Derivatives of functions of one variable, Mean Value theorems, Taylor’s theorem, Applications
Trigonometric functions, hyperbolic trigonometric functions, inverses, the integral of a function of one variable
The n-dimensional Euclidean vector space, basic notions and definitions, functions of several variables,
plane and space curves, functions between vector spaces, vector fields, limit and continuity of functions of several variables.
Differential Calculus of functions of several variables: partial derivatives of first order, directional derivatives, gradient, Surfaces and tangent plane, Differentiable functions, higher order partial derivatives, Schwartz theorem
Taylor’s theorem, local extrema of functions of several variables.
Integration theory for functionsof several variables, Elements of Vector Analysis.
- Teacher: Βασίλειος Κανελλόπουλος
ECTS : 0
Language : el
Learning Outcomes : Upon successful completion of the course, the student will be able to: • Have understood the bases and methods of Mathematical Analysis. • Understand the importance and usefulness of the tools provided by the course. • Apply and use the knowledge gained. • Calculate extreme values of multivariable functions. • Calculate lengths of curves, areas of planar regions and volumes of solid bodies.