Maths HL & Further
For HL and Further Maths discussions
1,179 topics in this forum
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- 3 replies
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So I am hoping to take Further Maths HL as one of my IB choices, since I am really interested in the subject itself, and also achieved an outstanding grade in IGCSE Additional Maths. However, my school states that they have no plans to start a Further Maths class. Should I get a self-study/get a tutor, outside of school? or will it be too risky and a waste of time? I am planning to study Actuarial Science in university, and the course requires Maths HL only. So which option would be better? Further Maths HL outside of school, or Maths HL in school?
Last reply by gcapone, -
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I never took HL math, but I know that one of the options covered in HL math is on series, which is what I am currently learning in my math course, so I figured I would ask you lovely HL math students. We are at the moment covering convergence tests, and I am having some difficulty in applying the tests we've learned so far to determine if a sequence converges or diverges. The tests we have covered so far are direct comparison, limit comparison, integral test, ratio test, root test, and alternating series test. I know with the direct comparison test one compares the sequence in question with another one and uses the other one to determine whether it converges or not based …
Last reply by macrofire, -
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Hey guys, first post on IB survival. Been thinking about what I want to do my exploration into for my coursework. A topic that has come up a few times is computer science and the logic behind that. I was going to try to make a computer write an essay or create something, subsequently fail and explain using maths why a computer can't speculate or "fill in the blanks" to lack of knowing a better word. However I'm worried that this subject may be too vague and I'm worried that I'm going to go real deep into this to realise that I am writing an essay which is irrelevant to maths. Opinions on this would be appreciated, thanks.
Last reply by ChocolateDrop, -
Question 1 How would one create 3-D angles in R3? Question 2 Could there be 3-D trigonometric functions (for the tetrahedron) and how do they relate to 3-D angles? Question 3 Are there simple parallels between 3-D angles and 2-D angles? 3-D trig functions and 2-D trig functions? Question 4 Can we create complex angles (imaginary angles, superangles...etc) that can be mapped onto some number larger than 1 or smaller than -1 using the sine or cosine? Question 5 Can the results of question 4, if any, be extended to 3-D angles and 3-D trig functions?
Last reply by Fermat, -
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Hey there, has any one gotten a mathematics hl type 1 portfolio on roots of unity, complex numbers?
Last reply by Zostale, -
When to use the calculator?
by Guest vicizmax- 4 replies
- 926 views
When doing tests or extra credit exercises for my Math class, I often lose points, or end up losing a lot of time because I do not know when (or sometimes how) to use my calculator. The "how" I still have time to learn! The "when", however, is what gets me every time. Naturally, Paper 1 is with no calculator, so that is easy enough. In Paper 2, however, there are sometimes questions that I later find out I could have used my calculator to find the answer to. I have always been used to working out the answer, and using my calculator to a minimum. So it's a bit of a hit to have to look out for when to actually use it. Once, I wasted 5-7 minutes on a question because of it. …
Last reply by Geldyn, -
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I just wanted to ask if taking 'The Tower of Pisa' as a topic for my maths IA, is a good topic or not?......
Last reply by Anonymous dude, -
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Okay so I am doing my portfolio and it already is 55 pages and I am afraid it could come close to 100 pages(graphs are about half a page). I know this is unusually long, would my marks be deducted for this ? I know there is no criteria for word count or any restrictions on it, but I am scared.
Last reply by Raj Kumar, -
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Hi, I'm currently working on the portfolio for patterns in complex numbers (Type I). I've heard that Autograph would be a good choice to use as my graphing software, so I downloaded it. However, I cannot seem to understand how to use it. The interface looks very straightforward to me, but I'm getting confused. How do I plot complex roots on an Argand diagram, join the roots with line segments and calculate its length? So far I've set up a polar 2D graph and added a unit circle using the equation r=1². I've managed to add in the three roots of z³-1=0 using the "enter co-ordinates" function. How do I add line segments from two points? Or am I doing this completely wr…
Last reply by Zostale, -
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x3 – 19x + 30 how do you factorize this polynomial ?
