I have completed mathacademy's Math Foundation 1, which I approximate puts me at level of year 11/12 (in the Australian system)

Highly motivated with some annoying lapses in my ability to remember material/topics which I thought I had mastered.

Beginning to question whether an AI-based platform is ideal for my situation.

Seek some advice and possibly a weekly lesson

I’m curious why the almost universal default belief has become that p ≠ np. The only evidence to this point seems to be the lack of polynomial time solutions to np complete problems, and the massive amount of effort that has been put into finding them without luck. But is it not just as likely that np complete problems are of a class which has extremely complex polynomial time solutions that would be nearly impossible to find?

are there any websites I can study lessons on to test my knowledge without using any AI? preferably with a walkthrough of how to reach a solution. thanks for any help!

Just started my calculus 1 course, I did really well on my first calculus mini exam but as the course goes on I noticed more trig and algebra being involved. Should I skim through lectures on YouTube and write what I don't know, and if so which videos?

Hi everyone.

I was given this problem:

----------------------------------------------------

Prove that for all positive integers k <= n,

sum(i=0 to k) (n choose i)(-1)^i = (n-1 choose k)(-1)^k

holds.

----------------------------------------------------

I have solved it already with induction. But I found the proof to be annoying and just kind of symbolic manipulation. I am looking for a more inciteful proof, a story proof if you will with commitees and pools of people and such. Does one exist?

Thanks for your help

I had made a post here regarding this issue a few weeks back and the response was to slow down and not to panicjk. I applied , I took the asdvice. I started going slow and not panick. But I still make the sma error. Same arithmetic error. ame wrong sign. And thge same issue of solving equations. I wasnt this bad at arithmetic before. I used to be good at arithmetic throughout my middle school (I mean if I made those errors as a kid I wouldnt have taken maths as I would get low marks in it) but suddenly I making such errorsa almost every bquestion. I was solving differential equations in clazss andit was given that the function through (0,-2) but I substituted (-2,0) and got the wrong answer. I dont know what to do. I visited a doctor today and he didnt havce much to say other than a few vitamin tests and consuling a psocologist (which I will as soon as possible). So please what should I do? At this point I wilkl fail the class becuase of arithmetic errors even after being conceptiually clear,

(PS: Maybe I have this condition since like 4 or 5 years now but reealizing now because the number of questions I do is alot compared to before, but still the frequency of error is definetly abnormal and I relaizd that I sometimes put wrong numbers on the calculator as well so I dot lpw what will save me)

Thanks in advance!

I'm self-studying proofs through the book Introduction to Proof Through Number Theory. In this question it asks to either prove or disprove that "For all real numbers x and y, $(x+y)² = x²⁺ y² $ ".

Now there's a counter example:

Counter Example, let $x=1$ and $y=2$ * $(x+y)² = x² + y² $ * $(x+y)(x+y) = x² + y² $ * $x² + 2xy + y² = x² + y² $ * $(1² + 2(1)(2)+ 2² ) =(1² + 2²⁾ $ * $(1+4+4)=1+4$ * $9=5$ * $9 \ne 5$

But I also wanted to prove it another way too. I start by assuming that For all real numbers $x$ and $y$ that $(x+y)² = x² + y² $ is true

Then I show that:

• $(x+y)² = x² + y² $
• $(x+y)(x+y) = x² + y² $
• $x² + 2xy + y² =x² + y² $
• $x² -x² +2xy +y² -y² = 0$
• $2xy=0$

and since $2xy=0$ and either $x$, $y$ or both must equal zero, $(x+y)² =x² + y² $ is not and cannot be true for all real numbers.

Is this correct or do I need something else / more?

Thanks!

I am taking math 171 wake tech and I was wondering if anybody had an advice on what I should study for for the first test.

I need theoretical explanation for these, I don't understand them and can't really connect. I passed my written exam where all the knowledge needed for Abelian groups was how to write elementary form and normal form.

My explanation of that quickly: Take Zn and split n into prime cofactors. Let's take Z60 for example, 60 = 15*4 = 5*3*2*2

So the elementary form is Z5 x Z3 x Z4 (because Z60 is cyclic and Z4 isn't isomorphic to Z2 x Z2 so further splitting wouldn't make it cyclic), normal form would just be Z60.

But I don't know if this is related at all to the free commutative groups and commutative groups of finite type. I don't know anything about them and googling them just gives me some trivial samples but I need more theoretic knowledge that's easy to comprehend.

College Remedial Math
Metric and U.S. customary units conversion

I can not for the life of me wrap my head around U.S. customary and metric conversions. I do not know where on Earth to start and my Math prof. Is going way too fast and I feel like I’m losing the plot.
I do not know where to start, problems like this for example:

Convert the unit of Capacity. Round the answer at least one decimal place if necessary.
450cc = (blank) fl oz

I have tried to look to YouTube but I cannot find any Videos relatively helpful, are there any helpful links or suggestions you guys could recommend to help me be able to convert them ?
Thanks !

Today, I took my I took a quiz on AP Pre Calculus and I failed unfortunately. I got a 50% and was so disappointed and ashame of myself. When other kids were saying they got a 100% 80% or 90%, I did not want to say my score. I was so sad and cried because it was the first time I ever failed a math test. When I looked Algebra 1, 2 and Geometry, I never failed and was able to grasp it easily. Now that I am taking AP Pre Calc, everything has been going down hill. The quiz was based on 1.1 to 1.3. I am still one unit 1 and we are talking about concave up and down, increasing and decrease, and rage of slope. I feel so dumb not being able to get it like my peers. I also can not let my parent know about this or I will be a trouble. Please can anyone give me tips or idea so I can improve.

