Maths HL & Further
For HL and Further Maths discussions
1,168 topics in this forum

 1 reply
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I am just finishing off my maths IA and I am really stuck on my conclusion and my evaluation at the end. My aim is to compare the correlation between diabetic deaths and oil and fats intake between China and Portugal. Can someone give some suggestions of what I can take about??? Thank you so much
Last reply by chayledensing, 
 1 reply
 1.7k views
I am thinking of doing pure maths for my HL IA, and more specifically have to do with proving a theorem. I was inspired by the example IA of Proving Euler's Totient Theorem(http://xmltwo.ibo.org/publications/DP/Group5/d_5_matsl_tsm_1205_1/pdf/example02_e.pdf) and I want to do something similar for another theorem.
Last reply by Kaito, 
 1 reply
 1.4k views
Hello, I have written my IA on complex numbers in which I included the "Phantom Graphs" and DeMoivre's theorem. We have had our first draft and my teacher told me what I thought she would, that a) the ideas don't connect and b) its not long enough. I have a couple weeks to complete it and I am panicking as I have no idea what to do with it now. I would like to add some information about the applications of hyperbolic functions of complex numbers and something about Euler's formula, but I don't know how to do it. I know I can't just write out proofs for all this as I might as well have copied that from a book. And so what do I do with the hyperbolic functions?
Last reply by kw0573, 
 1 reply
 597 views
So I am testing in HL Math next year and I am taking AP Calculus BC this year. I am trying to find a textbook or online materials that will help me prepare for the class over the summer. I am trying to find something that is reliable and hopefully not expensive. If you guys could let me know good study materials or things that you did that worked for you I would be very grateful. Thanks!
Last reply by kw0573, 
 8 replies
 756 views
Hey guys, I was sick and missed some math classes. Here are two questions that I can partially solve them but not for the second part. It would be great if some of you could help me with the steps and process. For this question, I got that when x=0.4, y=1.573, but I don't know how to justify whether the approximation if greater or smaller than the actual value. For this question, I found that the Maclaurin series is ln(2) +1/2x+1/8x^2. I wonder how could we use this to solve part b.
Last reply by Destiny of Pi, 
 1 reply
 605 views
Hello people, I know I will sound crazy/weird, but is it possible to selfstudy HL mathematics? My school does not teach the HL math, and so I am 'stuck' with SL. I really enjoy maths and I am quite pretty good at it. Also, I want to be a chemical engineer, so HL Chem, Phys, and Math are highly recommended. I am already doing HL Chem and Phys, which is satisfactory for most of the universities, but I really feel like I should also do HL Math. Thank you for your answers
Last reply by kw0573, 
 1 reply
 512 views
Hello! I am writing EE in mathematics HL and my question is" What is the legacy of Archimedes’ calculations of circular and parabolic areas in today’s methods of integration?" I just started with writing and it looks like I won`t have enough material for 30004000 word essay .So I tought to somehow extend my research question that relates to application of integrals in real life? Or maybe somehow connect it with physics? Is my question generally good for EE? I need your suggestions! Thanks in advance!
Last reply by kw0573, 
 0 replies
 646 views
Hi there, I just need a bit of guidance regarding my math IA topic. I was thinking of maybe calculating the rate of change of the depth of water in my bathroom sink if there is a dripping tap and also calculate how long until the sink overflows. I will also have to model my complexshaped sink and calculate the volume of it, would be good since I will be also using geometry. Is this a good topic for my IA? How can I further expand this? Thanks!
Last reply by Husky123, 
 1 reply
 1.6k views
Hey, I'm thinking of possibly talking about the Rubik's cube for my HL math IA. I've done some research and saw that I can apply the group theory from the option topic (sets, groups and relations) but I'm not quite sure what I can exactly talk about in my IA. Thanks!
