Unit CALCULUS
- Course
- Economics of tourism
- Study-unit Code
- 20004309
- Location
- ASSISI
- Curriculum
- In all curricula
- Teacher
- Andrea Capotorti
- Teachers
-
- Andrea Capotorti
- Hours
- 63 ore - Andrea Capotorti
- CFU
- 9
- Course Regulation
- Coorte 2021
- Offered
- 2021/22
- 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
- Elementary real functions and their shifting. Differential calculus and full function’s study. Theory of integration and its meaning. Linear algebra. Hints on optimization problems in economy.
- Reference texts
- Angelo Guerraggio: Matematica (3rd edition). Pearson Ed.
- Educational objectives
- To learn and understand basic notions for the analysis of elementary real functions and linear algebra. To learn the logical/mathematical formalism. To be able to fully understand graphics and formula.
- Prerequisites
- To be able to follow and understand the course it is mandatory:
- to be able to compute and manipulate equalities and inequalities of I and II degree;
- to manipulate algebraic expressions. - Teaching methods
- Standard lectures on all the subjects and explicit solution of prototypical exercises to better understand the thoretical parts and to be able to face the written examination
- Other information
- For students with Specific Learning Disorders and/or Disabilities please refer to the web page: http://www.unipg.it/disabilita-e-dsa
- Learning verification modality
- Written examinations designed to evaluate abilities to face and solve formal problems expressed in mathematical language.
The eximinations contain between 3 and 5 porblems depending on the difficulty of their solutions and on the exaustiveness of the exam. The examination can be splitted in two partial parts for those who will follow the lectures, or be full for all the others.
Each examination should be completed before 2 hours.
Those who will receive a grade between 15 and 17, to pass the exam should pass a further written additional test. Exercises will be on subject and of the kind explained in the lectures. - Extended program
- Basic notions: sets; functions; composed functions; power, exponential and logarithmic functions.Differential calculus: derivative and its economic applications; elementary functions’ derivatives; derivation rules.Deepenings: functions’ local approximation; derivative and monotonicity, derivative sign study; limits; continuos functions.Economic applications: marginality, increasing rates, function’s elasticity.Integral calculus: definite and indefinite integrals; fundamental theorem of integral calculus, economic applications: cash flows, consumer and producer surplus.Optimization: optimum problems; free and constrained maxima and minima.Linear algebra: vectors operations, scalar product.