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/sci/ - Science & Math

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10009094 No.10009094 [Reply] [Original]

I'm not talking about complexity, otherwise the "hardest"would obviously be advanced grad courses. Be humble, tell us which math course you had the hardest time with.

>> No.10009097

for me it would be ;

(hardest to easiest)

calc 2

anal-ysis

calc 1

analysis 2

calc 3

linear algebra 1 and 2

statistics

>> No.10009124

>>10009097
isnt analysis the euro calc? how does it make sense that calc 2 is way above ana2 if its the same thing

>> No.10009135

Easiest was Linear Algebra 1 and 2. Hardest was probably Unitary Representations of Lie Groups, though that may be partly due to the professor's habit of abusing notation to a criminal degree.

>> No.10009352

>>10009124
Analysis isn’t euro calculus. It’s literally calculus as calculus was formulated. Calc 1, 2, multi, and diff eq all involve analysis, but they generally hide it away from you until you get comfortable with it (and hopefully, it shows up in your differential equations class). Get comfortable with making bounds

Anyway, algebraic topology and algorithms were two classes that really stretched out my mathematical capabilities.

>> No.10009400

>>10009094
desu the hardest time i had was with precalc

time series methods were also a bitch

>> No.10009553

>>10009352
>algebraic topology and algorithms
sound sick as fuck, never heard of it

>> No.10009555

>>10009400
I feel you but for me it was calc 1
I thought I would never be able to do another math class this difficult but then I got used to it.

>> No.10009646

hardest FOR ME were Algorithms and Theoretical Computer Science II .. Statistics was rather easy

>> No.10009657

>>10009094
Calc 1 & 2 honors, introduction to topology and exterior product sophomore year, calc on manifolds, honors real analysis, honors complex analysis. Those we're all the classes I had the hardest time in, in no particular order. My easiest classes were honors linear algebra, second quarter linear algebra, history of math, and math methods of physics

>> No.10009881
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10009881

>>10009657
>>10009352
>>10009124
>>10009097
I'm soon going to have analysis classes and I'm fucking spooked I'm going to fail.

Hold me lads I'm just a retarded CS fuck

also have diff eq. but that's for later

>> No.10010194

>>10009881
It’s alright. Just be firm in your fundamentals (proof styles, naive set theory, infinite cardinality, basic number theory, etc) and learn to love the triangle inequality

>> No.10010196

>>10009553
Advanced graduate algorithms is a really good class. People like to use the blue CS mergesort induction man to make fun of CS, but it’s a wonderful field and incredibly painful. You’re not just asked for a solution but the best solution that you can prove, and it is often the case that the best, amazing algorithms are a bitch to analyze.

>> No.10010200

>>10009646
What was your hardest theorem from theoretical computer science ii?

>> No.10010401

>>10010194
will pin your advice
ty

>> No.10010585

Hardest for sure was graph theory, I was totally outclassed.
Difficult but doable would be real analysis and combinatorics
Easiest would definitely be anything statistics (besides mathematical probability)

>> No.10010617

Physics E&M
Absolutely retarded professor made it a lot worse

>> No.10012814
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10012814

>>10009094
Differential Geometry 1
That course really pushed me to my limit.
Every riemannian structure was introduced via vectorbundles in the most abstract way you can teach the subject. It was really beautiful in a way but since all you do for the first 2/3 of the course is define things and now you were doing that in a very abstract and time consuming way everything turned into a clusterfuck.
almost any lemma/theorem that came up we had no time to prove in class so you had no way to get an intuition for the objects you had defined.
The prof then instead decided to make them problems on the weekly exercises that inevitably now took about 20 hours to complete and the solutions were also about 20 pages long .
I was in my 5th semester back then and that course was the first that felt like it took my mathematical viginity even though it was mostly unconsentual.
But it was also propably my proudest archivement in undergrad to be the only one in the class to ace the oral exam.

>> No.10013347

>>10012814
fuck.

>> No.10013367

Topology

I think this is mostly because my professor was not very good, but also I just had a hard time wrapping my head around certain concepts regarding open sets and closed sets (I did this before analysis) also a lot of the space classification stuff went over my head. We even went into algebraic topology at the end and I was totally lost.

