Monday, 21 10 2019

Multivariable Calculus and Vector Analysis


Multivariable Calculus and Vector Analysis
Lesson Code:   
Level:  Undergraduate
Semester:  2ο



Limits and continuity. Partial Derivative. Higher order derivatives. Jacobian determinant. Implicit functions. Change of variables. Taylor expansion. Extremum points and conditional extremum points. Vectors. Dot, cross and mixed products. Rotation of a coordinate system. Vector-valued functions. Curves in space. Surfaces. Gradient. Directional derivative. Divergence and curl of a vector field. Multiple integrals. Curve and surface integrals. Green, Gauss and Stokes Theorems.



Kalantonis Vasileios

Perdios Efstathios