Maths HL & Further
For HL and Further Maths discussions
1,179 topics in this forum
-
- 1 reply
- 3.1k views
Hey there, So I am doing Maths HL and lets just say it has been an exciting and hard journey. The time has come to think of our IAs before officially starting it and I feel more inclined towards Geometry. I was reading 17 Equations that changed the world for some inspiration and I thought of the Torus and how interesting it is. I thought of two questions based on the Torus - 1. Is our Universe in the shape of a Torus? 2. What is the Gaussian Curvature of a Torus? Please post your opinions on those and feel free to suggest any other questions!
Last reply by SC2Player, -
- 1 reply
- 502 views
Hey guys, I'm currently doing my IA on the Traveling Salesman problem and was looking for any good books/resources with clear and simple explanation of algorithms and especially Branch and Bound, since that's what I'm doing right now. Any recommendations? Thanks in advance
Last reply by SC2Player, -
- 5 replies
- 1.3k views
My Math HL teacher has refused to give me feedback on my IA, I was wondering if I could send it to someone here to look at and give me feedback? Thanks
Last reply by SC2Player, -
- 6 replies
- 1.2k views
Hi, I'm doing my Math HL IA on finding the volume and surface area of a frustum (from a cone). I'm determining the volume in three ways, out of which one is integration. I'm calculating the surface area in two ways, one of which uses integration too. However, though the formula for surface area is out of the HL syllabus, I feel like this is a very simple idea, and might not fulfill the 'Use of Mathematics' criterion as formulae for the volume and S.A. is available online. My Math teacher says this is sophisticated enough, though I feel the opposite. I would like an opinion on this topic and whether I can do anything else to make this topic more sophisticated. Th…
Last reply by Lynn Gweeny, -
- 3 replies
- 629 views
Hi, For my homework, I need to solve the following question: Given that cos a = 4/5 and cos b = 7/25, find the possible values of cos (a+b). What I have done so far is this: Using compound angle identites: cos (a+b) = cos a cos b - sin a sin b Therefore: cos (a+b) = (4/5)*(7/25) - sin a sin b I now used a calculator to find the values of cos a and cos b to find the values of sin a and sin b. Thus: sin a = 3/5 and sin b = 24/25 Then substituted back into compound angle formula: cos (a+b) = (4/5)*(7/25) - (3/5)*(24/25) Simplifying gives me 28/125 - 72/125, and thus cos (a+b)= -44/125. Then I found the angle cos (a+b) …
Last reply by astonky, -
- 1 reply
- 588 views
Hi guys, Im currently living in Slovakia where we have a slightly different education system to the one in England, specifically we go to school later than kids in England and so finish school much older. I am 15 now and in MYP 3, next year we are moving to England and I have already been accepted to an IB school. Unfortunately they wont let me into the MYP and are sending me straight to the IB. I am going to take HL Math (I need it for what I want to study at uni). I am going to skip 2 years (MYP 4, MYP 5) and finally coming to my question: What should I do to prepare for HL Math? Are there any review guides which would fill in the missing knowledge? Any that you c…
Last reply by SC2Player, -
- 4 replies
- 459 views
Hi I am a student and we just started to choose our ee topics. I was thinking of writing a Math EE. Im thinking of writing about vectors. so my topic is "The role of mathematics in missile defense systems" im trying to link it with vectors, trig, and some calculus so i can come up with an equation to actually shoot down missiles given the speed and location of the enemy missile. Could you guys give any advice or comments on the research question or the idea?? Thanks
Last reply by Choi Changyu, -
- 1 reply
- 1.1k views
Hi, for my IA I was thinking of doing the hat check problem. Essentially it goes like this; group of men walk into a restaurant checking in n number of hats at the door. The restaurant mixes the the hats up and as the evening is over, each man is randomly given a hat from the pile. What is the probability that no person gets their hat back? Suprisingly, the answer is 1/e. I am a math Sl student. I figured HL/further math students would likely recognize the problem. If anyone is familiar with the problem could you please elaborate on whether this is SL level or above. I have found some explanations rather complicated and wondered whether it was ultimately worth i…
Last reply by kw0573, -
- 4 replies
- 959 views
