Tom M. Apostol: Calculus, volumes 1 and 2, Wiley, 1991
Obiettivi Formativi
The class is aimed to provide students with a basic knowledge of mathematical methods naturally applied in Economics Analysis and Modelling
Prerequisiti
Basic Calculus I :
- real numbers
- real line topology
- continuous and differentiable real valued functions of a single real variable
Metodi Didattici
traditional ex cathedra lectures
Altre Informazioni
Important Note I
Students must attend a 16 hours Preliminary Course which will be tentatively thaught from September 11th to September 23rd , 2017, and will cover the following topics:
- Vector Spaces R2, R3, Rn
- Matrices
- Systems of Linear Equations
- Topology of the Real Line
Important Note II
The final program will be personalized on the basis of previous mathematical training and acquired knowledge of each student enrolled in the class
Modalità di verifica apprendimento
written and oral finals
Programma del corso
Program
1. Basic Linear Algebra
2. Complex Numbers
3. Eigenvalues and Eigenvectors
4. Complements of Calculus I - Sequences and Series in R1
5. Complements of Calculus I - Riemann’s Integral for One Variable Real Valued Functions
6. Elements of Metric Spaces Topology
7. Basic Normed Linear Spaces
8. Calculus II - Functions from R1 to Rm
9. Calculus II - Functions from Rn to R1
10. Calculus II - Unconstrained and Constrained Optimization for Functions from Rn to R1
11. Calculus II - Functions from Rn to Rm