- Academic year
- 2019/2020 Syllabus of previous years
- Official course title
- Course code
- ET0045 (AF:311164 AR:167605)
- On campus classes
- ECTS credits
- 6 out of 12 of MATHEMATICS
- Surnames A-Di
- Degree level
- Bachelor's Degree Programme
- Educational sector code
- 2nd Term
- Course year
- Go to Moodle page
Contribution of the course to the overall degree programme goals
Expected learning outcomes
Expected learning outcomes.
A) Knowledge and understanding skills:
a.1) to understand the meaning of the concepts of function, derivative, integral
a.2) to know the main techniques of the calculation for functions of one and two variables
a.3) to understand the fundamentals of financial mathematics
a.4) to know the main operations between matrices and the matrix representation of a linear system
B) Ability to apply knowledge and understanding:
b.1) ability to calculate derivatives and simple integrals
b.2) ability to solve simple optimization problems in one or two variables, even with constraints
b.3) ability to solve simple exercises of classical financial mathematics
b.4) ability to set up and solve systems of linear equations
b.5) ability to apply the above knowledge in examples of economic/managerial vocation.
C) Lifelong learning skills:
c.1) improved ability to handle a formal language, to make logic deductions; enhance rigorous rational thinking;
c.2) improved ability to translate a problem into formal terms, solve it and interpret the solution in terms of the original problem.
These topics can be revised by the student, for example, by studying chapters 0, 1 and 2 of the reference textbook and by attending the Additional Learning Requirements of Mathematics courses
(ALR). Some of these topics are also reported in the syllabus of the CISIA tolc-E test for the access to the degree program (see www.cisiaonline.it).
FIRST MODULE (Mathematics 1)
Domain, limits and derivative of single variable functions.
Single variable optimization.
Present and future values in financial mathematics, streams of cash flow.
SECOND MODULE (Mathematics 2)
Functions of several variables.
Unconstrained and constrained optimization with several variables.
Matrix algebra and linear equations systems.
book + MyMATHLAB
e-book + MyMATHLAB
The exam verifies that the students have acquired the concepts presented during the lectures, are familiar with the calculus techniques, have learned the theoretical results in order to use this knowledge and skills in solving assigned exercises.
The written exam consists of 8 exercises: 4 exercises are related to the first module of the course and 4 related to the second module. They are open-ended exercises; at least 4 of the exercises will be taken from the MyMATHLAB platform. During the test, the 4 exercises related to the first part of the course (duration 45 minutes) are first assigned and then, after a 15-minute break, the 4 exercises related to the second part of the course (45 minutes). All problems carry equal number of marks (1/8 of the total score).
In the written exam only the use of your pen is allowed, instead electronic tools, notes or books are not allowed.
Registration for the written tests is mandatory.
A possibility of an intermediate evaluation of the students' preparation level (first partial exam) will be provided at the end of the first teaching period (first 5 weeks), provided that the students solved the exercises assigned weekly on the MyMATHLAB platform which associated to the textbook. The students with sufficient preparation level at this stage (with a score of at least 15/30) will be allowed to answer only to the questions concerning the second module of the course (second partial exam) at the first written exam (primo appello). The final evaluation in this case is obtained as the mean value of the two partial examinations.
The students in their individual work are required to understand and assimilate the basic concepts of the theory, comparing the personal notes of the course with the recommended texts, so as to be able to face and identify the solution of exercises and problems.
In order to develop language precision and a rigorous reasoning, several examples and applications to economics are discussed during the lectures.
Students are also accompanied in carrying out a large number of guided exercises through the use of an online learning platform associated with the used textbook.
Accessibility, Disability and Inclusion
Accommodation and support services for students with disabilities and students with specific learning impairments
Ca’ Foscari abides by Italian Law (Law 17/1999; Law 170/2010) regarding support
services and accommodation available to students with disabilities. This includes students with
mobility, visual, hearing and other disabilities (Law 17/1999), and specific learning impairments (Law 170/2010). If you have a disability or impairment that requires accommodations (i.e., alternate testing, readers, note takers or interpreters) please contact the Disability and Accessibility Offices in Student Services: firstname.lastname@example.org.