Maths

Modelling India’s Population

Almost perfect (19/20) mathematics HL IA about optimization, with beautiful formatting and plots.

What trajectory should the spaceship use to minimise the total amount of radiation obtained when travelling to the point exactly opposite of the star?

This IA investigates the correletion between height and shooting ability in basketball using the Pearson's correlation coefficient and chi-squared.

Investigating the correlation between height and shooting ability in basketball.

Fourier Transform in Neuroscience: An application to electric signal analysis

How does the volume of water inside a bottle determine the frequency of the sound emitted by the bottle as more water is filled?

Optimizing blood vessel branching

Math IA based on optimization - Uses rigorous IB calculus and a fair amount of college calculus. Teacher predicted it a 19/20, saying it was one of the best rationales, use of math, and general presentation on an IA. 

Employing optimization to minimize amount of packaging material

19/20. Lost a mark on criterion E. Hope this helps :)

What is the Mathematical Formula for the Key of C Major?

Modelling an egg using 2 methods: modifying the ellipse equation, polynomials. Received 19/20. Fell free to contact me on Reddit (u/Hetchmed) with any questions

Modeling a chicken egg

Modelling COVID 19 using SIR Model

How can math demonstrate how people can play music by ear without ever reading sheet music?

Modelling the surface area of a ceramic pot

The mathematics behind Singapore's student loans (19/20)

Creating a piecewise function to model a population pyramid in order to evaluate development of different countries.

Exploration into Modelling a Population Pyramid (19/20)

The aim of this paper is to model the decay of a sample in a fission reaction using the model of a Onedecay process.

How can we develop an accurate model to describe radioactive decay?

How does club face loft affect how far the ball carries in golf?

Exploration of different methods to determining the pi-constant to an infinitesimal extent while evaluating the efficiency of each method. 

The determination of pi constant using geometry, calculus, and technology

I used statistical models to predict the NZ election! High key did... 

AN INVESTIGATION INTO PREDICTING THE OUTCOME OF THE 2020 NEW ZEALAND ELECTION

How Air Pressure Affects a Soccer Ball

A Model of Earth’s Orbit

How to calculate the surface area and volume of a bottle through modelling?

Comparing the Rates of Change of in Temperature for Three Water Bottles

Mathematical Modelling of Doraemon

One of the applications of optimisation is with finding maximum lengths of object in order to fulfil a specific criteria or function. The Moving Ladder problem is one of these types of problems.

Extension of the Moving Ladder Problem

Lanchester’s Combat Model 

Here's my Math IA! For any questions don't hesitate to ask me on my email :)) logycatty@gmail.com

Investigating the Interaction Between Sinusoidal Sound Waves and Resultant Superposition in Assembling Harmonious Guitar Chords

Exploring an alternative method of calculating the volume of a star

 Investigation of the Relationship Between Leg Length and Lateral Jumping Distance

The role of Mathematics in cryptography

Tower of Hanoi

Analysing the cost of filling and crown's structure for humans.

For this investigation, I first analyzed the frequency of the use of four chosen function words: the, and, of, and a per 100 words, of the first 1000 words of two novels, one written by Wilde and one written by Hinton. I compared Poisson distribution and binomial distribution to the actual distribution of the function words. Then, I counted the frequency of the four function words of a third text, written by one of the two authors. Using Bayes’ theorem, I calculated the probability that the third text was written by one of the two authors based on the frequency of the four function words.

An investigation on authorship

Small neural networks for simple binary classification.

Modeling the curve of a dolphin kick of a swimmer

What is the relationship between GDP per capita and CO2 emissions per capita?

Logarithmic transformations of graphs and its importance in real life

Plotting Log graphs of planetary patterns

Bayes’ Thorem and the Probability of Inaccurate Diagnosis in 40-89 Year-Old Individuals in Relation to the Excess Healthcare Burden of Osteoporosis in the United Kingdom

I tried to make sense of why price changes in the market. 
Using assumptions and building a model using Mathematics on top of the assumptions allowed me to understand the movement of price.

I used Python to model the price movement according to my model and compared it with real-world.

IB Maths IA examples

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Maths IAs related to: Trigonometry

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