Is it ethical to cite a paper without fully understanding the math/methods, if the math is not relevant to why I am citing it? What is the Internal Assessment Your Internal Assessment (IA) is a project that you will have to complete in all your IB classes. the blood splatters. Cesaro Summation: Does 1 1 + 1 1 = 1/2? 7) Sierpinksi triangle: a fractal design that continues forever. Figure 4: Diagram of the radiuses a and b on an ellipse. splatter analysts in order to be accurate and would be far beyond the scope of the tan() Please contact me if you can help me out! this website is a real reference for me, thanks! endobj 12) Magic squares and cubes: Investigate magic tricks that use mathematics. 2) Is there a correlation between height and weight? Trigonometry developed from a need to compute angles and distances in such fields as astronomy, mapmaking, surveying, and artillery range finding. 3) Chinese postman problem This is a problem from graph theory how can a postman deliver letters to every house on his streets in the shortest time possible? 49) Rational approximations to irrational numbers. endobj 28) How to avoid a Troll an example of a problem solving based investigation, 29) The Gini Coefficient How to model economic inequality. stream << 17) Are a sample of flower heights normally distributed? a=0(major axis) and b=0(minor axis). I had noticed that as the angle Blood Splatter Trigonometry. Department of Mathematics, Cornell Use computer graphing to investigate. 19) Elliptical Curves how this class of curves have importance in solving Fermats Last Theorem and in cryptography. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. 13) Telephone Numbers these are numbers with special properties which grow very large very quickly. << Using the SIR model to understand epidemics. into the way blood splatters can be used as evidence. The second one you mention is more properly known as "shadow reckoning". 2)How to Design aParachute looking at the physics behind parachute design to ensure a safe landing! Here's a link to some basic 3d parametric modeling I looked at, but again, it seem too complex and I dont know where I would go with it. Professional math tutoring in Amsterdam given by university students who freshly remember your childs struggles. it really good topics in math and i really like it and its new in math. Architects draw angles, determine heights and calculate measurements using . Image Foster + Partners. Bloodstain Pattern Analysis. Bloodstain Pattern Analysis: How Its Done, Use Google Finance to collect data on company share prices. Model your data using a normal distribution. Does this mean that height is a good indicator of weight? trig damping Link. 24 0 obj Why do magic squares work? 16) Hyperbolic functions These are linked to the normal trigonometric functions but with notable differences. However, in theory and 14) Circular inversion what does it mean to reflect in a circle? may i ask what you got on this ia? stretch so that you have 3, 4, 5). You can post now and register later. Planned Maintenance scheduled March 2nd, 2023 at 01:00 AM UTC (March 1st, What are some applications of Trigonometry? standing which is where angle points to >> This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. 2/3 could be written as 1/6 + 1/2. This is a function which is used in Quantum mechanics it describes a peak of zero width but with area 1. We offer, how to structure and format your Maths IA. Trigonometry 5. 21) Projective geometry the development of geometric proofs based on points at infinity. 9) Maths and football Do managerial sackings really lead to an improvement in results? Follow in the footsteps of a genius! Plotting Planets: Using log functions to track planets! 30) Maths of Global Warming Modeling Climate Change Using Desmos to model the change in atmospheric Carbon Dioxide. 1)The Van EckSequence The Van Eck Sequence is a sequence that we still dont fully understand we can use programing to help! If you are a teacher then please also visit my new site: intermathematics.com. 11) The Monty Hall problem this video will show why statistics often lead you to unintuitive results. What is the geometric shape of soap bubbles? = -1/12 ? Using the physics of travel near the speed of light to see how we could travel to other stars. Theres lots of simple geometry I could do, maybe leading up to trig. Therefore I needed to graph the points in order to allowed me to Explore the maths behind code making and breaking. Studies have shown that bilingual students have better working memory does this include memory recall? 10) Pythagorean triples: A great introduction into number theory investigating the solutions of Pythagoras Theorem which are integers (eg. Architecture has in the past done great things for geometry. Can we find a function that plots a square? How many people need to be in a room for it to be at least 50% likely that two people will share the same birthday? is affected by the angle from which it was created. 8) Squaring the circle: This is a puzzle from ancient times which was to find out whether a square could be created that had the same area as a given circle. How to use modeling to predict booms and busts. 7) Mbius strip: An amazing shape which is a loop with only 1 side and 1 edge. We also have similar ideas for Biology, Chemistry, Economics, History, Physics, TOK and many many more tips and tricks on securing those top marks on our free resources page - just click the 'Maths resources' button! 