- Docente: Arsen Palestini
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Economics (cod. 8408)
Course contents
First week
Analytic geometry: line, parabola, circle in the cartesian plane.
Trigonometry: trigonometric functions and related properties.
Real functions of one variable: elementary functions, domain, limits, continuity, derivatives, composite and inverse functions, concavity and convexity, graph of a function, Taylor series, de¯nite and inde¯nite integrals.
Second week
Linear algebra: systems of linear equations, vectors and matrices, rank, determinant, linear independence, eigenvalues and eigenvectors.
Real functions of several variables: domain, continuity, partial derivatives, Hessian matrix.
Static optimization: stationary points, maxima and minima, saddle point, optimization problems with equality and inequality constraints.
Readings/Bibliography
1. Blume, Lawrence and Carl Simon, 1994, Mathematics for Economists, Norton.
2. Chiang, Alpha C. and Kevin Weinwright, 2005, Fundamental Methods of Mathematical Economics, McGraw-Hill.
Office hours
See the website of Arsen Palestini