👉 The prospective math, rooted in the principles of calculus and differential equations, focuses on predicting future behavior based on current data and trends. It involves modeling systems where variables change over time, using derivatives to understand rates of change and integrals to accumulate changes. For instance, in population dynamics, prospective math can forecast future population sizes by analyzing growth rates and environmental factors. In economics, it helps predict stock prices or consumer behavior by modeling how variables evolve. The core idea is to use mathematical functions and their derivatives to create models that can simulate and predict outcomes, enabling informed decision-making in various fields such as physics, biology, engineering, and finance.
