Mathematics AI HL IA Samples
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Investigating the correlation between number of employees and total profit, marginal profit in Gems and Jewelers, Ahmadabad, India
Student explores using advanced mathematical tools and econometrics to analyze a decade of financial data from a family business, aiming to optimize employee management and uncover relationships affecting financial ratios during crises.
Mathematical modeling of the projectile motion of volleyball and determining the equation of its trajectory
A student merges passion for volleyball with mathematics, exploring the projectile motion of the ball. Utilizing learned principles of plane motion, the project aims to mathematically model and analyze the trajectory of a volleyball in air.
Mathematical modelling of pathway of a plane
Exploring the mathematical modeling of aircraft pathways, this project seeks to understand the mechanics and dynamics of different types of aircraft motion, applying principles from projectile motion and linear algebra, within the student's scope.
Effect of quadratic air resistance on the trajectory of a Shot Put (Projectile)
Investigating the mathematical relationship between wind, air resistance, and projectile motion in sports, with a keen focus on understanding disparities and environmental impacts on events like javelin and shot put amidst varied weather conditions.
To model the motion of a swimmer using the parametric equations of motion and determine the terminal velocity of the swimmer and the minimum depth of the pool for safe swimming using equation solving
An analytical exploration into the underlying mathematical and physical principles involved in swimming and diving, focusing on the various forces and variables in play, and connecting personal experiences to a deeper, theoretical understanding of the activities.
Investigation on banking of road at the turn and comparison between a road with banking and a road without banking
Exploring the mathematical principles behind road banking as a preventative measure for vehicle skidding during turns, investigating its efficiency and impact on reducing road accidents, and dissecting the practical application in road construction.
Investigation on the increase of stock price of BioCryst Pharmaceuticals Inc corresponding to the exponential increase in Ebola infection in South-eastern Guinea and hence determining a correlation between them.
Utilizing calculus, this assessment explores the relationship between Ebola case surges in south-eastern Guinea and the stock price fluctuations of BioCryst Pharmaceuticals, intertwining interests in the health sector, economics, and the impact of pandemics.
Investigating the trigonometric functions to describe the variation of Temperature against Time over a period of 10 years, the variation of Wind Speed against Time over a period of 10 years and finding a relation between the two using the concepts of differential calculus and complex number.
An investigation into the various parameters influencing city temperatures, linking to the broader context of global warming, inspired by personal experiences and the desire to employ mathematical analysis in addressing pressing environmental concerns.