TL;DR: Read the end for quick info! 
Well, here we go:
(this is how I chose my major)
+Medicine
Considering I didn’t really like Chemistry, I gave up medicine. I have no thoughts of suffering through organic and inorganic chemistry :/. Also, it is generally accepted than medical students aren’t good at math and don’t do as much of math. I personally didn’t really like this stereotype because the best academia subject is without a doubt mathematics
+Engineering
Ehh. Because “Physics”. I already went through 3 years of physics (2 years in high school and 1 year in college -honors level-). Although I did score really high and pretty much dominated my physics classes, I just didn’t like physics with its “rounding”. As a person who delights in pure mathematics, the moment a field started rounding and approximating, my brain just couldn’t get it. (this also being the reason I although would love to learn chemistry do want to avoid it in college if possible)
So, how did I figure out my major at the end? Well, this is a bit funny but here’s my story.
I came in to college wanting to do applied mathematics with focus in computer science. All my life, mathematics made sense and well, I was good at it so I thought, “ehh, what the heck!” I had exposure during high school with discrete math and I can tell you, at least for me, I recognized how much of a beauty math was.
For those of you who don’t know what pure math is more like, go watch this beautiful youtube link. Higher math is VERY different from engineering math. Once you hit topics like Modern Algebra, ahh~~
https://www.youtube.com/watch?v=knFlmhgJfRY
The fact that such beautiful facts exist in the mathematical world was for me enough to have passion towards the mathematics.
Now, where did I come up with the “focus in computer science” part in my initial plan? Well, I had self coded since 4th grade and made a website in 6th grade that gathered 800+ members. I just LOVED sitting on a computer and I still do. In fact, my mom told me that after the 100th day, I was able to miraculously walk and shortly after, I pretty much camped around computer like devices ^^
So ya, and add on to the fact that on 8th grade, I learned intro to coding from school and on 12th grade, I learned Discrete Mathematics pretty much set the whole package (and the fact that I from a young age competed in FIRST lego league, etc. etc.)
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Also, robots boi. Robots. Did you know we already made cars (quite long ago now) that works for the BLIND? Dude, the fact that your work could change the rest of the world for the better is like ahh!!! Life is about giving. And to have the potential to contribute something that immense is something you can’t just live without. Live a life. Not a robot with money.
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And so the 1st year of college: Once I did my honors classes like Honors Linear Algebra (very very time consuming) and ODE, I realized something.
Sure Calculus i, ii iii, ODE was fun but this “applied” math just felt systematic. You know, the kind of feeling you get when you code. It’s a enjoyable feeling but it has something missing…
And that’s where my Honors Linear Algebra came in. (For most universities, this type of euphoria will hit at Intro to proof writing). Proofs were like I reached nirvana. I’m not even kidding. Have you ever struggled on a 4 question homework an ENTIRE week just to get the answer 3 hours before it was due? Well, that’s pure math. There had been times where I literally spent days pondering on 1 question and being unable to get the answer (I was rather stubborn with avoiding the usage of Internet because knowing the answer in 5 sec isn’t that uhmm… as gratifying)
And once you get it, pff! It’s the greatest thing ever. If people compare coding to be “feeling like a god”, then I say pure mathematical proofs to be “realizing the inner truth of the world itself”
Now, from that journey, I gave up my “applied math” and well, it now became pure math and comp sci.
Thanks to my professor from first year though, I had an extremely rigorous training in proofs. I had a quality teaching that even most real analysis textbooks couldn’t come near difficulty (and it was just simple linear algebra!).
I recognized that I now had the capacity to self teach mathematics. (Once you hit a certain point in which you are confident of self studying, I think then it is better to taste the other favors of the academia as you only get 4 years)
So… I dropped the pure math (well, at least in my diploma. You don’t need a paper in which you can self study and proofs are pretty self studying by nature ^^ and technically, I also self studied Modern Algebra and Analysis so I kinda already have the knowledge of a bachelor’s in math -.-)
That leaves me with “computer science”. Frankly though, if it wasn’t for the job prospects (secure for at least 8 years -I usually expect the worst so after that, I’m guessing another dotcom bubble-), I might have just kept going with pure math.
It’s just that… pure math doesn’t have any direct jobs. You study pure math for its own sake. It’s the applied math that has jobs that pay well (and arguably better than computer science in certain fields).
But that doesn’t worry me much anyways as for me, I always saw computer science as a branch of once pure mathematics. Combinatorics, algorithms, for those who like pure math, it is an intriguing field
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Plus, unlike pure math, I can actually contribute something to the world! Most people go for comp sci for ideal jobs like facebook and google but I personally think that’s a pathetic “dream”. I rather get paid less and help people like the blind using my computer skills than be in Silicon Valley living as an upper middle class.
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Anyways, that’s how my adventure came to comp sci.
I forgot to mention a bit more: I also chose comp sci for its job stability and to earn back the money spent on college. I attend arguably the most expensive university (Columbia Uni in City of NY) and as comp sci has a job security for 8 years, I figure I could make worth of my diploma (although I am trying my best to go to grad school).
So…
+Computer Science
It’s very mathematical. If you like pure math and proofs, it really is beautiful. Plus, even programming is like proofs. Very very logical. It doesnt leave the same level of enlightening feeling of the more rigorous pure mathematics in undergrad but still, it’s the closest I see an applied math behaving like a pure mathematics.
Don’t confuse computer science for coding. Computer science is really more of pure math + a sip of applied math + something else. Coding is just a tool to do comp sci.
So ya, here is how I would say:
+Engineering: You like physics more than just math
+Computer Science: You like the more pure math wayyyy more than physics
+Medical field: You like biology or chemistry. (physics too but ehh,)
That said, ur university should have 1 semester that touches lightly on the engineering and comp sci. You should be able to figure out which you “dislike” at least. Don’t fret. Most engineers I met had no idea what to major in in engineering or comp sci and just somehow majored in it (lol)
