MATHEMATICS - PRACTICE MOD. 2
- Academic year
- 2024/2025 Syllabus of previous years
- Official course title
- MATEMATICA - ESERCITAZIONI MOD.2
- Course code
- ET0045 (AF:514596 AR:289297)
- Modality
- On campus classes
- ECTS credits
- 0 out of 12 of MATHEMATICS
- Subdivision
- Surnames Dl-Pas
- Degree level
- Bachelor's Degree Programme
- Educational sector code
- SECS-S/06
- Period
- 2nd Term
- Course year
- 1
- Where
- VENEZIA
- Moodle
- 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.
Pre-requirements
These topics must be revised by the student 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).
Contents
FIRST MODULE (Mathematics 1)
Domain, limits and derivative of single variable functions.
Single variable optimization.
Integrals.
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.
Referral texts
with code to access the MyLab platform
Mathematics 1: Chapters 0, 1, 2 (preparatory chapters), 3, 4, 5, 6, 7;
Mathematics 2: Chapters 8, 9, 10, 11, 12, 13].
Other teaching material will be made available on the Moodle platform of the course.
Assessment methods
The Mathematics exam (12 credits) consists of two TESTS (one on the Mathematics 1 program and one on the Mathematics 2 program) and two QUESTIONS (one on the Mathematics 1 program and one on the Mathematics 2 program). Each TEST consists of 8 multiple-choice questions (1 point is awarded for each correct answer, a penalty of 0.25 is applied for each incorrect answer, and no points are given for a missing answer).Each QUESTION, an open-ended response, contributes to the final evaluation with a maximum of 8 points. Therefore, the maximum score achievable is 32 out of 30 (allowing for a final grade of 30 cum laude).
During the exam, electronic tools, notes or books are not allowed.
Registration for the exam is mandatory.
During the course, students may be given the option of taking intermediate tests to verify the level of preparation achieved; these tests may be evaluated to integrate or replace the examination.
Teaching methods
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 required to register for the course on the Moodle platform.
Further information
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: disabilita@unive.it.
Type of exam
2030 Agenda for Sustainable Development Goals
This subject deals with topics related to the macro-area "Human capital, health, education" and contributes to the achievement of one or more goals of U. N. Agenda for Sustainable Development