Unit PRINCIPLES MATHEMATICS
- Course
- Business administration
- Study-unit Code
- GP002885
- Location
- TERNI
- Curriculum
- In all curricula
- Teacher
- Flavio Angelini
- Teachers
-
- Flavio Angelini
- Hours
- 63 ore - Flavio Angelini
- CFU
- 9
- Course Regulation
- Coorte 2022
- Offered
- 2022/23
- Learning activities
- Base
- Area
- Statistico-matematico
- Academic discipline
- 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.