Study-unit PRINCIPLES MATHEMATICS

Course name Business administration
Study-unit Code GP002885
Location TERNI
Curriculum Comune a tutti i curricula
Lecturer Flavio Angelini
Lecturers
  • Flavio Angelini
Hours
  • 63 ore - Flavio Angelini
CFU 9
Course Regulation Coorte 2022
Supplied 2022/23
Supplied other course regulation
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
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. The model of consumer choice.

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