Last reply by mac117, 
Hello, I am looking to study civil engineering (and eventually environmental engineering) in Germany (no specific university). I currently take high level physics, ITGS and mathematics in IB1. However, I am not the best at the type of math I am studying and as a result I got a mid4 on my mid term exam. On the first term I got a 6/7. Although these grades seem sufficient, I personally struggle a lot with the material and know my situation is only going to deteriorate as material becomes extensive and more difficult. I would like to ask if high level mathematics is absolutely necessary in most German universities for engineering, because…
Last reply by n.ero_, 
Help me with my math IA topic
by Guest 4 replies
 1.6k views
I am thinking of doing my IA related to tesseract 4D cube but I'm not quite sure how to make this mathematical concept suitable to IA. Will it be possible to discuss about how to draw a net diagram of tesseract or is that to vague and not mathematical enough for HL IA? Any other possible topic suggestions? Please help me. I NEED HELP!
Last reply by Vsu, 
Tense when writing IA
by Guest 0 replies
 674 views
I have started working on my IA, and I am not sure which tense I should use. I have heard that using past tense will weaken my argument because apparently in that way I am making my argument only valid in the past, not in the present. Is that true? Then should I use present tense throughout the entire IA?

 0 replies
 459 views
I have chosen a topic related to queues for my math IA. Previously, I wanted to correlate time with the amount of people coming to our school cafeteria and see which distribution it would follow, but I realized that this result would be meaningless. After that, I changed it a little and wanted to use math to optimize the line arrangements in our cafeteria. Using information about queueing theory I found online, I have the formulas to calculate the estimated waiting time for every counter, of which I can use to calculate how many counters our cafeterias would need as well. This is also the only thing about queueing theory I can understand. Can someone give m…
Last reply by david fan, 
 1 reply
 496 views
Basically, I thought I had some really good mathematics in my IA but it turns out that one of my equations was wrong and I can't use that method anymore. However, I still want to show that I have understanding of complex mathematics and I don't want all the work I did to go to waste (I integrated a really gross equation with decimals by partial fractions). Would it be okay for me to present the entire process I did ("I started with x method but I realized it didn't work") so I can still show that work, or would I just seem like an idiot for not realizing the equation was wrong and still putting in so much work to integrate it? Bonus question: Do title page and biblio…
Last reply by kw0573, 
 2 replies
 1.5k views
Hi friends, Following up from my previous post, I talked to my math teacher as I found an egg shape building, and what I'm planning to do is model the building by volume revolution from a curve, and then maximise the space inside. However, I don't really see the HL part of this and it seems like something SL could do as well. Any ideas on what kind of math I can include to make it more suited for HL? Thanks for your input!
Last reply by kw0573, 
 0 replies
 580 views
Hello everyone, i am a Math HL student and our teacher is askingus to creat topic proposals for our IAs. Since the level of mathematics used is very important, i want to apply calculus in my ia but i couldnt think of an interesting topic similar to that of modelling rainfall in the sample IAs. So id like to ask for your help and suggest some interesting topics that uses calculus. Thank you!
Last reply by CJeremy, 
 1 reply
 810 views
Hey, so I really need to get started on my mah IA, and I'm really interested in the area of architecture. However, I'm really unsure and have gone to my teacher a few times but i still feel really lost. Basically, I have some unique shaped buildings, my teacher suggests that I try and maximise the space within this particular round building. Does this sound too simple for HL math? Initially, I had a twisted building and I was going to calculate the volume loss, but I have no clue how thats going to work. My teacher had said it would be a good idea but then she asked me to do the other building. Which idea sounds better? This is probably the hardest thing I've e…
Last reply by Lixter, 
 0 replies
 482 views
Hello, I am doing my Maths exploration on complex numbers and I am about half finished and I want to explore the trigonometric and hyperbolic functions of complex numbers as well as the integration (and possibly logs) however I don't quite know what to do with it. As I can find the cos of a complex number but what then? Roots can be shown on an Argand diagram but the trigonometric functions usually just give rise to triangles with legs longer than the hypotenuse and complex angles. Could anyone advise me on how to proceed?
