Università degli Studi di Perugia

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Unit PRINCIPLES MATHEMATICS

Course
Business administration
Study-unit Code
GP002885
Location
TERNI
Curriculum
In all curricula
Teacher
Flavio Angelini
Teachers
  • Flavio Angelini - Didattica Ufficiale
Hours
  • 63 ore - Didattica Ufficiale - Flavio Angelini
CFU
9
Course Regulation
Coorte 2018
Offered
2018/19
Learning activities
Base
Area
Statistico-matematico
Sector
SECS-S/06
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
Italian
Contents
Basic concepts of real functions, study of graphs and optimization.
Reference texts
Simon and Blume, Matematica generale, a cura di A. Zaffaroni, Egea 2007
Educational objectives
Knowledge of basic concepts of mathematics and ability to solve quantitative problems in economics.
Teaching methods
Theoretical lessons and exercise sections
Other information
Course Web page on Elearning Unistudium platform https://www.unistudium.unipg.it/unistudium/course/view.php?id=12140
Learning verification modality
Written and oral exam
Extended program
Functions: general definitions and example. Traslation of graphs. Composite functions, inverse functions.

Limit and derivative. Properties of limits. Calculus of limits. Differentiability and continuity. Theorems on continuous functions. Calculus of derivatives. Approximation with differential.

Use of derivative: sketch of the graph of a function. Local extrema. Second derivative and convexity. Optimization, absolute max and min. Taylor polynomial. The model of consumer choice.

Basics on multivariate functions. Graph, level curves. Partial derivatives and their interpretation. Constrained and unconstrained optimization.
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