The following lists collects some textbooks covering the topics of the course. Exercises, exams of preceding years and other material are available on the Home Page of the course in the Teaching Portal.
Argomenti del programma: Laplace transform (10 hours) Differentiating functions of several variables (20 hours) - Review on vectors and elements of topology of R^n. - Functions of several variables, vector fields. - Limits and continuity. - Partial and directional derivatives, Jacobian matrix. - Differentiability, gradient and tangent plane. - Second derivatives, Hessian matrix. - Taylor polynomial. - Critical points, free extrema.
Other material will be suggested in class and made avalaible thorugh the Portale della Didattica.
Argomenti del programma: - Laplace transform. - Numerical series: definition and convergence criteria. Power series and Taylor series. Fourier series. - Review on vectors and elementary notions of topology of R^n. Functions of several variables, vector fields. Limits and continuity. Partial and directional derivatives, Jacobian matrix. Differentiability, gradient, and tangent plane. Second derivatives, Hessian matrix. Taylor polynomial.
Other material will be suggested in class and made avalaible thorugh the Portale della Didattica.
Argomenti del programma: - Laplace transform. - Numerical series: definition and convergence criteria. Power series and Taylor series. Fourier series. - Review on vectors and elementary notions of topology of R^n. Functions of several variables, vector fields. Limits and continuity. Partial and directional derivatives, Jacobian matrix. Differentiability, gradient, and tangent plane. Second derivatives, Hessian matrix. Taylor polynomial.
Other material will be suggested in class and made avalaible thorugh the Portale della Didattica.
Argomenti del programma: - Laplace transform. - Numerical series: definition and convergence criteria. Power series and Taylor series. Fourier series. - Review on vectors and elementary notions of topology of R^n. Functions of several variables, vector fields. Limits and continuity. Partial and directional derivatives, Jacobian matrix. Differentiability, gradient, and tangent plane. Second derivatives, Hessian matrix. Taylor polynomial.
Other material will be suggested in class and made avalaible thorugh the Portale della Didattica.
Argomenti del programma: - Laplace transform. - Numerical series: definition and convergence criteria. Power series and Taylor series. Fourier series. - Review on vectors and elementary notions of topology of R^n. Functions of several variables, vector fields. Limits and continuity. Partial and directional derivatives, Jacobian matrix. Differentiability, gradient, and tangent plane. Second derivatives, Hessian matrix. Taylor polynomial.