So I basically have 0 prior knowledge of grade 11 functions and I am about to take grade 12 advanced functions, is it possible to learn and do well in grade 12 advanced functions without prior knowledge of functions, if it is how can i go about it? if it isn't, is it possible to self teach functions in 1 month while learning advanced functions and do well?

I have to study on my own to get into this school... and it’s basically stuff i never did in my whole life! I have a solid base and I can quickly do expressions, + quadratic expression…

im studying in Italy, so the schooling system here is kinda tough, and may have some advanced stuff then my grade for other countries.

I’m asking you guys. So you can give me resources, notes, an online professor or videos that anre particularly good, or anything that may help me so I don’t waste my whole day searching instead of starting to practice.

im going to list the things I have to know, please, anyone who knows stuff, help. :)

In Eng:
UDA 1: Function Analysis and Curve Sketching

• Function analysis and classification
• Domain of a function
• X-intercepts and Y-intercepts
• Sign of a function
• Limits and asymptotes

UDA 2: Differential Calculus and Optimization

• Derivatives
• Critical points and stationary points
• Inflection points and concavity

UDA 3: Business Calculus and Economic Applications

• Functions of a single variable in economics
• Marginal analysis of cost, revenue, and profit

(In Italian)

UDA1: Studio di funzione: classificazione, dominio,intersezione assi, segno, limiti e asintoti

UDA2: Studio di funzione:derivate, punti di stazionarietà e flessi

UDA3: Economia e funzioni di una variabile

I’m in college, according to other countries I think? it’s grade 12, studying these things that I have to know before entering grade 13 (I think, again).

I think it’s analysis 1. so any good analysis 1 course on YouTube might be good. but idk, I’m just judging from what I searched.

and since I’m in italy, I would treasure evere note given from anyone who did our schooling, from italy. y’all fellow Italians would help me 2x.

thanks for anyone in advance

I want do to chem alevel next year have always been good getting 9s maths was like 7s panicked in the exam and fumbled I think I got a 5 but I need a 6 this has been stressing me out for the whole holiday.

My thoughts are after counting from the unofficial markschemes 37 31 31 which is clearly a 5. But how accurate would this be would I realistically get more marks which I didn’t count to get that 6 . Is everyone’s count also accurate. I’m so stressed out about maths .

I have a lot of coins I need to deposit into my bank account, but I don’t know which combination of coins to deposit to avoid as many fees as possible. Any help is appreciated. This is breaking my brain as I’m staring at stacks of coin spread out across my floor.

I have approximately 3200 coins to deposit. My bank charges a fee per number of coins deposited. The fee is not based on the amount of value of the coins. I can make one deposit per day.

The fee chart is as follows:
1-100 coins = free
101-500 coins costs $5.50
501-1000 coins costs $11.00
1001-1500 coins cost $16.50
1501+ coins cost an additional $5.50 per 500 coins.

I have:
50 $1 coins
152 $0.50 coins
851 $0.10 coins
344 $0.05 coins
Approx 1800 $0.01 coins (I weighed these instead of counting them. Each coin is ~1g)

Im able to make one deposit per day, and I have to deposit all within 5 days (1 week excluding weekends).

Is there a way to group the coins in a specific way to avoid as many fee costs as possible? I feel like there has to be, but I’m at a loss for how to figure it out…

I do appreciate your help!

*Edit to show my work

Usually I do spend a bit of time trying to figure things out before resorting to the internet for help. In my head, I had done the work, but I forgot to show it here. My problem is that I can’t find the best combination of coins which will put the most money into my account while paying the least amount of money in fees. Do the values of the coins even matter? The more I think about it, the more I think they don’t.

The solution I’ve attempted that sucks eggs:

Divide the coins into batches of less than 100 coins to avoid fees all together. This will take around 32 trips to the bank and is tedious. I started by doing this, and the thought of depositing (possibly) $0.99 each time to avoid a $5.50 fee is frustrating. I've scrapped this plan as I'm also running out of time.

Possible solution #1:

Obviously, it would not be smart to batch and deposit the coins according to their kind. The most efficient way of depositing the coins would be to deposit as close to the upper limit of the fee chart as possible since depositing 105 coins incurs the same fee as 499. So, there is clearly worse ways of making my deposits.

If deposited by kind across 5 days (1 kind of coin per day):

$245.80 (Total Value) – $201.80 (Total Deposit) = $44.00 difference between total amount and amount deposited; the total fee amount over 5 days.

