Please find below a detailed program which will be updated on a daily basis during the teaching period. 

6/11/2023 Complete analysis of functions. Indefinite integrals.

7/11/2023 Indefinite integrals by reversing the chain rule.

8/11/2023 Indefinite integrals by substitution and by parts

9/11/2023 Practice: Indefinite integrals

13/11/2023 Fundamental theorem of calculus and definite integrals 

14/11/2023 Fundamental theorem of calculus: Exercises, Mean value theorem, Improper integrals

15/11/2023 Improper Integrals, Matrices (definition, sum of matrices)

16/11/2023 Practice: Definite integrals, FTC, Mean Value theorem and Improper integrals

20/11/2023 Matrices: operations and properties

21/11/2023 Matrices: operations and properties. Determinant of a matrix

22/11/2023 Inverse of a matrix: definition, properties and computation. Linear dependence of vectors

23/11/2023 Practice: operations with matrices, determinant, inverse of a matrix 

27/11/2023 Linear dependence and independence of vectors, Rank of a matrix

28/11/2023 Kronecker Theorem, Linear systems

29/11/2023 Rouché-Capelli Theorem  

30/11/2023 Practice: Exercises on Rank and linear systems 

4/12/2023 Cramer Theorem and solutions of linear systems

5/12/2023 Eigenvalues, eigenvectors and definiteness of a matrix

6/12/2023 Fuctions of two variables: domain, level curves, continuity

7/12/2023 Practice: Exercises on Linear systems, Eigenvalues and eigenvectors, functions of two variables

11/12/2023 Functions of two variables: gradient and hessian matrix

12/12/2023 Optimization of functions of two variables 

13/12/2023 Exercises on optimization of functions of two variables

14/12/2023 Practice: Exercises on optimization of functions of two variables