Applied Calculus

Applied Calculus uses the foundational tools of differentiation and integration to solve more complex problems, particularly those involving optimization and the study of functions themselves.

• Calculus of Variation: A field of mathematical analysis that deals with maximizing or minimizing functionals, which are mappings from a set of functions to the real numbers.

• Lagrangian formulation: A prominent application of the calculus of variations, used to find the equations of motion for a system by reformulating classical mechanics in terms of energy.