>> No.10014033

>>10012814
>to ace the oral exam
I bet you got a good grade being good with oral and all.

The professor must really like you.

>> No.10014797

>>10010200
Noether's

>> No.10014829

>>10014797
Oh, you covered that in a CS class and not in physics? What was the context?

>> No.10014867

>>10009094
Easiest: Calculus
Hardest: Number Theory

However, that was mostly because the professor that taught NT was very demanding and did not give us any exercises, only problems. I suppose that is a pretty low bar but it was the first time that happened for me.

>> No.10014875

Hardest was Recursion Theory. Lots of stuff going on there. Easiest probably undergrad algebra.

>> No.10015191

>>10014867
I had a similar experience but mostly because I had taken and passed qm, classical mechanics, and experimental physics before I took diff eq. Or multivariable, so the pure calc was a joke.

My number theory class had 5 people in it including me because prof wasnt particularly popular. He taught from a small dense book. Format was proof based hw typeset (latex) preferred.

By the end of the class, 2 had dropped leaving me with one other senior and a grad student.

I found the work to be more difficult than analysis because analysis was mostly brainless application of previously established proofs.

Number theory required coming up with interesting algorithms. As far as the prof was concerned, if it wasn't constructive it wasn't worth full score even if he acknowledged a non constructive proof as valid.

>> No.10015404

>>10009094

Easiest: Multivariable Calculus
Hardest: Probability Theory

>> No.10015465

>>10015404
>Easiest: Calculus in [math] \mathbb{R}^n [/math]
>Hardest: Calculus in [math] [0,1] [/math]
??????????

>> No.10015474

>>10015465
Lul

>> No.10015475

>>10015191
How come you couldn't use non-constructive arguments? Does that mean you couldn't use roots of unity or the Legendre symbol? What's the point?

>> No.10015483

>>10012814
>was in my 5th semester back then and that course was the first that felt like it took my mathematical viginity even though it was mostly unconsentual.

Definitely know that feel. My first exposure to group theory was by a tenured professor that was mad that he got stuck on stupid undergrad duty (small department), so he took it out on us. He pretty much taught it at a graduate level and told us to find our own resources... lol.

Group theory is just combinatorics and number theory anyway, so fuck that guy. Still, he made me learn how to quickly find my own resources and teach myself the material necessary, even if it was in a sink or swim environment.

>> No.10015486

>>10015191
I agree that constructive proofs are superior but I would take it to the department if he continually didn't give me full marks for a valid proof

>> No.10015520

I have fucking sucked at everything that implies knowing basic calculus so far. I just don't like it, don't see the point of it, don't understand it, don't want to. I have actively put off studying it since high school. The only reason I have never failed a semester is because all my other grades are so good. Put me in an abstract algebra or number theory course and I'll show you p h e n o t y p e , but as soon as integrals are involved every normie and their mother are flexing on me. I don't understand the normie brain, they'll spend half and hour trying to prove that (Z, +) is a group and shoot themselves when tasked with writing basic algorithms but as soon as you break out that long s symbol they all turn into fucking leibniz.

don't even try calling me a brainlet, my IQ is certified high btw lol

>> No.10015577

>>10015520
You are a brainlet. Calculus is so central to mathematics that at least 3 centuries of mathematics was entirely dedicated to finding the right way to teach it, leading to the most saturated and complete symbolic calculus that exists in all of math. If you can't learn that boy will you get fucked in the asshole by a 10 inch BBC when you finally have to face a real problem.

>> No.10015602

>>10015577
>You are a brainlet
post IQ you dyel, post IQ right now or nothing you say matters

>> No.10015638

>>10015602
I have a 142 IQ and I'm 42% Africon Americon

>> No.10015644

>>10015638
kek I have the same IQ as your IQ, guess it's a stalemate. I'm white though so I'm probably right.

>> No.10015649

>>10014829
Leading up to Gröbner bases

>> No.10016138

Hello and Welcome to /sci/ , let me show you around!
>>10015520
>>10015577
>>10015602
>>10015638
>>10015644
Enjoy your stay!

>> No.10017220

>>10009094
that card is trash tier, who pays 4-2B for a counter spell card that can only target creatures.