Math Modeling focuses on the application of mathematical concepts to solve real-world problems through modeling and analysis.
Not all relationships are straight lines! Many real-world systems are nonlinear, meaning their relationships change in more complex ways.
Sometimes, models need more than one equation to describe them, especially when multiple variables interact.
Nonlinear and complex models can capture more details and provide better predictions, but they may require more advanced math or computers to solve.
\[y = ax^2 + bx + c\]
Modeling how a virus spreads using exponential equations.
Using quadratic equations to predict the path of a basketball shot.
Nonlinear models capture more realistic behaviors but can be trickier to solve.