👉 Mathematics underlies many aspects of problem-solving, especially in modeling real-world phenomena. For instance, when analyzing population growth, we use differential equations—a branch of calculus—to predict changes over time. In optimization problems, like finding the maximum profit for a business, we employ techniques from linear algebra and calculus to determine the best outcomes. Probability theory, rooted in statistics and combinatorics, helps us understand uncertainty and make informed decisions. Even in geometry, concepts like symmetry and transformations are crucial for understanding patterns and structures. Thus, mathematics provides the language and tools to quantify, model, and solve complex problems across various fields.