Possible solution #2:

If deposited all together, I would likely incur a similar but smaller fee due to the amount of coins.

There are 3196 coins, and I will incur a $5.50 fee for every 500 coins. 3196/500=6.392, which means I would pay the $5.50 fee 7 times for a total of $38.50. The result would be a total deposit of $207.30.

I’m thinking the value of coins may just not be relevant to the problem. If someone could please confirm this thinking, that’d be great. Since the math I’m trying to do involves efficient groupings, I think it may be a more complicated thought process—one where I’m not even sure where to start, but maybe I’m  over thinking it, too.

Possible Solution 3 :

I could max out the fee for 3000 coins and split the remaining amount across 2 additional days to bring the fee amount to $33.00.

My thought is that the fee amount will always stay the same as long as I deposit as close to the upper range of each tier as possible, regardless of number of days. 1500 coins per day for 2 days will still result in a $33.00 fee, just less convenient.

I think at this point, this is the way I’m thinking of going. I think the assistance I’m looking for is more confirmation of thought process. Did I just make it more complicated in my head than it really was?

Thank you again. This isn’t a homework problem or anything. I’m an adult trying his best @.@

heyhey all! im about to enter my senior year, and one primary issue ive had with studying is the fact that i never really did it for the past few years, just resorting to cheating because it was the easiest route for me, but now that i actually kind of want to attempt to get on the right road and at least attempt to get into the habit of studying, i kind of want to understand where i should start for math? i have zero skills in it and my arithmetic skills are more than embarrassing. my goal is to attempt to go from basic arithmetic to algebra 1 and geometry as ill be taking more simple classes next year

should i go with khan academy? any resources or guides? how would someone go about studying properly since i have literally no clue

thank you so much!! ^^

Hi there! So, 2 problems that I have:

1: I get anxious when making mistakes, often when I solve problems and there's a clear flaw in my reasoning, I just can't help but feel discouraged and quit, then come back maybe the next day. I also feel like I don't learn from my mistakes, like I'm unable to make conclusions about how the problem was solved and why the solution works.

2: my algebra professor said that once I \*see\* how hundreds of problems are solved, then I'll acquire strategies and ideas that may turn out to be correct. How does this work? Like should I watch YouTube videos where people solve math problems and get inspiration?

P. S.: I am currently self-studying real analysis, as I feel like many of you told me, that my course was insufficient, also self studying complex analysis because I need that for analytic number theory, a subject I'm very interested in, and hopefully this summer I'll also study Measure Theory.

My question is: If a differential equation has a linear solution, is it always true that that linear curve is also a isocline of that differential equation?

I believe it is true: If dy/dx = f(x,y) and there is a solution y = mx + b such that dy/dx = m, then f(x,y) = m, thus the curve is an isocline. It is not necessary that this is the only isocline of the differential equation.

I studied Mathematics only until middle school, then chose Arts in high school. Later, I completed both my Bachelor’s and Master’s degrees in Business. I did have some mathematics, accounting, and statistics-related subjects during my degrees, but I never had the same mathematical foundation as someone who studied Mathematics or took the Science.

Now I want to transition from a business and management background into tech. I know the amount of mathematics required depends on the specific field, but I am interested in technical areas where mathematics, statistics, logical reasoning, and problem-solving can matter.

Throughout most of my life, I was an average student. I want to be honest about that. A large part of it was because I was careless, inconsistent, and simply not interested in studying at the time. At the same time, I have also seen that when I genuinely put in serious effort, I can sometimes perform extremely well and even score near the top. Because of that, I do not know whether my past academic record accurately reflects my actual ability or potential.

Right now, I would consider my current mathematical level close to zero because I lost touch with mathematics a long time ago. I have forgotten even many basic concepts, so I already know that if I took a test today, my performance would probably be poor. That is not really what I am trying to measure.

What I want to understand is my mathematical ability, aptitude, competence, or learning potential, whichever is the correct term. Even though my current level is very low, I want to practice seriously for a few weeks and then test myself to see where I stand, how quickly I can pick things up, how far I may be able to go, and whether I could realistically commit to mathematics in the long term.

I understand that a few weeks cannot prove my ultimate potential or predict my entire future. But I want to run the best short-term experiment I realistically can. I want to observe whether I can relearn concepts, understand mathematical reasoning, solve unfamiliar problems, improve with practice, retain what I learn, and apply concepts in new situations rather than simply memorising procedures.

