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

  1. Differential calculus of multivariable functions (Partial derivatives, Total differential, Implicit functions,  Taylor's formula for two variables, Extreme values and saddle points, Lagrange multipliers).
  2. Vector calculus (Vector algebra, Vector functions, The Frenet-Serret frame, Gradient, Divergence, Rotation, Directional derivative).
  3. Integral calculus of multivariable functions (Multiple integrals, Integration in vector fields, Line integrals, Surface integrals, Green's theorem, Stokes' theorem, Gauss' theorem).
  4. Use of MuPad at the laboratories for the solution of problems regarding the above mentioned topics.


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