# MATHEMATICS - 1

2017/2018
Official course title
MATHEMATICS - 1
Course code
ET2018 (AF:257915 AR:149842)
Modality
On campus classes
ECTS credits
6 out of 12 of MATHEMATICS
Degree level
Bachelor's Degree Programme
Educational sector code
SECS-S/06
Period
1st Term
Course year
1
Where
VENEZIA
This course provides an introduction to calculus for functions of one or more real variables as well as to linear algebra. Several examples and models from economics are discussed to help students acquire a habit for rigorous reasoning and precise language.
Topics usually taught in secondary school are assumed to be well known, and all the topics which are covered by the course Additional Learning Requirements in Mathematics (ALR). In particular the first five chapters of the textbook are assumed to be known.
Part I: Functions of one variable. Differentiation. Derivatives in use. Single-variable optimization. Discrete mathematics. Interest rates and present values.

Part II: Functions of many variables. Tools for comparative statics. Multivariable optimization. Constrained optimization. Matrix and vector algebra. Linear Programming.
K. Sydsaeter, P. Hammond and A. Strom, Essential Mathematics for Economic Analysis (fifth edition), pagg. 745, Pearson, 2016 (chapters 6-17).
written
Written exam with five exercises concerning all the material of the course with a maximum score of six points per exercise. Two partial examinations, both with three exercises and a maximum score of ten points per exercise, will be held at the end of the first and second period. The final score will be the mean of the two partial scores, but a minimum of 15 points for each partial is required. If the final grade at the full exam or as the result of the mean of the partials is 16/30 or more, students can ask for a supplementary oral examination in order to pass the exam or to improve the evaluation. It is understood that the final grade after the oral exam may be lower or higher than the grade achieved in the written exam.
The time allowed for the full exam will be two and a half hours, for each partial one and a half hour.
Lectures and practice sessions.
English
• University credits of sustainability: RI
• Lecture notes, material for reference or for self-assessment available online or as e-book
• E-learning, moodle platforms
Last update of the programme: 12/09/2017