MATHEMATICS FOR ECONOMICS

Second cycle degree in ECONOMICS AND FINANCE

Campus: PADOVA

Language: English

Teaching period: First Semester

Lecturer: ALESSANDRA BURATTO

Number of ECTS credits allocated: 9


Syllabus
Prerequisites: Basic calculus, Differential calculus, Integrals, Basic Linear Algebra
Examination methods: Homework - Written test and oral exam.
Course unit contents: - Calculus of a Single Variable: differentiation and optimization of real-valued functions of a single variable, (a brief review)
- Vector Algebra: matrices and linear systems (review), eigenvalues and eigenvectors
- Multivariable Calculus: Differentiation of Real-Valued Functions of several variables, Concave and Quasiconcave functions
- Optimization (unconstrained and constrained): Equality constraints: Lagrange Method (review), Inequality constraints: Kuhn-Tucker conditions, Envelope theorem, Comparative statics
- Fixed Point Theorems and Applications: Brouwer’s and Kakutani’s theorems, Implicit function theorem
- Differential Equations: ODE systems, dynamic systems
- Dynamic Programming: Hamilton Jacobi Bellman equation