(or just the “Exploration”).
Specialized supporters, low prices, easy to understand topics and anonymity, never asking for your name. What Is The Birthday Paradox?
5 and 7 are consecutive primes). 8) The Remarkable Dirac Delta Function. By Katie Bowell, Curator of Cultural Interpretation Today is my birthday. Look at some of the maths (and psychology behind winning this game.
9) Modeling with springs and weights.
You will choose a topic in consultation with the teacher after conducting your own research. Why not also make it your lifeboat. but these range from quite easy (modular arithmetic, at least at the basic level) to impossibly hard (GRH? 30) Can you solve Oxford University’s Interview Question?. However, 99% probability is reached with just 57 people, and 50% probability with only 23 people. Hashtables, Pigeonholes, and Birthdays. Ø Write a hypothesis. IAs take way too long to get done, and are the easiest of things to procrastinate on. 36) Predicting the UK election using linear regression.
1) Modular arithmetic – This technique is used throughout Number Theory.
Maths can be used to both make these codes and break them. what do you consider to be a "good" IB score? marked by the teacher) called a … 39) Zeno’s Paradox – Achilles and the Tortoise – A look at the classic paradox from ancient Greece – the philosopher “proved” a runner could never catch a tortoise – no matter how fast he ran. This Math Class included two current UC Berkeley Students, an Oxford pupil, and a UPenn undergrad. Hulk and Paulinho are relaxing after another stylish win. 32) Soap Bubbles, Wormholes and Catenoids. The twin prime conjecture states that there are infinitely many consecutive primes ( eg. This is a function which is used in Quantum mechanics – it describes a peak of zero width but with area 1. This mathematical equation has been described as the most important in all of physics. Explore the maths behind code making and breaking. 7) Explore the Si(x) function – a special function in calculus that can’t be integrated into an elementary function. An interesting insight into the mathematical field of Number Theory. So, consider these tips and topic ideas as a guide for your math IA and nothing can stop you from scoring high grades. You’ve always been used to writing English essays, when was the last time you ever wrote a Math Essay? Zeno’s paradox of Achilles and the tortoise, The Poincare Conjecture and Grigori Perelman, The Monkey and the Hunter – How to Shoot a Monkey, Galileo: Throwing cannonballs off The Leaning Tower of Pisa. They are useful for modelling more complex shapes. Surprisingly maths can help! 2) Solving maths problems using computers – computers are really useful in solving mathematical problems. 9) Optimization of area – an investigation. 20) The Coastline Paradox – how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions. A nice starting point for students good at coding – who want to put these skills to the test mathematically. You can edit the text in this area, and change where the contact form on the right submits to, by entering edit mode using the modes on the bottom right. Consider the following example: Assuming for a moment that birthdays are evenly distributed throughout the year, if you’re sitting in a room with forty people in it, what are the chances that two of those people have the same birthday? 9) Does finger length predict mathematical ability? Math, as it turns out, is out of its bloody mind. hi i am doing something similar to finding the length of a road in that i am finding the arc length of a function. 2/3 could be written as 1/6 + 1/2. No need to stress, its an exploration not a full on research paper so as long as you put work into it they don't care too much about your topic choice.
Something to keep in mind is that your topic does not need to be original. 44) Modelling Chaos – how we can use grahical software to understand the behavior of sequences. – An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps – find out about the maths behind these essential technologies. In probability theory, the birthday problem or birthday paradox concerns the probability that, in a set of randomly chosen people, some pair of them will have the same birthday. Arthur wasn’t the best at Math; he received a 28% on his mocks. Examples of around 70 topics that could be investigated, Useful websites for use in the exploration, A student checklist for completing a good investigation, Common mistakes that students make and how to avoid them, A worked example for the maths behind correlation investigations, A selection of some interesting exploration topics explored in more depth. IB HL Math IA Topics (Mathematics in art~expolring the role of math in…: IB HL Math IA Topics 1. To help students who are going to the first year of IB get prepared for the upcoming syllabus changes as well as stay ahead of their in-school instruction, The Edge will run a course to cover the common core topics under the new IB Math curriculum. His Math IA grade was the reason he got accepted into his top-choice university. Ø Draw conclusions. There has been a recent breakthrough in this problem. It turns out that, at least in the Western world, October 5th is the most common day to be born. Try to plot the locus of a sliding ladder. 4) Genetics – Look at the mathematics behind genetic inheritance and natural selection. Look at the inherent probabilistic nature of the universe with some quantum mechanics. Explore this famous number theory puzzle. 16) Hyperbolic functions – These are linked to the normal trigonometric functions but with notable differences.
The challenge is to see how many different shapes can be made with a given number of squares – and how can they fit together?
1) The harmonic series: Investigate the relationship between fractions and music, or investigate whether this series converges. Use computer graphing to investigate. After all anything you can think of probably has been done 5 thousand times. Investigate the surprising correlation between finger ratios and all sorts of abilities and traits.
We consider the following experiment.
(This topic is only suitable for IB HL students). Which times tables do students find most difficult? Change ), You are commenting using your Twitter account.
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