1) Radiocarbon dating understanding radioactive decay allows scientists and historians to accurately work out somethings age whether it be from thousands or even millions of years ago. Can you solve Oxford Universitys InterviewQuestion? Premier League wages and league positions. Introduction 3, Calculating the area of an ellipse (Geometry / Algebra) 3 5, Calculating correlation between area of ellipse and angle of creation (Statistics) Apart from the mathematics needed when engineering buildings, architects use geometry: to define the spatial form of a building; from the Pythagoreans of the sixth century BC onwards, to create forms considered harmonious, and thus to lay out buildings and their surroundings according to mathematical, aesthetic and sometimes religious principles; 12) Four colour map theorem a puzzle that requires that a map can be coloured in so that every neighbouring country is in a different colour. /ca 1 6) Continued fractions: These are fractions which continue to infinity. /BM /Normal /Resources << Math. 7) When do 2 squares equal 2cubes? I was also able to conclude that the 36)Predicting the UK election using linearregression. This investigates a generalized version of projectile motion discover what shape is created. We can analyse the data to find out. The 3D parametrics topic is too complex. To check this I used the example %PDF-1.4 10)Is Intergalactic space travelpossible? 2) Logistic function and constrained growth. 20) Modelling infectious diseases how we can use mathematics to predict how diseases like measles will spread through a population. 44)Modelling Chaos how we can use grahical software to understand the behavior of sequences. 14) Is there a correlation between stress and blood pressure? Scene: Using Trigonometry to Find a Killer Pin Code: fqr Table of Contents: Find out! measurements above to sketch them. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Dont worry, weve all been there. >> Your concern about focusing on the Mathematical Understanding because it has the highest number of points is unfounded. Higher Level Mathematics Exploration Exploring the techniques of integrating trigonometric functions, with strong focus on applying Euler's formula. Premier League wages and league position? To subscribe to this RSS feed, copy and paste this URL into your RSS reader. 23 0 obj 4) Why e is base of natural logarithm function: A chance to investigate the amazing number e. 5) Fourier Transforms the most important tool in mathematics? way mathematics is used within a crime scene investigation. 3,4,5 triangle). droplets onto the paper properly due to the nature of gravity. 1a) Non-Euclidean geometries: This allows us to break the rules of conventional geometry for example, angles in a triangle no longer add up to 180 degrees. stretch so that you have 3, 4, 5) So, it has played a role as long as architecture has been architecture. /Domain [0 1] stream >> Anscombes Quartet the importance ofgraphs! Fermats Last Theorem is one of the most famous such equations. 11) Flatland by Edwin Abbott This famous book helps understand how to imagine extra dimension. Despite issues with accuracy, the exploration was able to provide insight into Look at some stats for NBA players to find out. The best answers are voted up and rise to the top, Not the answer you're looking for? I realize I have nothing to go on at the moment, but this seems like an interesting topic and I'm wondering if someone could give critique on it or even suggest a related, perhaps better topic. 9) Designing bridges Mathematics is essential for engineers such as bridge builders investigate how to design structures that carry weight without collapse. This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. 6) Impact Earth what would happen if an asteroid or meteorite hit the Earth? measurements do not Some classic physics which generates some nice mathematical graphs. The link between math and architecture goes back to ancient times, when the two disciplines were virtually indistinguishable. 11) Projectile Motion InvestigationII. How the normal distribution is used to predict elections. (LogOut/ 40) Finding focus withArchimedes. 37)Modelling a NuclearWar. 9 Mins Read. /AIS false Luckily, theres [], Choosing where to start with an IA can be the hardest part, and this is definitely true for the Physics IA. This is a nice way to link some maths history with studying an interesting function. What is your best way of surviving the zombie apocalypse? 5)Fourier Transforms the most important tool inmathematics? An architect's model of 30 St Mary Axe. 15) Julia Sets and Mandelbrot Sets We can use complex numbers to create beautiful patterns of infinitely repeating fractals. 8) Change in a persons BMI over time There are lots of examples of BMI stats investigations online see if you can think of an interesting twist. 8)Hollow Cubes and Hypercubesinvestigation. 8)Log Graphs to Plot PlanetaryPatterns. area of the ellipse. It involves understanding the modulo operation. 34)The Rise ofBitcoin. 37) Generating e through probability andhypercubes. What would happen to the climate in the event of a nuclear war? Is there a correlation between height and weight? Prereq: Satisfactory performance on the placement exam, 2 years of high school algebra,1 year of high school geometry, or enrollment in MATH 140.Mathematical ideas regarding the conception of space. Packs for both Applications students and Analysis students. I chose to round my answer to three significant figures, as /Function 21 0 R Main Idea Using knowledge of trigonometric rules and identities, solve a real world physics problem by finding a certain value or optimising that value using differentiation, given a set of values that limit the domain and range. If you are looking for Read more, 25 Unique Physics IA Ideas: Internal Assessment Topics, Architecture and mathematics: the golden ratio, Conditional probability and the Monty Hall problem, Describing the vibrations of drums with Bessel functions, Dirac delta function and its applications, Elliptical geometry: when the sum of the angles of a triangle does not equal 180, Eulers identity: complex numbers and mathematical beauty, Modular arithmetic: when 2+2 is not always equal to 4, Mbius strip: the strange world of non-orientable surfaces, Simpsons paradox and the strange outcomes of misused statistics, Special functions: error function and normal distributions, Surprising ways of finding Pi: Gaussian integral and the Leibniz Formula, The Mandelbrot Set: when fractals meet complex numbers, The Logistic function and its applications (population growth, neural networks, or linguistics), The Gamblers ruin: how beneficial chances are never beneficial in the end. 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