Didattica

Tutoring: Mathematics (economics)

10.10.2019

Review course of Mathematics for Economics

This tutoring is aimed at students enrolled in the 1st year of the Graduate Degree in Economics and Finance (track in Economics).

This course is designed for master students of Economics and Finance at the Department of Economics and Management “Marco Fanno”, University of Padua.

This course offers a review of the main concepts and tools in econometrics to follow better the Mathematics for Economics course in MEF. This course gives students skills for implementation of the mathematical knowledge and expertise to the problems of economics.

Participation in the course is voluntary. However, it is strongly suggested for students that during their previous studies never took a course in Mathematics for Economics or passed a Math exam with equivalent grade less than 90/100. This course is not for credit and under no circumstances it can considered a substitute for all or part of the course Mathematics for Economics

Required Materials
All materials and exercises will be made available by the teacher, through the publication in the Moodle page of the course.

Prerequisites
Its prerequisites are both the knowledge of the single variable calculus and the foundations of linear algebra including operations on matrices, the main concepts of differentiation, gradient and Hessian.

Course Objectives
At the completion of this course, students will be able to:
1. Solve problems of constrained and unconstrained optimization.
2.Apply Dini implicit function theorems
3. Solve systems of differential equations and find their equilibrium points;
4. Use Kuhn-Tucker conditions for solving various economic problems.
5. Apply the necessary conditions of the Pontryagin Theorem for some optimal control problems.


Schedule and daily learning goals
This review course lasts 10 weeks for a total of 20 hours, with 2 hours a week in 1 meeting per week.
- 6 hours of vector algebra (with exercises)
- 6 multivariable calculus
- 8 hours of various topics in advanced mathematics that may require special attention, among which Optimization.

Lecture 01, DATA October, 10, from 12.30 to 14.30
TITLE “Operations with matrices”;

Lecture 02, DATA October, 17, from 12.30 to 14.30
TITLE “Linear systems”;

Lecture 03, DATA October, 24, from 12.30 to 14.30
TITLE “Eigevalues and eigenvectors”;

Lecture 04, DATA October, 31, from 12.30 to 14.30
TITLE “Optimization problems for multivariable functions”;

Lecture 05, DATA November, 7, from 12.30 to 14.30
TITLE “Implicit differentiation, Implicit functions Theorem (Dini)”;

Lecture 06, DATA November, 14, from 12.30 to 14.30
TITLE “Optimization with equality constraints (Lagrange)”;

Lecture 07, DATA November, 21, from 12.30 to 14.30
TITLE “Optimization with inequality and mixed constraints (Kuhn-Tucker)”;

Lecture 08, DATA November, 28, from 12.30 to 14.30
TITLE “Differential equations”;

Lecture 09, DATA December, 5, from 12.30 to 14.30
TITLE “System of differential equations, equilibrium points”;

Lecture 10, DATA December, 12, from 12.30 to 14.30
TITLE “Optimal control”.


Venue: room 45 via Bassi 1


Professor: Soloviova Mariia
E-mail: soloviov@math.unipd.it
Office: room 720
Dipartimento di Matematica "T. Levi-Civita"
via Trieste 63

 

For further information: 
Segreteria didattica Dipartimento di Scienze Economiche e Aziendali "M. Fanno"
Via Ugo Bassi, 1 Padova
tel. 049 827 1230
didattica.economia@unipd.it