I. To acquire a good knowledge of the theory for series and sequences of functions in R.
II. To develop and acquire the methods in the theory of continuous and regular functions in several real variables.
II. To develop and acquire the methods in the theory of continuous and regular functions in several real variables.
teacher profile teaching materials
Fundamentals of Topology in R^n. Functions of Several Variables, Limits, and Continuity. Open, Closed, Connected, and Compact Sets. Heine-Borel, Weierstrass, and Heine-Cantor Theorems. Functions of Several Variables: Differentiability of C^k Functions. Definition of the P-th Derivative Tensor. Taylor's Formula with Integral Remainder, Lagrange Remainder, and Peano Remainder. Local Maxima and Minima. The Implicit Function Theorem.
Fruizione: 20402076 AM210 - ANALISI MATEMATICA 3 in Matematica L-35 R N0 PROCESI MICHELA, CORSI LIVIA
Programme
Sequences and Series of Functions: Uniform and Total Pointwise Convergence, Limit Passage in the Integral and Derivative, Uniform Convergence Criteria. Power Series and Analytic Functions. Matrix Exponential. Fourier Series: Basic Definitions, Bessel's Inequality, Riemann-Lebesgue Lemma. Pointwise Convergence of the Fourier Series for Piecewise Regular Functions.Fundamentals of Topology in R^n. Functions of Several Variables, Limits, and Continuity. Open, Closed, Connected, and Compact Sets. Heine-Borel, Weierstrass, and Heine-Cantor Theorems. Functions of Several Variables: Differentiability of C^k Functions. Definition of the P-th Derivative Tensor. Taylor's Formula with Integral Remainder, Lagrange Remainder, and Peano Remainder. Local Maxima and Minima. The Implicit Function Theorem.
Core Documentation
Analisi Matematica II, Giusti - Analisi Matematica II, ChierchiaFruizione: 20402076 AM210 - ANALISI MATEMATICA 3 in Matematica L-35 R N0 PROCESI MICHELA, CORSI LIVIA
