Unit CALCULUS FOR TOURISM

Course
Economics of tourism
Study-unit Code
A003001
Location
ASSISI
Curriculum
In all curricula
Teacher
Andrea Capotorti
Teachers
  • Andrea Capotorti
Hours
  • 63 ore - Andrea Capotorti
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
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
K. Sydsæter, P. Hammond, A. Strøm, A. Carvajal: Metodi matematici per l’economia. Pearson Ed.
Additional notes on Unistudium
Possibility of deepening and exercises on MyLab website from Pearson
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 solutions of prototypical exercises to better understand the theoretical 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 exam contains between 3 and 6 problems, depending on the difficulty of their solutions and on the exhaustiveness of the exam.

Each problem will have an explicit maximum score obtainable by a right and well explained solution.

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.
For students with Specific Learning Disorders and/or Disabilities please refer to the web page: http://www.unipg.it/disabilita-e-dsa
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; continuous 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.
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