Euclidean space Rn, limit and continuity of functions of several variables. Differential Calculus: Differentiability of functions of several variables. Differential of a function. The differential operators grad, div, rot. Taylor expansion. Implicit functions. Extrema. Integral Calculus: Double, triple, line and surface integrals and applications. Vector Calculus. Practical computational exercises.
- Teacher: Βασίλειος Γρηγοριάδης
ECTS : 5
Language : el
Learning Outcomes : Students learn the basic concepts of multivariable functions. They know how to differentiate, calculate tangent planes, calculate extrema, and apply fundamental integration theorems. They also learn the Taylor expansion of a multivariable function, the Implicit Function Theorem, and Lagrange multipliers.