Last reply by Saguaro, 
 2 replies
 1.1k views
Hi everyone, I'm struggling with my calculus homework on the rates of change. I have a number of problems I need to do, but I don't understand at all how to solve them. For the example below, could someone please walk me through the exact steps (and why you're doing them)? A spark from a fire burns a hole in a paper napkin. The hole initially has a radius of 1cm and its area is increasing at a rate of 2cm²/s. Find the rate of change of the radius when the radius is 5 cm. Thank you very much in advance for helping me out.
Last reply by astonky, 
 1 reply
 1.4k views
Hey guys! So I had an idea about my math IA and discussed it with my teacher who seemed to like it but I still have some concerns. My idea is essentially modelling newtons cooling curve and then use calculus to turn that curve into a linear equation and use linear regression and squares to find the line of best fit however I feel that the idea is not complex enough and does not go "beyond" the HL syllabus as I have seen with some other IAs
Last reply by kw0573, 
 1 reply
 991 views
I have been trying to find any idea at all, I want to do it on Calculus. I have tried looking online for ideas but I never really know how to go about doing it on that topic. For example, I saw something on e but I could not think of what to do, the site mentioned that its infinite series contained both sine and cosine, but I couldn't see where I could take that. I appreciate any input or ideas, thank you.
Last reply by IJustWanaPass, 
 4 replies
 843 views
So I am in grade 11, and I have done about 6 months of HL math and I am struggling, I dont know how to study and how to push my grade up from a 3, I am fairly good at math but I just dont know how to prepare for the questions we see in the unit tests and quizzes. Our school does tests every unit. Please gimme some solid tips.
Last reply by KingCaptain, 
 11 replies
 1.7k views
Hey guys, I don't really get the concept of improper integral and here are two questions I couldn't solve. If any of you can show me the steps of how to solve it, that will be appreciated. Thank you! I think for question 9, a, it means 1/(1+x^2)
Last reply by kw0573, 
 1 reply
 4.3k views
Hello, I'm in the first year of the IB and am writing my maths IA. As we aren't going to learn about complex numbers until much later I was allowed to write my IA about them even though they are in the course. I would like to include applications or uses of complex numbers, for example, Euler's Formula, fractals, De Moivre's Theorem or possibly some other applications (I have yet to do more research). My problem is that in order for the essay to be understandable to my target audience ie. my classmates who have not learned about complex numbers yet, I will have to include addition, multiplication, division of complex numbers as well and I'm worried that it will just look …
Last reply by kw0573, 
 2 replies
 1.9k views
hey guys, is it a good idea for me to do the laplace transform for my Math HL IA? I'll base it on simple harmonic motion of bungee jumping, and I need your feedbacks whether this is a good topic or not. There will be some out of the syllabus stuff, but it involves integration by parts, algebra and some basic stuff. I'm displaying the concept in an amateur way. Thoughts?
Last reply by Vedant Agrawal, 
 1 reply
 5.5k views
At the end of this year our teacher introduced IA to us and we had to start exploring the topics that we are interested in. As I am planning on pursuing biomedical engineering, I wanted to apply math into our body. Therefore, I liked the idea of math in biorhythms. The plan is I will convert the sine curves of the biorhythms for 3 strands (intellectual, emotional and physical) into co secant curve and then apply integral calculus to find the area under the graphs. But then I dont know if thats enough for HL Math IA requirements. I WOULD BE VERY THNAKFUL IF YOU GUYS COULD HELP ME OUT WITH THIS. Plus does anyone know how to create a biorhythm by hand??
Last reply by kw0573, 
 0 replies
 1.4k views
Hi! I am tasked to complete a draft IA. And I thought of doing a model for traffic jams. Did my research which brings me to traffic flow theory which is super complicated and hard to understand. Anybody has any experience in this? Could you share with me some notes or tips? I also did think of finding a new topic which is killing me so bad. Any ideas?
