IB Maths EE examples

How can the heliocentric velocity following a hyperbolic flyby be calculated from known initial conditions?

To what extent can unwanted noise be analyzed by applying a Fourier transform model?

To what extent do selected socio-economic factors, through a regression model, influence toddlers' cognitive development in China?

How does Gillespie’s Stochastic Simulation Algorithm compare to the classical deterministic approach in the simulation of chemical kinetics?

How can linear and non-linear differential equations be used to model the velocity and displacement of the Singapore Red Lions?

To what extent can image compression through Fourier analysis de-noise the CIFAR-10 dataset?

How can Laplace Transformation be used to solve differential equations in Undamped Vibration and Kirchhoff's Laws of Current and Voltage?

The Analysis of Approaches and Extension of a Combinatorial Geometry Problem

To what extent do the motion of strings within stringed instruments described by Fourier Series give insight into consonance and dissonance in music theory?

What is modular arithmetic, and how can it be applied to solve problems in the field of number theory?

How can we use Fourier Series to analyse and produce an Electrocardiogram signal?

How can a differential equation be used to model the spread of a virus in a closed population?

How can Fourier Transform be applied to denoising audio signals?

How can trigonometry and geometry be applied to determine the ideal free kick position along the touchline in soccer, maximising the shooting angle towards the goal?

To what extent does Hamiltonian Equations and Matrix Exponential can be used to solve differential equations in Simple Harmonic Motion?

How can we use Fourier transform to reduce unwanted noise in audio signals?

To what extent can modular arithmetic be applied to solve problems related to the calendar?

To what extent can the Bayesian model of statistics be used to accurately model or predict different biases within the field of criminal justice and how does it compare to the frequentist approach to statistics?

How can Lotka-Volterra equations and Verhulst’s logistic growth models be applied and compared to model the population and behavior of European rabbits (Oryctolagus cuniculus) in the UK from 1995 to 2024?

Projectile Motion Envelope—Investigating the range of fixed initial speed projectile motions’ trajectories with envelope

How can the concepts of one-dimensional differential calculus be extended to two dimensions?

To what extent can Geometric Brownian Motion accurately predict the stock prices of Apple?

To what extent Shpilkin’s method of election analysis is applicable to the analysis of electoral results to detect fraud?

How can mathematical modelling that employs differential equations determine population growth patterns for a Wolf and an Elk?

How do macroscopic models, specifically fundamental diagrams, and microscopic models like Webster's method and Markov chains contribute to understanding and optimizing traffic flow dynamics?

How can a Sierpinski Triangle be constructed and traversed under the context of constrained N–disc Hanoi Tower problem?

How does the number of riffle shuffles influence the attainment of optimal Shannon entropy when cards are shuffled by hand compared to when shuffled using an algorithm approximating real-life shuffling?

How can an Artificial Neural Network be Used to Identify Handwritten Digits?

What is the probability distribution of the number of successful ball selections in the Ball Box Battle game, where players aim to pick five balls out of 36 balls, utilizing the Probability Mass Function (PMF), Cumulative Distribution Function (CDF), and Expected Value E(X) of the hypergeometric probability distribution?

How Effective are Logistic Regression Models in Predicting Short-Term Stock Market Performance?

¿En qué medida se puede aplicar el Análisis de Fourier para calcular una partitura musical a partir de una grabación?

To what extent can Random Walk Theory and Chaos Theory effectively explain the SEK/EUR exchange rate market behaviour?

Is the Richards growth model suitable for predicting the future growth of passenger vehicles on Jakarta's roads?

How can the exit velocity vector of a spacecraft performing a hyperbolic flyby manoeuvre be calculated?

How does the implementation of Pell's Equation in RSA cryptography affect its efficiency, and what is the security of the prime fake modulus variant against Fermat's Factorization and Wiener's Attack?

To what length does the Lotka-Volterra model help us understand the predator-prey relation in an ecosystem?

To what length does the Lotka-Volterra model help us understand the predator-prey relation in an ecosystem?

To What Extent is the insight into the Concepts of Consonance and Dissonance in Music Theory provided by the Mathematical Descriptions of the String Motions Within Stringed Instruments Described by the Fourier Series?

To what extent is the Naive Bayes classifier effective in classifying Iris Plants Data Set?

How does Elliptic Curve Cryptography ensure secure communication of information on the internet?