I'm really struggling to decide whether I want to do HL Maths (Statistics) or HL Physics for my final exams. I'm pushing the deadline on when I can decide my HLs. The advice I've received so far is do whichever subject I enjoy more but, the problem is, I love both subjects! I am set on doing HL Chemistry and Economics, and think doing 4 HLs would be a waste of energy. I've been doing extremely well in both subjects (I received the single Year 11 distinction in both). My grades have consistently been better in Physics, but my grades have really started picking up in Maths over the last semester. (I was going to choose based on my Year 11 exam results, but then I luck…
Last reply by Ludwig S, -
- 2 replies
- 673 views
So, I haven't actually started the IB yet, (I'm in PRE-IB, starting IB next year), and will be taking HL Maths. My maths teacher gave the the following question: "A CD has 10 different songs on it.The CD is put on shuffle and repeat, so no matter which song plays, any one of the 10 songs could be up next. What is the probability that at least one of the songs will be played at least 3 times before all of the songs have been played at least once." I NEED help with this question, or it will drive me crazy. So, i thought working out the probability of this NOT happening would be easier, and then just subtract that from one. So, for this not to happen, onc…
Last reply by kw0573, -
- 1 reply
- 627 views
I'm trying to figure out an appropriate difficulty level for my math exploration (i.e. what can be assumed knowledge). I know that anything in the HL core is fine, but will I need to define ideas from the option/further math topics, especially if my math HL class isn't doing that option (We're only doing the calculus option in class)? The IB just took out the matrices section from the core, and I really don't want to define what a matrix is again... Same goes for stuff like bijective functions, homomorphisms, and basic set theory (or anything in the options besides the calculus one). If it helps, my topic is on the relationship between complex numbers and 2x2 ma…
Last reply by kw0573, -
- 2 replies
- 2.8k views
So for my mathematics IA, I am doing a proof of a mathematical theory. However, because there are limited ways you can prove a certain theory, is copying the steps of a proof plagiarism? I did my research, I elaborated every step to why and how, and it is a higher degree of mathematics so I could not know how to prove this theory straight off of prior knowledge. The plagiarism aspect is very confusing to me because you don't necessarily evaluate the pros and cons to reach a strongly judgment like a historical essay, but rather to find a definite answer. I cited all my references, I understood then wrote everything in my own words, I only copied the steps of a proof. Just …
Last reply by ilovemath, -
- 1 reply
- 562 views
When taking Math HL Tests, the space given to us for working out the question is often too small for me. Especially when I make a mistake and have start over (I can't erase since I'm using a pen). So then I just show the work on my scratch paper. In the actual exams though, I won't be able to do this I think. I was wondering if other people have the same problem, or some advice. Thank you.
-
- 3 replies
- 7.9k views
Hey All, I'm struggling a bit with my IA topic. So I was stuck for quite a whole and somebody directed me along the route of Markov Chains. For those of you who don't know what that is, I found a really good explanation video here: https://www.youtube.com/watch?v=uvYTGEZQTEs (I just learnt it myself). This was recommended was Matrices were just taken out of the core syllabus (so it is one of those better topics to achieve a high grade in the actual Maths part) and the theory itself is not that hard to learn. Anyways, I found this whole idea quite interesting and I wanted to apply it to board games, more specifically, Monopoly. So I have been doing a ton of research …
Last reply by kw0573, -
I'm a HL student for maths, and we need to soon complete our IA's. My IA is about half complete but I'm worried about the level of maths contained in it. It's based on monte carlo methods, and I've just been exploring different methods of using it, such as integration. Whenever I read Journals, it just becomes too complex beyond my understanding, and it can be sometimes too difficult too understand for my own good. I was wondering what I could explore without making it seem like I've just copied a journal with understanding it. Some useful links for the topic would be quite helpful as well thanks.
Last reply by kw0573, -
-
- 1 reply
- 3k views
Hi guys, I am currently learning online with Pamoja, but all it gives are grades in percentage, no level grades. Does anyone know what is the percentage grade boundaries for math HL?