Last reply by Nicholas, 
 9 replies
 699 views
Hey everyone My topic for Math IA is applying Fourier Transform in signal equations. I've narrowed down my search to digital, even, odd signals. i've given a small introduction about Fourier, explained the signals and their formulas and how they work. I've explained the Fourier Transform and it's properties, BUT I am not planning to include anything about graphs or frequencies since I would run out of pages. All I have to do is write about my engagement and the applications So I have 2 ideas for the application part and I don't really know how to style it. 1. Solve SAT like questions with signals and transforms (prefer this one) 2. Discuss how it is appli…
Last reply by IJustWanaPass, 
 1 reply
 829 views
Hi guys, I have come across with some confusion of how to solve a question that asks you find the shortest distance from a point to a plane. For example, find the shortest distance from the point, P (1,2,3) to the plane 3x +y 3z = 9. I've seen two methods to solve this question and they yield me with different answers. Method 1: dot multiplies the point and the normal vector and then divide by the magnitude of the normal vector. Method 2: first find the shorted line equation which is (1,2,3) + landa (3,1,3), and then substitute the x, y, and z values in the normal vector equation to find landa. Then multiply landa with the normal, and find its…
Last reply by kw0573, 
 4 replies
 1.2k views
I'm a firstyear IB student taking Maths HL and our class is currently using the Oxford textbook (the one with the purple flower on the cover). Personally, I find that the explanations/examples are lacking in this book which is a real problem since I practically have to selfstudy the subject because the teacher is crap. Also, lots of people say the questions in the Oxford book are a lot easier than the questions on the actual Maths HL exam. I have every Maths HL textbook on PDF so getting them won't be a problem. I just haven't gotten the time to reference any other book besides the Oxford one since the class progresses really fast. Please leave your textbook recommendat…
Last reply by SC2Player, 
 1 reply
 1.3k views
Hi everyone, I found an interesting maths IA topic that really interests me but found out that someone is using the same topic for her extended essay. So can I use the same topic for my IA? Thank You!!
Last reply by SC2Player, 
I am currently thinking about Math IA on the topic of graph theory, but I don't know what to choose from there. I would like to do Dijkstra's algorithm and would like to know whether it would be complex enough for HL. I am thinking about the question of geographical traversal and finding the shortest path from London to Moscow using roads and cruises to cross the sea.
Last reply by SC2Player, 
 1 reply
 647 views
Hi, I'm just looking for a topic for my exploration and would like to do something to do with Eulers identity but I'm not quite sure what, maybe some applications , but I dont want to make it just look like a textbook explanation of it. It has to be suitable for the HL curriculum, does anyone have any ideas? Is investigating Eulers identity even a suitable topic?
Last reply by kw0573, 
 1 reply
 861 views
I was into robotics for a long time and in robotics, we often use PID (Proportional Integral Derivative). How should I do a Maths IA with PID?
Last reply by kw0573, 
 0 replies
 421 views
Can someone please explain how to figure out what happens to the function. For example if it is sin(infinity), e^infinity, 5/infinity, etc.
Last reply by IJustWanaPass, 
 5 replies
 3.9k views
Would finding the surface area of a hyperbolic paraboloid surface be a good enough topic for Math HL IA? I figured that I could use a pringle chip as my main reference for measurements and I could evaluate on the different ways I can approach the calculation (i.e. instead of using hypothetical measurements to find out the a and b variables of the hyperbolic equations I could graph out the x,y, and z plane individually and find out the variables from there). This involves multivariable calculus which is a topic that is outside of the syllabus, but I'm afraid that it will be too short of an exploration as all I'm doing is calculating the surface area of the shap…
Last reply by kw0573, 
 1 reply
 2.1k views
I am trying to do a Math HL calculus IA on the flute and my outline is due in two days. I started by measuring the distance to the first open hole for each note fingering and graphing it on the x axis with frequency of the notes on the y axis. This gave me a quadratic function that can be differentiated to find the change in frequency with respect to distance (df/dD). I was hoping the differentiation would be a bit complicated but it's just the power rule since I got a quadratic. I am now trying to use related rates to find another rate of change, but I can't think of one that would be relevant. I was thinking of doing something with the volume of air required in rel…
Last reply by kw0573, 
 2 replies
 1.1k views
Hi to all! I have to submit my HL Math IA tomorrow (Hopefully I will get another chance to update the file), and I have two topics. One is Modelling climate change and the other is Fibonacci series. Idk which one to go ahead with and how to do the IA Please help! I prefer to go ahead with Fibonacci series since it is the easier of the two. I really really need help as to what to include in the IA. Also what format should I use I know this is super last minute, but procrastination got the worst of me
Last reply by samim, 
 2 replies
 536 views
Anyone mind helping me solve this integral? I literally have no clue where to begin.
