Marco Vianello: didactic curriculum

at the University of Padova, from 1991

Teaching (59 courses)
(o): full course responsibility
(%): teaching assistantship or co-teaching

at the Faculty of Science

• Calcolo Numerico (Numerical Computing) (1st degree in Mathematics, in some years with 2nd degree in Astronomy and in Geology)
  (o) 12 years (1998/99, 2002/03--2012/13) and (%) 5 years (1994/95, 1995/96, 1997/98, 1999/00, 2000/01)
  
  
• Analisi Numerica (Numerical Analysis) (2nd degree in Mathematics)
  (o) 6 years (2002/03, 2004/05, 2006/07, 2007/08, 2010/11, 2011/12) and (%) 5 years (1997/98, 1998/99, 2008/09, 2009/10, 2012/13)
  
  
• Calcolo Numerico (Numerical Computing) (1st degree in Computer Science)
  (o) 7 years (2003/04--2009/10)
  
  
• Didattica del Calcolo Numerico (Teaching Numerical Computing) (training and refresher course for high-school teachers within the Master program "Methodology and Didactics of Mathematics")
  (o) 7 years (2001/02--2005/06, 11/12, 12/13)
  
  
• Calcolo Numerico e Programmazione (Numerical Computing and Computer Programming) (1st degree in Chemistry)
  (o) 2 years (2000/01, 2001/02) and (%) 3 years (1996/97, 1998/99, 1999/00)
  
  
• Elementi di Calcolo Numerico (Elements of Numerical Computing) (1st degree in Materials Science)
  (o) 3 years (2001/02--2003/04)
  
  
• Complementi di Calcolo Numerico (Advanced Numerical Computing) (2nd degree in Computer Science)
  (o) 2 years (2004/05, 2005/06)
  
  
• Calcolo Numerico e Programmazione (Numerical Computing and Computer Programming) (1st degree in Materials Science)
  (%) 2 years (1998/99, 1999/00)
  
  
• Istituzioni di Analisi Superiore (Real Analysis) (2nd degree in Mathematics)
  (%) 2 years (1993/94, 1994/95)
  
  

at the Faculty of Engineering

• Analisi 2 (Analysis 2) (1st degree in Electrical Engineering)
  (%) 2 years (1991/92, 1992/93)
  
  
• Calcolo Numerico (Numerical Computing) (1st degree in Industrial Engineering)
  (o) 1 year (2012/13)
  
  

Written tutorials (in Italian)

• Traces of numerical computing
  
  
• Traces of numerical analysis
  
  
• Exercises and complements of functional analysis
  
  
• Exercises and complements of measure and integration theory
  
  

Ph.D. courses

• Teoria dell'Approssimazione Polinomiale (Polynomial Approximation Theory) (Ph.D. program in Computational Mathematics)
  (o) 3 years (2006/07--2008/09)
  
  

Talks on didactics

• Fundamentals of numerical computing (fall 2000)
  2 talks for the Padova section of the Mathesis (association of the high-school teachers in mathematics)
  
  

Supervision and organization

• Supervisor of 2 Ph.D. theses in Computational Mathematics: Alvise Sommariva 1999 (presently lecturer at the University of Padova), and Marco Caliari 2002 (presently lecturer at the University of Verona), see also The Mathematics Genealogy Project
  
  
• Supervisor of 35 "laurea" theses for the degrees in Mathematics (former 4 years and present 3+2 years curricula), most of type "research thesis" in the area of numerical analysis (10 theses have lead to scientific publications in collaboration, see the list of publications in Numerical Analysis and Approximation Theory [13,14,15,17,26,43,56,60,61,66,67,70], and the list of publications in Mathematical Analysis [20,21])
  
  
• Supervisor of 15 final theses of high-school teachers for the Master program (Corso di Perfezionamento) in "Methodology and Didactics of Mathematics"
  
  
• Member of the Board for didactics of the degrees in Mathematics (2002-2004)
  
  
• Member of the Council of the Ph.D. program in Computational Mathematics of the University of Padova (2005-2010)
  
  
• Member of the Board for didactics of the Dept. of Mathematics (2012- )
  
  

Complete list of supervised theses for the degrees in Mathematics

2012/13

1. Algebraic cubature on subregions of the sphere
   M. Gentile, Tesi di Laurea Magistrale
2. Algebraic cubature on subregions of the torus
   L. Mezzalira, Tesi di Laurea Magistrale
   