Last reply by SC2Player, -
- 1 reply
- 1.7k views
Does anyone know how and where I can obtain a copy of the solutions manual for the Fabio Cirrito book? I've searched everywhere and I just can't find it. I'd appreciate any guidance. Thanks.
Last reply by mac117, -
- 1 reply
- 674 views
Hello everyone, I want to do my Math IA about the nabla (or del) operator used in vector calculus. I'm interested in this because I'm going to study physics at uni and I heard that physics students will need to learn this at uni. So that is a factor that will keep me motivated to do this. However, I don't really know where to go from here. Should I just base my IA on explaining what nabla is and deriving it? Or is there anything in particular I can base my IA on? Thank you.
Last reply by kw0573, -
- 4 replies
- 3.4k views
Hi everyone! So i am currently studying math HL considering a math ia doing the enigma machine, since i am quite interested in cryptanalysis. But the more i research, the more i feel uncomfortable with it. Firstly i fear theres not much math going on in enigma machine, allow me to briefly talk about how the Enigma works. So theres this plug board connection 10 pairs of letters and leave the six of them be themselves (E.g. A connected to C and inversely C is connected to A. If B is not connected to anything it would just be itself B). And then theres three rotors to the resulted letter to go (in the case of A to C, C would goes into rotors). These rotors changes …
Last reply by Suki, -
- 2 replies
- 658 views
Could someone please give instructions or guidelines of how should i structure my ME? What should i write in intro, body and conclusion?? What are the bulletpoints? Help
Last reply by IB Math Helper, -
- 1 reply
- 568 views
So I have started my IA and it is based on calculating volumes of plastic used in packaged water bottle companies using calculus. I have calculated the volume of plastic in each of them, but I don't know what to do next. (volume of plastic = total volume - total water filled in bottle) My question is how do I go forward now, how do I include more maths, more concepts and ideas?
Last reply by SC2Player, -
- 2 replies
- 534 views
Hello, I just finished my Maths IA, and I included some maths beyond the syllabus. Is this ok? I have heard from the teacher that it is ok if the level of maths is used is beyond the syllabus, but has problems when one used way easy and basic maths. Thanks
Last reply by IB Math Helper, -
- 1 reply
- 1.8k views
Hi all. Recently, we were told to think of IA topics and write out a proposal for our IA. I am largely disinterested and unmotivated in most things maths, and as such I am struggling to get started. I've tried to convince myself that I'm interested in topics for exploration, but after a day they become boring and I move on to some other topic. A list of topics I've browsed through and found uninteresting/forgot about the next day: Fractals - Dragon curve Divergent series - Cesaro and Abel summation Lebesgue integration Computing: binary trees, algorithmic efficiency Topics I sort of liked but were too simple: …
Last reply by tim9800, -
- 5 replies
- 955 views
Hey everyone, I read a forum post from two years ago about Further Math HL, but I don't want to revive a dead thread. Is there anyone on the forum who is currently taking Furth Maths IB? Also, if there is anyone who has taken it and can give advice - that will be much appreciated. Thanks.
Last reply by SC2Player, -
- 1 reply
- 586 views
Hey, everyone. Starting my IA on the traveling salesman problem in terms of delivery on campus in our school. Has anyone explored TSP before? Do you think it's a good idea or not?
Last reply by IB Math Helper, -
- 5 replies
- 4.1k views
I obviously know that HL is harder, but what makes it harder? How would the questions differ?
Last reply by kw0573, -
- 2 replies
- 608 views
These are the two exercises I need help with is: Let x,y belong to R; if x-3+2i=3+y-yi, find the values of x and y. Show that z+z*=2 Re(z) and z-z*=2i Im(z). What is z* equal to if z belongs to R? if z belongs to iR?
