

I would also encourage you to explore the various research opportunities available in both mathematics and physics during your time at Georgia Tech. This will not only enhance your academic experience but also provide valuable hands-on experience in applying mathematical principles to real-world problems.

In conclusion, both discrete and applied mathematics have their own unique contributions to the scientific community, and a double major in math and physics can lead to exciting and rewarding opportunities in the future. I wish you all the best in your academic pursuits at Georgia Tech.