Teacher
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PETROSELLI ANNA RITA
(syllabus)
Summary on continuous and derivable functions, integration and linear algebra. • Applications History of EDO • Ordinary differential equations • The Cauchy problem, existence and uniqueness of the solutions • Separate variable equations, first order linear equations • Riccati equations • Bernoulli equations • Linear differential equations of order n homogeneous with constant coefficients • Linear differential equations of order n not homogeneous with constant coefficients • Systems of differential equations, equilibrium points, stability of solutions. • Finite difference equations. • Applications to the economy: Growth models (Harrold, Domar) • Functions in several variables and economic applications: production and cost functions. Analysis of the Cobb-Douglas function. • Optimization problems and programming problems. • Numerical Methods Introduction to Matlab®: variables and constants, scalars, vectors, matrices, operations between matrices, programs and functions. Numerical methods for the solution of systems of linear algebraic equations. Numerical methods for the solution of systems of nonlinear algebraic equations. Numerical methods for the solution of differential equations and systems of differential equations of the first order: Explicit Euler method, Implicit Euler method, Crank-Nicholson method, Runge-Kutta methods. used the following text for any applications in Matlab.
(reference books)
Dispense distribuite durante le lezioni
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