Last reply by macrofire, -
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So, I know that doing the question bank/past paper questions is really good practice for maths - which I should probably be attempting to do more of. But my issue is that I'm concerned that if I just skim over a lot of questions now and then read the mark schemes, then I'm not really 'saving' any proper examination-style questions for later exam preparation. I know that I should probably be practising anyway (and doing it properly without being too hasty in looking up the mark scheme), but should I, at this half-way point in the course, be aiming to look at questions from different non-IB sources as well? My other issue with doing past paper questions is that our teacher …
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Urgent HELP!
by v__r- 3 replies
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I'm stuck in this question i really really need to know how to solve it! The sum, Sn, of the first n terms of a geometric sequence, whose nth term is un, is given by Sn = 7^(n -1) -a^(n)/7^n , where a > 0. (a) Find an expression for un. Un= 7^(n -1) -a^(n)/7^n - 7^(n-1) -a^(n-1) /7^n (b) Find the first term and common ratio of the sequence. ???? © Consider the sum to infinity of the sequence. (i) Determine the values of a such that the sum to infinity exists. ???? (ii) Find the sum to infinity when it exists. ???? Thank you in advance!
Last reply by Meat, -
It's been bugging me for a while but, why is it when you differentiate the area of a circle: πr2 is the perimeter of a circle: 2πr? How come this pattern is not the same in other shapes like squares? When you differentiate the area square: length* width, you do not get the perimeter 2length + 2width. Any suggestion to why this is? My maths teachers, (and other maths teachers) are baffled as well. Thanks in advance
Last reply by Peanut Butter Jelly, -
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So, I have to finish a practice report on binomial coefficients within a few days. I managed to get halfway through, but I'm hopelessly stuck on this question: There is a formula connecting any (k + 1) successive coefficients in the nth row of the Pascal Triangle with a coefficient in the (n + k)th row. Find this formula. The math doesn't seem that hard, but I think I'm interpreting the question wrong. Any help would be greatly appreciated.
Last reply by nabillionaire, -
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I have some questions regarding the logistics of Math hl external assesment. First question is in paper 1, can I exceed the given lines? If I exceed the lines, am I penalized for it? Second question is "are we going to be given scratch papers? If we are given scratch papers, can we use pencil in scratch papers? Third question is can I use ruler while doing all papers? Thanks in advance for the answers.
Last reply by The Economist, -
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Hello, I am currently in a path to take Math SL (next year I suppose), and I am taking Pre-Cal right now, my junior year. Does the Math HL course assume that you have already taken Pre-Cal sophomore year or is the subject material different from that of a basic SL course? I am interested in a dual major in Economics and Math so I am trying to figure out what will be in my best interest. My other classes include History HL, Economics HL, English HL, Physics SL, and Spanish SL.
Last reply by KeyGrip_Chris, -
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does math hl necessarily need tutions ??
Last reply by Brenda Wijaya, -
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I know it depends on the person. But which one do you feel is relatively simple? And doesn't involve very vague calculations.
Last reply by iHubble, -
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Hi guys, I'm currently doing a retake on my Math IA to get me an extra 2 percent on my grade which would get me a 7. Problem being that that means both my IA's have to be at least 18 after moderation, preferably above. At the moment I'm struggling with the type II criteria. I'm working on the IA "Running with Angie and Buddy". For Criteria C for a level 4 and 5 it requires that "The student considers how well the model fits the data." and "The student applies the model to other situations.". For how well the model fits I guess i can comment on its accuracy and limitations, but since there's no hard data to compare to, is there anything else? How can I apply my model to ot…
Last reply by iBS2012, -
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Hey guys, I have a quite random question. So last week in class we were talking about calculus in my math class and my teacher mentioned that there is a field called fractional calculus (nothing we will cover but it's out there) and it made me wonder... What is one half derivative for example? It doesn't make much sense to me. If you think of derivatives as the slope of the tangent at a certain point, how can you then take half of a slope? And what use is it? I have read about it on Wikipedia http://en.wikipedia.org/wiki/Fractional_calculus but it's still not clear to me. I know this is not a very common toppic but I was just wondering if anyone here knows a little more…
Last reply by Fermat, -
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i have just started the IB curriculum and have my exams in 2014. do you have any good resources or tips that would help me survive IB math though out this curriculum ? i have already started to regret my choice ! :'( thankyou
Last reply by sachinkotecha, -
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Is there anywhere I can find a simple checklist or things that should be included in the portfolio, including an introduction and not just the actual IA work etc.? I saw one on here somewhere but can't find it and need it tonight, my IA has to be in tomorrow. Cheers.