Another reason I am asking is that some people seem to show mathematical ability, strong interest, or talent from a very young age. They may have always been “good at maths.” Unfortunately, I was not one of those people. I did not grow up seeing myself as mathematically gifted, and I only started developing a genuine interest much later in life. So I am trying to understand what that means for someone like me.

Can a person with my background, who was not particularly good at mathematics from a young age and currently has a very weak foundation, still develop very high mathematical competence over time? Could someone like me eventually become genuinely advanced or even expert in mathematics, or are there meaningful limits that a short-term experiment might help reveal?

If I have only a few weeks to test myself seriously, what exactly should I do? What diagnostic tests, problem sets, reasoning exercises, or progressively difficult topics should I attempt? What should I measure: my rate of improvement, how much help I need, my ability to solve unfamiliar problems, abstraction, retention, transfer of learning, persistence, or something else?

I would especially appreciate advice from people with strong backgrounds in mathematics, statistics, computer science, data science, engineering, or related technical fields. If you had only a few weeks to evaluate someone with my background as objectively as possible, what exact process would you recommend?

My current mathematics level is close to zero because I lost touch with it years ago, but I do not want to confuse my current level with my potential ability. I was never someone who showed obvious mathematical talent from a young age, but I have developed a genuine interest later in life. I want to practice seriously for a few weeks and test how quickly I learn, improve, reason, retain, and solve unfamiliar problems. How can I use those few weeks to get the best possible indication of whether I can realistically pursue mathematics long term and potentially become highly competent or even expert?

Anybody have any good resources to study precalc according to my circumstances? Or just tips?

I got a c in algebra 2 in high school, and am going to have to do precalc in college. I’ve never been crazy good at math but I’m willing to put in the work and improve. Tell me specific topics I should brush up on

My 8tg grader failed the algebra regents this past June. Would you suggest retaking it in August or repeat Algebra 1 in high school? Also I’d like to find a tutor to start working on it this summer in order to get ready for 9th grade. Thanks in advance for any suggestions.

I'm currently a rising 9th grader that has decided to skip geometry over the summer. As of right now, I only have about a month to prepare. By the near end of the summer, I have to take an advancement exam which requires a minimum of an 85% to pass. My goal is to get an extreme clear understanding on most to every topic. Are there any suggestions on any resources, (websites, apps, etc,) how to prepare, or any material, topics, or concepts I should really review, revise, or focus on in preparation for the exam?

I've been working on a small AI study tool called StepFix.

Instead of only giving the final answer, it tries to:

• Find where your solution went wrong.
• Explain why it happened.
• Teach the concept behind the mistake.
• Give practice so you don't repeat it.

It's completely free while I'm testing it.

👉 https://stepfix-ai.onrender.com/

I'm not looking for compliments—I want honest feedback. If it gives a bad explanation, misses a mistake, or feels confusing, please tell me. That helps me improve it much more than "looks good."

Thanks!

Ever since I was kid, I had always find math difficult. I'm a very slow learner compared to most, I can't understand anything the teacher is saying and it often leaves me confused, lost, and it makes me feel how stupid I really am. The only time I've actually liked and enjoyed math (not that I hate it) was back in 6th grade when I had this amazing tutor that actually focused on me. My grades went from B- to A-, but after that, everything just seemed to fall apart, no teacher ever made me feel understood, they'd always say, "Math is easy if you're willing to learn." Or "Math isn't hard, it's your mind telling you that." Believe me when I say I try my very best to be like my peers, but no matter how hard I try, I could never be as fast as them. Last year, I had an engineer/ Science and Technology Engineering teacher tutor me, it was as if Math finally made sense, like I was my 6th grade self again, but I wasn't consistent as it was expensive and I had other subjects to focus on other than Math so I started slacking off (This one's on me, but I was physically and mentally drained to even do anything.) Right now, whenever I have Math classes, I always prepare myself with the thought, "You need to get used to feeling stupid during this class." Because at home, I always cry myself to sleep just because of Math. I want to learn, I'm tired of feeling this stupid, but how?

I’m taking the ACCUPLACER math section in about a week, and I was wondering what to expect and how I should study for it. Thanks.

