Applied Mathematics II
Instructor: Perdiou Angela, Petropoulou Eugenia
Course code: 5201
Semester: 2ο
e-class: https://eclass.upatras.gr/courses/CIV1554/
Course content:

  • Continuity at a point and in a region of multivariable functions.
  • Partial derivative and differentiability of functions of several variables
  • Functional determinant and implicit functions
  • Taylor expansion
  • Extremum points and conditional extremum points
  • Vector Analysis
  • Dot, cross and mixed product of vectors
  • Curves in space, Frenet formulas, Surfaces
  • Hamilton operator, directional derivative, vector operators
  • Multiple integrals, curve and surface integrals, Green’s, Gauss’ and Stokes’ theorems.


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