So I'm taking discrete mathematics next semester and I was wondering if any of you guys could give me some insight. So like is it hard? And are there any yt channels that I could use or any sites?This is gonna be the first time I'm taking discrete mathematics so I'd like to know if there are anything I should keep in mind?
>>83681244It was the second hardest class I ever took in college and the only one I dropped and retook.I have no advice other than use all the resources they give you. Go to TA/professor office hours.Also maybe learn LaTeX if you don't know it for typing up your proofs.Good luck anon.
>>83681244>So I'm taking discrete mathematics next semester and I was wondering if any of you guys could give me some insight. So like is it hard?It's pretty easy. It's basically the laws of logic. The thing that sucked for me was counting. I'm convinced counting only makes sense to like 10% of people. I just can't do it. Proofs and stuff are chill af tho.You're basically gonna be spending your whole time doing simple number theory proofs with mathematical rigor.Just be correct in every step you take, and thorough when you take a step.
>>83681244You have to know propositional logic, have a good grasp on the concept of matrices, sets and its properties. You have to learn proof and mathematical induction because you will use from start to end. There was binary relations, Peano's axioms, Hasse diagrams too. For now it's all I remember but I think that is good for basics
it's basically the easiest most practical math, aka barely math and pretty much philosophy instead
>>83681388No it's the 2nd easiest. I literally slept through most of my stats & prob class and I still aced it.
>>83681244learn summation, infinite series, combinatorics and proofs by induction and other integer proofs. that's all really, I do believe discrete maths is the most useful out there and like 90% of applied maths
>>83681509that's because that's not actually a math class but actually a philosophy class
>>83681655You're splitting hairs, it counted as a math credit so it's a math class as far as I'm concerned.
>>83681638This is definitely not the only cheat sheet you need are you retarded? where are the differential equations?
>>83682065lol integrals represent numbers so they're inside the diagram
>>83682325>integrals represent numbers so they're inside the diagramdunning kreuger in action, amazing
>>83681244It's pretty hard. At least, at the graduate level. I got a C- in the class but it was one of my favorite classes I've ever taken. Currently hold a BS in Math, for reference
>>83682395>cites dunning kruger, a fake effect pop-sci redditors like yourself lovecaught you kruger-dunning lolin all seriousness, it's a joke diagram. it was posted on /sci/ in a thread named "unhelpful diagrams", I believe it's still up if you wanna check. also my statement wasn't false. if the integral is a function, it is still defined as a formula that has an unknown numerical type, midwit.
>>83682726>if the integral is a function, it is still defined as a formula that has an unknown numerical type, midwit.I mean linear differential equations can be treated as a space up to isomorphism and often are. Don't know why you're focused on the integral function, that's sorta what makes diffiqs harder. And also things are integrable different ways but not necessarily solvable using differential equations easily.
>>83682833you just got caught up in symbolic manipulation and forgot that expressions must assume a numerical value. the way you solve it is up to you but yeah it all boils down to numbers
>>83682989this is anti-algebra slander there are only 2 numbers, 1 and 0!!! sorry snowflakes i didnt make the ring
>>83682989Numbers don't exist they're fake shit we made up to make math easier
>>83683001I agree>>83682998schizo babble. take your meds chud
>>83683033>schizo babble. take your meds chudit really isnt schizo babble. theres identity under the two operations then just elements and inverses. like idk complex numbers barely exist in reality they're kinda just conceptual abstrations that depart our ability to think of objects or functions as pure numbers. Like idk saying that functions are numbers when they're elements in a space is just crazy to me. thats like the whole point of algebra that homomorphism of spaces can be more useful than playing inside the elements themselves.
>>83683077integrals are functionals. functions are relations on numbers. in formulas they are both numbers. what's this shit about spaces? are you referring yo your vacuous brain, you fucking RETARD? homomorphisms? you fucking homo too? drop the act nigga ts ain't tuff.type(\int_a^b{f(x)}) == numbertype(f(x)) == numberquesto ergo demonstratum o algo
>>83683128>integrals are functionals. functions are relations on numbersyou can also treat integrals as operations on a function space and derivatives as the inverse element though. thats what im saying. The numbers are nested behind the f(x)<->F(x) isomorphism
>>83683155how would you define an integral of a non-numerical function? go on anon, we're all ears.
>>83683170The Lesbeque integral of the Dirchelet Function off the top of my head is a good example of a non-traditional integral. It uses the property of belonging to a set rather than an arithmetic process.
>>83683188>The Dirichlet function is a mathematical function that is defined as 1 for rational numbers and 0 for irrational numbers.you failed.
>>83683205>he googled the definitioni guess you arent capable of the level of conceptualization i'm talking about. I'll simplify it if I can.Imagine a number line, you can choose an integer on that line. Now imagine taking one number line and intersecting it with another number line to make a plane. Is this plane a number? No, it isn't. You can use a plane to calculate numbers, just like you can use a function to calculate numbers. The numbers are contained within the function, the function is not a structure of numbers the numbers are products of the function. The relationship you're seeing the spaces is reversed. You can engage with the functions in function space without talking about whatever field the domain of the function is. Often the product space IS arbitrary for abstract algebra. So you really only need it to be a ring a lot of the time. You can generate a ring with two elements, the 0 element and the 1 element. So I was making a joke that all that matters in the ring is 0 and 1 cause the rest is just an arbitrary element. I don't think it was that unclear.
>>83683294>You googled the definitionI don't really use google.The definition of integrals use a number-typed space (the word you love so much): An integral is an inverse operation of a functional transformation on a function which takes the form of a NUMBER-TYPED EXPRESSION (limit definition of the derivative). you can have rings, fields, operations, functors and infinite other extraneous objects based on these concepts but it doesn't make my assertion any less true. integrals are numbers.>So I was making a jokethe jokes write themselves muehehehe
>>83683375> you can have rings, fields, operations, functors and infinite other extraneous objects based on these concepts but it doesn't make my assertion any less true.i mean this is where you're wrong. Moves on a chess board can be algebraic spaces. Relationship success in love island can be a function. The only person tying functions down to numbers is you, unless you're arbitrarily defining numbers as anything that can be an element of an algebraic space. Doing that basically makes everything a number though because all functions do is define a relationship between elements from the domain to the projection.>integrals are numbers.Completely wrong, actually. If integrals are numbers than you are basically saying 3 is an integral.An integral is a function, not the solution to it. That's why the indefinite integral is a function of the differential
>>83683462doesn't prove anything incel
>>83681244you could always ask ai to recommend you the yt channels
>>83681244I had no problem with calculus 2 and 3 but discrete mathematics filters me, I hate this shit and retarded niggers who make you learn this useless gsrbage
>>83681244Literally the easiest class I've ever taken in my major. Should have no problem if you've written mathematical proofs before.