Last reply by IJustWanaPass, 
 1 reply
 785 views
Hey guys, I'm getting a bit confused with the question. For part d, I used 24*30 = 720 to get the new expected value and the answer I got for d is 0.765. But e.i askes for E(Y), isn't it just 720?
Last reply by kw0573, 
 3 replies
 762 views
Hi guys, For the past couple of months I have been reading many students responses on Math Hl unit tests. Apparently, people say they are "shocking" and completely out of syllabus or whats taught in class. I this really true, please can someone give an insight as of what to expect on unit tests for math hl. A response will be highly appreciated
Last reply by samim, 
 5 replies
 1.9k views
I just got a 3 in a Math Calculus test. Is there any way I can still get a predicted 7?
Last reply by samim, 
How much harder will Math HL get?
by Guest TheMagical7 6 replies
 1.2k views
How could Math HL be preferable to Physics HL? I'm really just considering one of the two. At the moment for Physics HL I'm barely on a 6, and I have to read the textbook several times to grasp the concepts. (We finished Waves and Oscillations recently.)
Last reply by samim, 
 1 reply
 625 views
Hi guys, I am having trouble to figure out a way to solve the second part of this problem. If anyone could help, that would be great. The answer I got for part a is 10.3%
Last reply by kw0573, 
 1 reply
 1.1k views
I'm done with my math hl ia but it involves a lot of 3d geometry and stuff. I think I want to write it by hand I have a very neat handwriting and I can also draw the shapes. Can I do that or would it effect my grade negatively?
Last reply by kw0573, 
 3 replies
 2.8k views
Hi! So I'm doing my internal assessment of finding an optimal route through some points of hte city using the Chinese Postman Theorem. My math teacher says its okay, in fact, he suggested the idea of doing this IA. But I have half of my work now and I think that the math that involves are very easy, so I'm scared that I don't get a good mark because of that. I'm doing the option of calculus, and this is part of the discrete mathemtics, so it's part of the HL syllabus, but do you have any suggestion of how can I do my IA a bit harder? Or do you think it will be enough? Thank you!
Last reply by kw0573, 
 2 replies
 1.2k views
Is it just us, or do you guys also have Math HL and SL combined classes. The teacher complained about this, but due to everyone's subject choices, making HL and SL classes separate was impossible and it worries me because the teacher goes at a much slower pace during SL lessons and this makes me worried we wont finish the Math HL syllabus in time :/
Last reply by IB`NOT`ez, 
 1 reply
 1.1k views
I was thinking about doing my EE in HL maths and found some interesting topics like Rubik's cube permutations, golden ratio and beauty, what 'e' is, what 'π' is, and so on. One of my hobbies is coding (I also do HL computer science and know python), and on one website, someone said that you could involve coding in your EE. How exactly is this done? Has anyone done this before? Thanks, help is always appreciated!
Last reply by kw0573, 
 0 replies
 837 views
hi so, i am almost done with my maths IA, but i am unable to figure out how to get the pitch of a sound by using fourier series. I have an odd and even function, but i dont not know how to get the pitch of the sound. i know that i cannot use the simple 1/timeperiod, because of the discontinuities in the function. so what do i use? please help me.
Last reply by CherryB, 
 0 replies
 615 views
Hey! Could somebody tell me how to do the d) part in this question? Why is it LCM 2, 3, 5? How did they get 2, 3 and 5? Thanks in advance!
Last reply by Lynn Gweeny,