Last reply by Onthecontrol, -
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i could not solve this sum..i if you could help.. when the polynomial p(x)= x^4 + ax + 2 is divided by x^2 + 1 the remainder is 2x + 3. find the value of a. any kind of help would be appreciated!
Last reply by macrofire, -
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I came across this IB question on a proof for Poisson distribution and I'm stuck as to how to approach this. I tried expanding the right side but I'm stumped as to what to do with the sigma:
Last reply by The Economist, -
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Hi guys! My math IA (type I, teacher said it's about complex numbers) will start September the sixth and I'm a little worried. I've done a practice IA in pre-IB and got 15 points, but that was an SL IA and the teacher was very generous with marks because it was just a practice IA. Are there any tips you could give me so that I could score high (i.e. 17+ )? Are there any common mistakes which I shouldn't make? Any help from an experienced person would be appreciated .
Last reply by The Economist, -
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could you suggest some math HL books which would help you understand concepts better ?
Last reply by Mahuta ♥, -
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I took IB Math HL Year 1 sophomore year with the plan of taking Year 2 then Further Maths senior year. However i got pretty low grades. aAso we did all the AP Calc material in Year 1 and i took the AP test and did poorly. My guidance counselor says even if I continue with Year 2 this year there is a chance I would have to take HL test after senior year either way. I'm going into the diploma program this (junior) year. I was planning on retaking Year 1 to save all the problems. Is this wise? How bad would it look to universities? (us student)
Last reply by GirlwiththeBlueBox, -
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Hi everyone, I just received my maths IA about complex number. In part A, one of the instruction is: "prove your conjecture" What does it mean exactly? Are we supposed to find a formula or something? Thanks a lot for your help! I appreciate it
Last reply by macrofire, -
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Always wondered
Last reply by Zarathustra, -
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What do rigid motions in Octonion look like? What about the ones that fix zero?
Last reply by macrofire, -
Hi. We got our first IA tasks in math HL last week, which is "Modelling a functional building" and I have a couple of questions about it. Since i have never done it before and our school isn't very experienced in IB yet, i figured i'd ask for help in here.. 1) Is there a maximum word limit for the task and if yes, what is it? I have about 3000 words already and I think I have barely covered half the task. I'm explaining everything quite thoroughly but I think all I write is quite relevant and without it it would be to superficial or hard to understand. 2) How much do you need to show your calculations? Do you need to show steb-by-step how you substitute, deduce and simpli…
Last reply by Shahad, -
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And also, do the IA tasks change each yr?
Last reply by Beni, -
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f(x) = x/5 0 ≤ x ≤ 2 8/(5x^2) 2 ≤ x ≤ 8 Thanks
Last reply by The Economist, -
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what is the best way as mathematical method for the dice game? like table？tree diagram? also, what is the best way to calculate the probability of the dice game (according to the tree diagram?) also, can anyone please share their dice game profolio for me to look at, or anything relevant? thanks.
Last reply by The Economist, -
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If I'm planning on going to medical school, which IB math option will be the most useful to me. Statistics and probability Sets and relations Discrete maths
Last reply by The Economist, -
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As a homework we've been asked to prove Moivre's theorem through induction. Can anyone help me out in this?
Last reply by iHubble, -
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I can't work out how to start answering this particular question. Any help would be appreciated.
Last reply by aldld, -
guys im having real trouble plotting the roots of the equation Z^3=1. Which software should I use (having troubles with AutoGraph). And please provide steps on using your specified software. Preferably it is Mac compatible... THANKSSSS. really need help
Last reply by Sandwich, -
- 2 replies
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Whats is the line equation of a line in terms of ax+by=c When the vector equation is: r=(1i+2j)+t(-2i+3j) where t is a scalar And if you could tell me the method as well please do thanks
Last reply by aldld, -
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So, we just recently received textbooks (Haese & Harris) for our math HL class, and just flipping through it, I came across what I believe to be a (rather major) inaccuracy with regards to the statement of de Moivre's theorem. The textbook states that Rational being the key word here. However, if we assume that this is true for rational powers then the formula is no longer well-defined. For example, cis(0) = cis(2pi) cis(0)1/2 = cis(2pi)1/2 cis(0/2) = cis(2pi/2) cis(0) = cis(pi) 1 = -1, a contradiction. The books "proof" of de Moivre's theorem for rational powers is as follows: However, this doesn't seem like a valid deduction to make. Sure, it's a useful way of thi…
Last reply by aldld, -
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Hello, I have heard good things about this forum so I decided to check it out:) I have a question about the differences between topics covered in Math HL 1 and 2. Currently, I am a Junior taking Math SL1 but I feel motivated to take both Math HL 1 and 2 my senior year. I am not sure if other IB schools allow double blocking but it basically means you are taking Math HL 1 and 2, separate classes of course. Although this is allowed, few students take this option and from what I hear about Math HL, I don't blame them. But I feel confident and I am upto the task. I have had a consistent 94-95% in SL this year. The thing that worries me though is whether I will be able to mana…
Last reply by Emmi, -
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How can an angle between two intersecting lines be found if the equation of both lines are given?
