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Program

EN IT

Updated A.Y. 2022-2023

Calculus

- Integral Calculus. Definite and indefinite integrals, Integral properties, The fundamental theorem of calculus, Integration by parts and integration by substitution, Improper integrals.

Linear Algebra

- Linear Spaces. The algebra of vectors, Euclidean Spaces, Inner product, Linear independence.

- Matrices. Matrix algebra, Determinant, Inverse Matrix. 

- Systems of Linear equations. The Gauss Elimination Algorithm, Rouche Capelli theorem.

- Eigenvalues and eigenvectors, Diagonalization.

Optimization

- Calculus of several variables. Domain, Partial derivatives, gradient, hessian matrix. Stationary points. Countour curves.

- Unconstrained optimization. First and second order conditions

- Constrained optimization with Equality constraints. First and second order conditions

- Optimization on a set

 

Suggested Books:

Knut Sydsaeter, Peter Hammond and Arne Strom, Essential Mathematics for Economic Analysis

Carl P. Simon, Lawrence Blume, Mathematics for Economists

Teaching Material

Available on the webpage of the course and on Teams:

  • Slides of the course
  • Additional Exercises

The final Syllabus will be available only at the end of the course. 

You can find below a detailed program which will be update on a daily basis during the teaching period.