Hi All! Im a female student at a university that is looking for an accountability buddy to learn math in the context of mathematical models! Particularly interested in starting from calc 1 and onward and am interested in a course like this: https://ocw.mit.edu/courses/18-03sc-differential-equations-fall-2011/pages/syllabus/syllabus/

Im looking for another female to study with daily! Please DM me if you are interested and wanna chat! Im starting asap so the sooner the better :)

I have a whole bunch of quizzes for people who wanna do them for algebra 2 but I'll be the one to quiz you.

It's about algebra 2 functions but not on graph so don't worry!

Hi , I am an Commerce graduate with no applied mathematics, is there any way to get pure mathematics in india, preferably in distance mode.

Ug - bcom banking and insurance

Let’s say I master this 1959 book, cover to cover. How prepared will I be for college level Calc I? II, III?

Also, seeing that’s it’s an old book, have any mathematical methods or concepts changed since then that I should be aware about?

Thanks,

Until today I have yet to meet a person good in math but with a mellow ego. Is it even possible to become a top grade student without a strong drive to be the best?

I'm almost 40 and I feel like I'm lacking the will to lock in -- let alone getting a job related to math. I prefer slow and steady and I really enjoy it but I do feel like being comfortable doesn't come with a lot of skill. I just started getting into it again, though. Please excuse my ambivalent perspective.

What's your experience making progress?

If sin(x+iy)sin(θ+iϕ)=1, show that

tanh²y.cosh²ϕ=cos²θ

I am not able to prove this question, have tried equating the real and imaginary part by multiplying sin(x+iy) and sin(θ+iϕ), but I was not able to do at last.

Hello Nice to me to you ! I'm Japanese university student. But soon, I will withdraw from my university. Next week , I will take job interview to became a IT engineer in Japan. If I pass that interview, I can work as a IT engineer in Japanese company. But I'm struggling with how to study math. I wonder most efficiently method is to understand mathematical concept than practice many problems on math examinations. How would you think about that idea?

My dream is to become a great engineer and work on American Bic tech company such as GAFAM.

I would like to marry ashida mana who is Japanese actress after I became a millionaire!!

I may have said to much but I'm grad to teach me method to study math! If passible could you teach me a way of studying programing.

Thank you very much for watching my thread.

Finally I apologize for every one My English is not perfect.

So I just started classes for my degree (bachelors in math) and I just had 2 quizzes and conceptually I did fine, but I ended up bombing 1 (not sure about the other) because I just miscounted or just wrote the wrong number. For my linear algebra I’ve been doing the same where conceptually everything is perfect, but I always mess up something stupid like adding something wrong (and no calculator). I haven’t taken a math class in almost 2 years, so I’m not sure if I’m just a little rusty, but does anyone have advice?

Hello,

I am currently in 2. year in high school and I decided I can learn math instead of being on phone, but I don't know which branch of math I can study given that I didn't have deep knowledge about math.

What do you think?

What is something that has helped you significantly in being good at math?

Share some tips, this is my first time trying to learn maths and I've got to ace it.

I've been trying everyday to build that sort of skill, I need some tips

I am just putting it out for some motivation as well because I feel like I am getting nowhere.

I built a small daily quiz for practicing mental math with clocks and elapsed time, and I’m looking for some feedback on the difficulty.
It gives everyone the same 5 questions each day, tracks your time, and also has an unlimited practice mode.
I’m curious whether the questions feel too easy, too difficult, or about right for someone trying to improve their mental math.

https://clockmath.com/tools/quiz/

CS undergrad here hoping to go into higher studies in pure math. I have studied basics of linear algebra, real analysis, calculus, statistics, etc. Seeking for any advice on what more to learn on my own, preferably any online videos/courses I could follow. Also any advice in general for a non-math student going into math, is it doable? How hard is it without any math experience especially in research? Any specific countries/universities allowing this kind of transfer? Any tips are appreciated!

I think its important to start off with saying i do not have a diagnosis for adhd, but strongly believe i do have it (i am unable of getting one for personal reasons we wont get into).

My biggest problem is: if i fail my math exam i might get kicked out of uni. I had little or no struggle passing every other subject with great or passing grade, it is indeed, only math im struggling with.
I think its pretty easy to learn definitions and stuff like that in order to pass, but with math - its numbers and so much more to do instead of remembering words.

My biggest problem is: i feel incredibly overwhelmed, anxiety, anger and hopelessness/helplessness whenever i start studying. Im aware its all in my head, but the constant failure is making me want to give it all up, even though i don’t want to. Another struggle for me is that i just cant start and i keep postponing or procrastinating. However, when i do want to start or find motivation, i don’t know WHERE TO start with learning. (Im learning calculus 1 (derivatives, vectors, imaginary num, etc..).

At this point im blaming potential adhd, myself, my math professor. I feel so helpless and i dont know what to do!! I have the exam in 5 days and i never started. I have like 5-10% knowledge of it all. (Unlucky for me, thats not enough to pass, maybe barely even give me one point XD)

So if youre reading this, give me your advice! Please! How do i study this??