Bachelor in Economics and Finance:


CALCULUS AND LINEAR ALGEBRA


Academic Year 2016-2017

Time: ...
Place: Room 1, Department of Economics, Piazza Scaravilli 2, ground floor

Textbook: "Calculus" a complete course. Authors: Robert A. Adams, Christopher Essex. Eighth Edition. Publishing house: Pearson. ISBN: 978-0-321-78107-9

Academic Team: Pierluigi Contucci, Professor; Emanuele Mingione, Assistant Professor; Rachele Luzi, Teaching Tutor.

Prospective Syllabus:
- 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.

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