Last reply by IB Math Helper, -
- 5 replies
- 2.3k views
Sorry for yet another IA help thread, but I seriously need some help deciding which topic to do my Math HL IA on. I've been thinking of doing my IA on types of cryptography, but my teacher shot down both of my ideas (RSA and Elliptic curve cryptography) saying they were too hard for an IA.I could investigate the modular arithmetic side of RSA encryption, but I'm not sure if that's enough. My teacher also suggested to me to find earlier methods of encryption, but I don't know how to approach such a topic.Other ideas I came up with are Gabriel's horn, but my class didn't learn integral calculus yet so I basically have to each myself in a week. I also thought about just pick…
Last reply by JustanotherIBstudent, -
- 1 reply
- 535 views
In the subscription choices, part of the contact info field is "Which role best describes you". I'm a student but i'm thinking about saying im a teacher. I guess i just wanna know if the roles i choose have an effect later on after i bought it Thx in advance
Last reply by kw0573, -
- 0 replies
- 385 views
I'm buying math question bank and it asks me "what best describes you" and there are many options. I'm a student but should i choose teacher to have the same access or does it even matter what i choose?
Last reply by Needforsuccess, -
- 7 replies
- 2.2k views
Hey guys, could anyone help me with this question because right now I really really dont get it and I hate it when I dont understand stuff so I thought I could ask here hahah tysm!!!
Last reply by kw0573, -
- 2 replies
- 2k views
Hey everyone, Could you please help me on the following question? Solve the following system of equations. logx+1y = 2 logy+1x = 1/4 I understand how to start ie. (x+1)2=y (y+1)=x4 Then, (x+1)2= x4-1 Can you explain the steps I need to do next to solve the equation. I found the answers, but I don't understand how anyone would procede from where I stopped. x = −1, not possible x =1.70, y = 7.27 Thanks for your help
Last reply by IBTopper, -
- 0 replies
- 462 views
Hi Guys, Just want to take a moment to share that me and my friend in Maths HL have created a snapchat helpline for math problems. You can send your math problems that you are facing problems with and you will most probably get the solution in less than 24 hours. It's free, as we genuinely want to help people and discover new and amazing problems! You can add us on Snapchat: Username: snapmathematics Good luck
Last reply by IBTopper, -
- 2 replies
- 2.2k views
Hey guys, I was wondering if Fourier series and analysis is a suitable topic for the math investigation for HL. I wanted to investigate Fourier and music, maybe something to do with modeling consonance/harmony or how it applies to different types of music. However, my math teacher believes the math is a little challenging and needs extensive explanation of physics concepts. Has anyone experimented with Fourier before, what kinds of approaches have you taken to fourier? do you think this could make a good IA? Thanks Layla
Last reply by LolzDoingIB, -
- 6 replies
- 840 views
Hi, can anyone help me with this task: Given that the domain of the function 3x/(5+x^2) is x>=a (x is greater than or equal to a), find the least value of a such that this function has an inverse function. The answer is supposed to be a=sqrt(5) (or 2.24), but I don't seem to understand why Thank you very much
Last reply by Nemo, -
I am pretty good academically . getting a predicted of 39.I wanted to go to Oxford / Imperial to read Maths. I am convinced I can do it because I got something like 72 in the 2015 MAT ( The counseling office proctored the mock). I was predicted a 6-7 by my last Maths teacher.And because I bombed the first summative test this year by getting a low 6, she is gonna give me a 6! Totally ruining all my chance to go to my dream schools. I try to reason with her, but she just won't budge. What should I do now ? Is there any chance I can persuade her to give me a 7? (Otherwise I have to wait for the November update, and have to get literally 18 or 19 out of 20 for the IA and get …
Last reply by IBTopper, -
- 1 reply
- 1.5k views
The normal to the curve y=(k/x)+lnx^2, for x≠0, at the point when x=2, has the equation 3x+2y=b. Find the exact value of k. k and b are real numbers.
Last reply by IB Math Helper, -
- 2 replies
- 486 views
Hi, can someone please help me solve this problem? It is part of the HL Option Statistics and Probability
Last reply by IBTopper, -
- 11 replies
- 5.6k views
Hi! I need help to find a good topic for the ib Math exploration HL. I want to have a 20/20 mark. PLEASE HELP MEEE!!!! Let´s do a brainstorm together!!! All the answers are ok. You don´t need to think a lot. THNAK YOU.
