- Docente: Emanuele Mingione
- Credits: 12
- SSD: SECS-S/06
- Language: Italian
- Moduli: Emanuele Mingione (Modulo 1) Diego Alberici (Modulo 2)
- Teaching Mode: In-person learning (entirely or partially) (Modulo 1); In-person learning (entirely or partially) (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Economics and Finance (cod. 8835)
Learning outcomes
At the end of the course the student will be capable of using the techniques of Linear Algebra; furthermore he will have acquired a working knowledge of First Year Calculus, together with the related applications in Finance and Economics.
Course contents
- Introductory lecture: mathematics for economics and finance, how and why. Structure of the course, practical information on lectures, homework and exams. Foundations.
- W1: crash review of preliminary mathematical notions.
- W2: limits and continuity.
- W3: differentiation.
- W4: trascendental functions, complex numbers.
- W5: applications of differentiation.
- W6: integration.
- W7: techniques and application of integration.
- W8: vectors in 2, 3 and n dimensions.
- W9: linear algebra, matrices and determinants.
- W10: linear algebra, eigenvalues and eigenvectors.
- W11: functions of many variables, gradient, tangent plane.
- W12: extrema, Hessian, Lagrange multipliers.
- W13: probability in economics and finance.
- W14: entropy and information.
Readings/Bibliography
Textbook: Calculus, a complete course.
Authors: Robert A. Adams, Christopher Essex. Eighth Edition.
Publishing house: Pearson. ISBN: 978-0-321-78107-9
Teaching methods
60 hours of class lectures, homeworks
Assessment methods
Written exams, homeworks, class participation. It's allowed to reject the grade.
Teaching tools
Teaching Tutor
Office hours
See the website of Emanuele Mingione
See the website of Diego Alberici