WHAT COMES AFTER CALCULUS? : A Look at My Higher Level Math Courses (I Took 22 of them).

I always would ask about what comes after calculus when trying to learn more about mathematics and about what it took to get a math major before starting my undergrad degree. Since it is a question that a lot of people interested in pursuing higher level math or just interested in taking higher level mathematics classes might be wondering about I decided to make this video. I took 22 of them, so here I go through all 22 of the higher level mathematics courses that I took while pursuing my math major. So to answer the question of "what comes after calculus", I would have to say "a lot".

HERE ARE THE BOOKS FROM THIS VIDEO:
Number Theory: (Wasn't able to find this one D:)
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#CHALK #WhatComesAfterCalculus #Math

[TheBillNye]

I feel flattered that YouTube thought I should know this

[nickcolleran]

You know a book is expensive when it's pointed out as expensive in comparison to a bunch of college textbooks

[HemstitchedIrony]

So the answer to "What comes after Calculus?" is suffering?

[josemaria_landa]

I'm a math major as well, so far I've taken:

Calculus I
Calculus II
Calculus III
Calculus IV

Discrete math I
Discrete Math II

Intro to programming
Linear data structures
Non linear data structures

Geometry

Linear algebra I
Linear algebra II

Combinatorics

Probability I
Probability II

Statistics I
Statistics II

Ordinary differential equations I
Ordinary Differential Equations II

Mathematic Analysis I

Numerical analysis I

Right now I'm taking

measure theory
Complex analysis
Numerical linear algebra
Linear programming

Next couple of semesters I'll be taking:

Functional analysis
Non linear differential equations I & II
Partial differential equations I & II
complex analysis II

Differential Geometry
Abstract algebra
Numerical Analysis II
Classical mechanics

I've also taken some other course that aren't that math related like some C.S courses like probabilistic modeling, programming, and language courses


It's been quite a ride.

[BaiZhijie]

As someone who never went beyond Multivariable Calculus, this is really great for giving me a glimpse of what lies beyond. Like you've taken me to the top of a mountain and showed me a whole unexplored country. You are describing all the waterfalls and forests and lakes and towns in that country, and I don't understand any of it yet really, but I get a sense that the country you visited is vast and rich, and I like gazing out and thinking about it.

[akankshyamahapatra]

Everytime a book hit the floor, my heart jolted.

[kumirei]

As a physics student seeing all these fun math classes makes me want to do a math degree after physics

[fvs]

As a math major freshman I loved seeing what i will have to study later! Please keep the content going because is so difficult to find great math channels:)

[ricchburglar]

when one completely finishes calculus he/she ascends into the multiverse and loses their mortal selves.

[JM-usfr]

It might be easier to answer: what DOESNT come after calculus? Mathematics is an incredibly vast subject, and calculus is just one of a couple starting points.

[vox]

I am equal parts fascinated and repulsed by mathematics, I absolutely loathed my courses at university and performed poorly but I love watching the videos

[hyiux]

What comes after Calculus? Nightmares. That's what.

[ate]

Y'all pure math students are on a whole different level. Double-Majored in physics and applied math (and technically minored in Chem, had enough credits for sure but our department didn't award minors. Beyond diffEQ and linear algebra many of my "applied mathematics" courses were counted within my other quantitative courses, so the usual physics major sequence and some of my chemistry sequence. I took modern algebra for a month before dropping it due to just feeling out of league with the other pure maths majors in the class. Very inspiring stuff though and makes me want to independently study much of this on my own now, so ty for the inspiration!

[hmrcyo]

I made it 4 minutes in before I decided I don’t think I’m going to take any more math classes! Thank you!

[manishanand]

Man u have got to produce more & more of these videos. This is ONE of the BEST, FINEST content I have watched on Math courses & Textbooks that will be useful in undergrad & post-grad.

[noahgiamei]

The fact that you can remember and articulate the details of all those classes is astounding to me. I watched through the whole video even though it was WAY over my head. A funny idea for the book throws might be to add other sound effects in place of the slams. (Not sure if that's your 'brand', but it might maintain the novelty of it.)

[intfxdx]

Engineering physics/science background here. We did about half of these but the order was way different. Your order makes a lot more sense.

[pharynx]

literally every class you described here, terrified me. i'm glad the last actual math class i have to take is diff eq. i was considering minoring in math, depending on how many additional math classes i have to take, but i think i will focus on taking extra mechanical engineering courses instead lol.

[Itzak]

Just the type of video i've been looking for!

[michaeldeierhoi]

This video speaks to that part of me that didn't take the opportunity to challenge my potential for more advanced courses in college. Years of depression and anxiety stifled me in about every way possible in high school right through my first years in college and beyond as well. Now at 68 and retired I am beginning to explore again what I wished I had had the capacity to do all those years ago. I may be watching more of your videos in time. I suppose the book that interested me the most was fractal geometry.