Last reply by TheNintendoChip, -
- 4 replies
- 545 views
Hi, I have two homework questions on complex numbers that I don't understand how to do. Could you please show me the exact steps (I have more similar questions, so I can practise regardlessly) and why you do each step. Thank you very much. Here are the questions: Find the complex number z that satisfies these equations: (z+1)i = (z+2i)(3+2i) Solve for z is a Caresian number: (modulus of z) -z = 4+3i
Last reply by haese225, -
- 1 reply
- 1.6k views
PLEASE I NEED ADVICE....
Last reply by kw0573, -
- 0 replies
- 573 views
I just need suggestion if Gabriel's Horn is a good Math HL IA exploration. Please i need Feedbacks
Last reply by Aly.em, -
- 1 reply
- 18.7k views
HL Mathematics Pearson Baccalaureate 2012 authors: Ibrahim Wazir, Tim Garry Anyone have the solutions/explanations manual to this Math HL textbook?
Last reply by Vioh, -
- 4 replies
- 805 views
Hey, I'm kind of freaking out right now because I have two weeks to decide on my 6 IB subjects, 3 HL and 3 SL, so bear with me. I want to study in Upenn Wharton School. I'm good at maths, I am. I usually got high 90's in the previous years, between 93-98 most of the time. I like learning, too; and my professor always used to tell me to get HL when I start IB. I'm 100% sure that SL is too easy for me, but HL might be too hard. My school offers only these two . I don't know if I can do Math HL, I really really want to do it but started doubting myself after reading stuff on the Internet and after everything I heard from my older friends. On the other hand, if I …
-
- 3 replies
- 2.6k views
Okay, I am from BC Canada, and starting IB soon, and while I did sign up for math hl, I am required to write a placement test. My coordinator has emailed me saying that the test is based on Pre-Calculus 11. I couldn't find any useful content for prep or any information regarding this test online. I have simply been told to write one which I won't need a calculator for. If anyone has written a placement test for math hl, or know about it, please answer the following: What is the format? (Written/word problems etc.) How long is the test in terms of amount? (I have been told one hour, but it's still not clear to me?!?) What happens if you do not meet their e…
Last reply by Jaysun, -
- 6 replies
- 1k views
Hey guys, I'm currently doing my research for my HL Maths IA, which is about the free return trajectory of a space shuttle that is fired from Earth and curves around the Moon to return back to the Earth. However, I can't find an equation that will tell me the time it takes or the distance that the space shuttle travels in its orbit. So, I was wondering what the equation would be or any other way or finding the distance/time, as I can't find it on the Internet anywhere? Thanks a lot!
Last reply by kw0573, -
- 1 reply
- 713 views
If Z~N(0,1), prove that for positive k: P(|Z|<k) = 2 - 2Φ(k). I'm pretty certain the 2 - 2Φ(k) part comes from symmetry with the distribution if Φ(k) is negative. Pretty tough question but here's my working. Hoping someone can develop this further... Thanks
Last reply by kw0573, -
- 5 replies
- 5.7k views
Help with this calculus problem please A 5 foot girl is walking toward a 20 foot lamp post at a constant rate of 6 ft/sec. The light from the lamp post causes the girl to cast a shadow. how fast is the tip of her shadow moving? Quite confused with the fact that the girl is moving towards, so is it minus? I would love it if there would be an explanation! Thank you
Last reply by Vioh, -
- 2 replies
- 3.1k views
How can we solve this problem????? An open glass is created by rotating the curve y = x2, defined in the domain x [0, 10], 2π radians about the y-axis. Units on the coordinate axes are defined to be in centimetres. (a) When the glass contains water to a height h cm, find the volume V of water in terms of h. Thanks
Last reply by Vioh, -
- 1 reply
- 882 views
I am going to study AI in the university. I wonder which option will be more suitable for me? Tbh, calculus is relatively easier to me but my teacher told me that statistic is more useful for AI. I could not decide it!! PLS HELPPPPPP
Last reply by Vioh,