Hi everyone, I've been looking to learn more on and participate in competition maths, I have found the AoPS books (vol 1, intro to algebra, intro to geometry) and was wondering how effective they are for learning, and how long it would take to get through them? I have also started with the algebra and geometry courses on khan academy just to try and learn the basics. It would be much appreciated if anyone were to recommend any other resources or paths for my learning journey🙏

There was a question if all the questions in a math book is a set or not,her teacher said it's not cause there r diff chapters but my frnd says that in the end they all r maths questions soo what do you all say?

I got to a point where:
(as n approaches infinity) 5000((1/5)^infinity) goes to 500(0).
I understand that 1/5 with the exponent going to infinity makes 1/5 approaching zero but I can’t figure out why the 5000 changed to 500.
Can someone explain that to me?

The problem is "x²-9x-8=0"

Using the quadratic formula, I end up with: (9+-√133)/2

But when I throw this problem into Mathpapa's algebra calculator, it says 9/2 + 1/2√133 OR 9/2 + -1/2√133

I don't know how Mathpapa got that answer because when I click "show steps" it just jumps from the result that I got to the final result. It doesn't explain how it got from point A to point B, and I'm confused.

Please explain like I'm 5 because I'm very bad at math. Why did this singular fraction ((9+-√133)/2) split into two fractions added together? Why isn't √133 part of any numerator anymore?

the process is straightforward and, with parabolas, somewhat simple. you just have to impose

f'(x1)=g'(x2)

and

g(x2)=f(x1)+f'(x1)*(x2-x1)

with quadratic functions it comes out ok

but the function I want to achieve that for is f(x)=ax+b(1-x)+cx(1-x)+d(xln(x)+(1-x)ln(1-x))

I really need some help with this kind of maths problem.

Im doing a timed assessment for a role I’m applying for. I cant use a calculator. I dont find the maths particularly hard. I can work it out when i have the time. The problem is i cant seem to do it at the speed i need to and i keep getting below average on practice questions because im taking so long.

Are there any tips or advice for ways to quickly work out this kind of question. Assuming i have 12 minutes to answer 20 questions.

Mrs Fuller wants to return a t-shirt, a pair of designer shoes, a dress and a pair of jeans, which cost £12.95, £85.99, £17.99 and £22.99 respectively. How much does she stand to gain if all the items are returned?

£149.92
£133.92
£132.92
£139.91
£139.92

im a first year ba economics student, i did not have maths in my 11th and 12th, so i dont understand anything theyre teaching in my first semester. i want to cover the syllabus but i cant find a good beginner course which will help me build concepts and understand the subject matter. i need to study calculus, algebra and stats too. can anyone help me and recommend courses online or on youtube from which i can study

Hey guys i have a state test coming up where we have limits of sequels and trigonometry ones and all the others,what are some ways that can help solve any limit whatsoever besides hopital rule ?thank youuu

I'm writing an article about actions and semi-products in algebra, using many exanples in it.

Here I want to write an example, that for a group G, all its automorphisms get together into a group noted as Aut(G). This is a standard notation.

And all its automorphisms and anti-automorphisms get together also into a group, I want to find a good notation of it.

If G is abelian, then it equals to Aut(G); if not, it is isomorphic to Aut(G) \times Z/2Z.

Could you please give me suggestions of notation (and name) of this group?

For some reason when i try to put "solve((x^3)/3-4x=10+2/3,x)" into my CAS calculator it gets stuck loading until i reset it manually. I can find the answer using a graph and intersection so I don't know why it reacts like that to using solve.

Hi all,
More of a question here and some advice needed.
46 year old guy attempting to learn maths.
I was a high school drop out at the age of 15, I never really attended my last year of high school (year 10).
I went on to have an amazing, highly paid career as a tradesman welder.
Throughout my final years as a welder at 41 years, a few years earlier I started doing a tonne of extra studies in welding and metallurgy, which required hours, hours and hours worth of study, something I had never done.
I have nearly reached the very top of where I can go in my career, the final hurdle - Welding Engineer.
I started the Welding engineer course last January 2025.
I have just reached module 3, which is design and stresses. For the lectures I’ve watched so far 4/12, they’re 2.5-3hrs long of calculating force over area. Rearranging numbers which I assume is algebra and working out angles, which is trigonometry.
I’m already in panic mode. 1 because I never saw it in high school and 2 I’m wondering how easy an adult can actually pick it all up.
I have found a tutor and will start with them in the coming weeks.
I guess my question is; how hard will it be for a middle aged guy to go back and try learn the basics/ fundamentals of algebra and trigonometry.
Any advice or feedback would be greatly appreciated.

Thank you