Multivariable calculus

Multivariable calculus extends the principles of single-variable calculus to functions with multiple variables. It explores concepts such as partial derivatives, multiple integrals, and vector calculus, providing tools to analyze phenomena in higher dimensions. Key techniques include gradient, divergence, and curl, which describe how functions change in space. Applications range from physics, where it models electromagnetic fields, to economics, aiding in optimizing functions with several variables. Multivariable calculus is essential for understanding complex systems, enabling the study of curves and surfaces in three-dimensional space, and playing a crucial role in fields like engineering, computer graphics, and data analysis.