is the actual vertical change along that tangent line for a horizontal shift 2. Analiz I: Single-Variable Calculus
: Unlike introductory calculus, Analysis I focuses on the "why." It uses limits to formally define continuity and differentiability. Analiz I – Ii Diferansiyel
Analiz II expands these concepts into higher dimensions and inverse operations. is the actual vertical change along that tangent
: 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. : Students prove major results such as the
: The differential is used to estimate errors and calculate small changes in physical systems. 3. Analiz II: Multivariable and Integral Calculus
: 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