6 Things I Wish I Knew Before Taking Real Analysis (Math Major)

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.
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What I Wish I knew before becoming a Math Major!

BriTheMathGuy
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Freshman Math Major: Calculus is cool

Real Analysis: I’m gonna end this man’s whole career

jonkim_tvshowsandgames
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Just took a real analysis exam with 20 proofs, 5 definitions, 10 T/F, 5 open-ended questions, and 3 T/F questions where you have to prove your answer. In an hour. Dropping out now. This was my last math course...
I knew all the material, there just wasn't nearly enough time to write everything.

Edit: I didn't drop out. After commenting this, I got angry because the prof said he didn't want me to pass so I studied hard and memorized every proof from 4 chapters of the textbook to do well on the final. Passed the course and I'm gonna graduate now.

korbinmdavis
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Berkeley's Real Analysis class taught by Dmitry Vaintrob, just assigned this video as an introductory assignment haha!

suryaprakashvengadesan
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This guy makes the first comprehensive beginner's perspective on real analysis that I've seen one semester AFTER I took it!

WithASideOfFries
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The video is quite helpful. Thanks for the suggestions. Struggling with the real analysis right now. Questions are not super hard, but I'm nowhere near solving them. It's frustrating that after so many hours of hard-working, I still have a hard time writing down proper proof without oversimplifying or complicating things. Whereas my classmates are gifted, discussing recondite ideas with prof all the time.

Lola-wqhn
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I'm actually kind of surprised to hear that (at least some) math programs use real analysis as the first proof-based course. At my school, they used the discrete math as the "intro to proof" course. As a computer science major, it was hard enough for me to pass this class when we were writing proofs about sets; I can't imagine having to throw calculus into the mix!

christopherallan
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They taught us this course in our first year of university in 1998. It was a wakeup call for so many students!

RamiSahyouni
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Agree on repeatedly failing and trying then finally getting it. That's probably the best thing that I gotten out of being a math major. There's no way I'm giving up on anything after completing my degree.

nievsbest
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15 years after graduating as a math major, i still have nightmares about those exams lol. No joke.

spydanig
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I would love to see a top level summary of what you learn in real analysis and what it allows you to go into next.

frankduffy
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I’m taking intro to Real Analysis this fall. So glad I found this video. Thank you!

robertlihou
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🎓Become a Math Master With My Intro To Proofs Course! (FREE ON YOUTUBE)

BriTheMathGuy
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This subject really shook me in my first sem class. It takes so much time to absorb, and is just So different. Watching your video's making me realize how students first upon entering college-level math need to be given intro transition classes into each subject each semester. Like, u need some storytelling and constant context to get through that!

tanyacjm
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I came here after crying my eyes out because of a real analysis assignment. I really wish I knew this beforehand, it’s so disheartening to be in a class where you feel so inadequate

adanice
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It's the first time I feel like I'm personally advised about going for a math major. Thank you.

entropyss
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It’s funny how big YouTube is. You are clearly doing a great job, you have videos that are well made and well targeted and raking in the views. This is the first video I’ve seen of yours. Keep up the great work!

JoelRosenfeld
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An undergrad course on topology without proper motivation *is* the killer.

xjuhox
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I will be teaching Real Analysis this semester. In preparation to the semester, I was planning to find a tasteful video on the history of RA. Then instead I found this video! These things came to me naturally when I was once a student, so, I was blind to most of the issues. But by experience I know, these are exactly where my students may struggle. I will share this video with my students. They'll surely appreciate it. Thanks for the excellent video!

haskaru
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Here's a nugget: Take Set Theory if it's offered or study it on your own. This is like the "introduction" to Real Analysis. This will get you thinking about the abstract logic when studying real numbers and knowing how to "speak the real analysis language" when it's time to discuss integration and differentiation utilizing sets because you're not going to be computing hardly anything, but writing nothing, but proofs and more proofs

weltonspratley