Subject: MATHEMATICAL ANALYSIS (A.A. 2020/2021)
Unit Analisi matematica
Verifica preparazione iniziale
Educational aims: (Dublin descriptors)
- knowledge and understanding: the aim of the course is to provide students with the basic tools of differential and integral calculus for functions of a real variable, with particular emphasis on the part of the Analysis related to natural numbers (induction principle, sequences, numerical series). At the end of the course the students will have to acquire the theoretical contents and the own methodologies of the Mathematical Analysis.
- application of knowledge and understanding - autonomy of judgment: at the end of the course students must know how to apply in a conscious way the concepts learned to solve problems of various kinds, even applied problems, based on mathematical models and should be able to identify the most appropriate methods to solve the proposed problems, motivating their choices.
- communication skills: students have to be able to communicate effectively and in a proper way, by showing logical-argumentative and synthesis skills.
On the basis of previous experience (for some years the course has been part of the experimental project "Competence Based Learning and Learning (CBLT)" activated by Unimore for the three-year period 2016-2018) some activities will be scheduled in order to let students acquire soft skills by means of teaching strategies aimed at enhancing problem solving and team working. More details will be given on the Dolly page of the course
Fractions, roots, powers, equations, inequalities, absolute value, logarithms, exponentials, trigonometric functions
These notions are absolutely FUNDAMENTAL in order to be able to follow the course. Beside the requirement of OFA to be overcome in order to be able to have access to the written parts of the course, starting from academic year 2019/2020 a new test has been required, named "prova prerequisiti": this consists in 4 question (requiring an open answer, not a multiple choice to be done in 20 minutes) each of it to be evaluated with maximum 2,5 points. To overcome the "prova prerequisiti" a student should get at least 7/10.
Along the academic year, the "prova prerequisiti" will be held separately from the other written tests while during the exams sessions it will be part of it. If the "prova prerequisiti" will not be overcome, then the corresponding written test will not be evaluated.
The first part of the course provides the basic knowledge of all that part of the Mathematical Analysis mainly linked to natural numbers: the induction principle, sequences and numerical series; in the second part of the course the general principles of differential and integral calculus for functions of a variable will be developed.
The lessons of the course will be provided in streaming, remotely. If there will be the possibility, some activities that will require working groups will also be given via google meet; these activities are not mandatory and will provide an incentive on the final exam; finally, whenever possibile, some tutorial activities will be also included. More details will be given on the Dolly page of the course.
The assessment of learning is based on a written test divided into two parts and an oral exam. The two written parts are named "prova propedeutica" and "prova resto". More details are given on the pdf file "Regole d'esame" present on the Dolly page of the course. In order to be able to have access to the written parts of the test, a student should have overcome firse (in the following order) the OFA test and the "prova prerequisiti" test.
At the end of the course the students will have to know the theoretical contents and have acquired the own methodologies of the Mathematical Analysis, specifically in relation to the program of differential and integral calculus for functions of a variable
Dispense del corso