3. Product interpolation on sphere sections
   A. Cracco, Tesi di Laurea Triennale
   
4. Computing discrete extremal sets on disk sections
   A. Passarini, Tesi di Laurea Triennale

   2011/12

5. Recent results in the theory of polynomial weakly admissible meshes
   F. Piazzon, Tesi di Laurea Magistrale (in English)
   
6. Some results on subperiodic trigonometric approximation and quadrature
   G. Da Fies, Tesi di Laurea Magistrale
   
7. Construction of admissible polynomial meshes on bidimensional compacts with smooth boundary
   V. Piciocchi, Tesi di Laurea Triennale
   
8. Subperiodic trigonometric interpolation and product interpolation on disk sections
   V. Mazzocco, Tesi di Laurea Triennale

   2010/11

9. Comparison of methods for the numerical integration of bivariate gaussians over polygons
   S. Ballan, Tesi di Laurea Triennale
   
10. Computation of near optimal points for polynomial interpolation over the triangle
    M. Briani, Tesi di Laurea Triennale

    2009/10

11. A method for convex quadrangulation of a polygon
    M. Gentile, Tesi di Laurea Triennale
12. Analytic transformations of weakly admissible meshes
    F. Piazzon, Tesi di Laurea Triennale
13. Algebraic cubature on general domains by the software system Chebfun
    M. Santin, Tesi di Laurea Triennale

    2008/09

14. Polynomial approximation on weakly admissible meshes of ball and tetrahedron
    G. Orzetti, Tesi di Laurea Magistrale
    
15. A new cubature method over polygons
    F. Basaglia, Tesi di Laurea Triennale

    2006/07

16. A RBF cubature formula for scattered data on domains with spline boundary
    G. Da Fies, Tesi di Laurea Triennale

    2005/06

17. A RBF cubature formula for scattered data on circular sectors
    A. Punzi, Tesi di Laurea Triennale

    2003/04

18. Efficient implementation of the Fast Gauss Tranform on grids
    E. Caniato, Tesi di Laurea Quadriennale

    2001/02

19. Efficient implementation of exponential integrators for 2D and 3D advection-diffusion equations
    M. Caliari, Ph.D. thesis in Computational Mathematics (in English)
    
20. Numerical analysis of a polynomial explicit method for stiff differential systems
    C. Casazza, Tesi di Laurea Quadriennale

    2000/01

21. Bivariate Chebyshev series and approximation of integral operators
    A. Mardegan, Tesi di Laurea Quadriennale

    1999/00

22. Constructive and numerical analysis for a class of Hammerstein equations arising in transport theory
    A. Sommariva, Ph.D. thesis in Computational Mathematics (in English)
    
23. Acceleration of the multidimensional Fast Gauss Transform
    M.T. Aneloni, Tesi di Laurea Quadriennale
    
24. Accelerating the solution of integral equations of the second kind by Chebyshev compression
    A. Martignago, Tesi di Laurea Quadriennale

    1998/99

25. Computing the exponential operator for large, sparse, nonsymmetric matrices
    M. Caliari, Tesi di Laurea Quadriennale
    
26. Implementation of cosine type methods for 2nd order differential equations with rapidly oscillating solutions
    M. Stander, Tesi di Laurea Quadriennale

    1997/98

27. Analysis and implementation of a numerical solver for nonlinear integral equations of transport theory
    E. Facchinello, Tesi di Laurea Quadriennale

    1996/97

28. Polynomial approximation of analytic matrix functions
    S. Zamborlin, Tesi di Laurea Quadriennale
    
29. Asymptotic approximation for 2nd order linear difference equations in Banach algebras
    T. Solda`, Tesi di Laurea Quadriennale
    
30. Global error control in the numerical solution of stiff differential systems
    S. Tarraran, Tesi di Laurea Quadriennale

    1995/96

31. Asymptotic-numerical analysis of 2nd order linear difference equations with polynomial coefficients
    F.Pistellato, Tesi di Laurea Quadriennale
    
32. Numerical computation of the Lerch trascendental function
    S. Nizzoli, Tesi di Laurea Quadriennale

    1994/95

33. Convergence acceleration of power series by asymptotic summation and extrapolation
    S. Dassie`, Tesi di Laurea Quadriennale
    
34. On the numerical integration of analytic functions by Gauss-Gegenbauer formulas
    F. Locatelli, Tesi di Laurea Quadriennale
    

    1992/93

35. Some results of discrete asymptotic-numerical analysis with computational applications
    C. Damele, Tesi di Laurea Quadriennale
    
36. A numerical approximation method for a class of fixed-point equations
    A. Sommariva, Tesi di Laurea Quadriennale