: The differential is used to estimate errors and calculate small changes in physical systems. 3. Analiz II: Multivariable and Integral Calculus
: Unlike introductory calculus, Analysis I focuses on the "why." It uses limits to formally define continuity and differentiability. Analiz I – Ii Diferansiyel
Analiz I typically focuses on functions of a . The study of differentials here is characterized by: : The differential is used to estimate errors
: Students prove major results such as the Mean Value Theorem and Taylor’s Theorem , which rely on the differential to approximate complex functions with polynomials. Analiz I typically focuses on functions of a
Analiz II expands these concepts into higher dimensions and inverse operations.
: It acts as a tool for linearization —using the tangent line at a point to approximate the function's value nearby. Geometric Meaning : While the derivative is the slope of the tangent line, the differential