Last reply by CocoPop, -
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Not in the curriculum at all I think, just a random thought I had during my calculus final and I figured if anyone knew it'd be the HL kids perhaps... The integral of i anyone have any idea on this? I tried googling it and get someone else and was wondering if anyone knew anything on it. Just kind of interested
Last reply by CocoPop, -
- 3 replies
- 841 views
Well, I am taking Math hl now, and I am getting a 75(before scale) this year. I don't like math and I am definitively not a math person but that is also the reason why I didn't put much effort into math this year.... I know we r going to learn calculus next year and I have studied calculus before, so I am wondering whether that would help.. my teacher said, I will need to work harder to get a 4 next year...(I didnt really do my hw this year, which is not... hardworking..) and if I work really really really hard, I might end up like a 6 but of course, I will not have much time to devote in math. So, I am worried. I want to get a 5. I want to get into business and economics…
Last reply by Linda Chen, -
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Hey guys. I'm currently solving my HL Mathematics portfolio. I'm doing complex numbers for Type I and I need a good and easy-to-use graphing software to plot points on an Argand diagram. Any suggestions?
Last reply by IB Smacher Glau, -
- 4 replies
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I'm still 'moderately' new to IB, but have decided that I want to do Maths HL as long as possible. We had our first set of semi-exams a few weeks ago, and we basically did half a Paper 1, and half a Paper 2 for the topics we had done so far. Overall, I was fairly happy with my results because I got an average over 80% and I am using that as proof to myself, and my concerned, non-mathematical parents that I am going to be 'totally fine' in Maths HL for the next 2 years. Basically, my question is how much harder will Maths HL get? Did you experience dramatic improvement in your mark for the Maths HL course as you get through more of it, or did it just start deteriorating b…
Last reply by jmw, -
- 29 replies
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Everyone at school seems to say that HL Mathematics is near impossible. My teachers tell me that i really need to love maths to be able to have a chance of getting above a 5 int his subject. What are your thoughts?
Last reply by Dinstruction, -
- 5 replies
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I have gotten a pretty solid B for the year and my IAs have been strong, however I feel as though I have not retained a bunch of my knowledge from earlier this year in math. For the past 2-3 weeks we have been doing purely IB practice exams, however some of it seemed so far-fetched from what we have been learning in school I really think that I am screwed. My teacher, despite being a very intelligent man, has difficulties answering many of the later IB problems in the old exams, so I am losing hope in my ability. I was wondering if anyone had any advice for last minute preparations for the exam? Thanks
Last reply by Grassroot, -
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Hello, this is what I am interested in. I was solving this, and I accidentally forgot to square -2 in the middle of my calculations (shown in red). How many points would I lose in this case, as the answer, of course, was wrong... Need a quick answer, please! Image can be as well accessed here: http://i45.tinypic.com/2va11di.png
Last reply by BlueberryQueen, -
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Hey everyone! So how are all the May 2012 ers feeling?? I'm quite nervous about math, because you never know what you're going to expect! I've done all the past papers since May 2008, all timezones and the option ones do (I'm doing series and DE). Totally hoping for a 7 I've focused most of my previous week on math because its my only exam along with eng paper 1 in first week which you can't really study for anyway. How have the rest of you been preparing? Any good or bad vibes! If we get anything like May 2011 TZ2 paper 2 I will jump to the sky, that paper was so easyyyy.
Last reply by Grassroot,
