Applied Mathematics
International Master "Structural Mechanics and Coupled Systems"


Course of applied mathematic, autumn 2023     [edition Autumn 2022}

Lecture 1.    Matrix calculus
Lecture 2.    Linear algebra
Lecture 3.    Changing the basis
Lecture 4.    Eigenvalues and eigenvectors
Lecture 5.    Autoadjoint operators
Lecture 6.    Linear differential systems
                                Student presentation 1
Lecture 7.    Length and normal of a curve
                                Student presentation 2
Lecture 8.    Functions of several variables
                                Student presentation 3
Lecture 9.    Curvilinear integral
                                Student presentation 4
Lecture 10.  Double integral
                                Student presentation 5
Lecture 11.  Change of variable in a double integral
                                Student presentation 6
Lecture 12.  Green formula
                                Student presentation 7
Lecture 13.  Surface integral
                                Student presentation 8

                 

Bibliography
      Gilbert Strang, Introduction to Linear Algebra, 5th edition, Wesseley, Cambridge Press, 2016.
      Peter Peterson, Classical differential geometry, www.math.ucla.edu/~petersen/DGnotes.pdf.
      Richard Courant, Differential and integral calculus, volume II, Interscience, 1950.


update 23 january 2024