👉 Mathematics is fundamentally based on equations, which are symbolic representations of relationships between variables. These equations consist of mathematical symbols (like numbers, variables, and operators) that express a statement or problem. For example, the equation \( ax + b = c \) represents an algebraic relationship where \( a \), \( b \), \( c \), and \( x \) are variables, with \( a \) and \( b \) as constants and \( c \) as the constant term. Equations can be linear, quadratic, or more complex, and solving them involves manipulating these symbols using algebraic rules to find unknown values. In calculus, equations describe rates of change and accumulation, with derivatives representing instantaneous rates and integrals summing up areas under curves. These equations form the backbone of mathematical modeling, enabling us to solve real-world problems in physics, engineering, economics, and beyond.
