Educational objectives GENERAL OBJECTIVE
Aim of this course is to learn the basic ideas and techniques of differential and integral calculus in one variable, including numerical sequences and series, ordinary differential equations and complex numbers. With a practical approach, the students can develop those basic skills that are fundamental for the comprehension of more advanced courses in Mathematics, Physics and Engineereing . The objective is pursued by means of classical frontal lessons where the students are encouraged to an active attendance.
SPECIFIC OBJECTIVE
1) Knowledge and understanding: To know the basic ideas of Mathematical analysis in one real variable, with emphasis on logical reasoning, on text comprehension, and to the achievement of those skills necessary in order to solve concrete problems.
2) Applying knowledge and understanding: To use the learned tools to solve problems in Mathematical Analysis and discuss concrete examples; to develop those skills that are necessary in order to apply Mathematical Analysis to the solution of scientific problems, in particular in mechanics.
3) Making judgement: To decide the most appropriate approach to solve a specific problem; to classify those mathematical problems usually faced in pure and applied science.
4) Communication skill: To learn to describe the solution of a mathematical problem, pointing which thecniques can be used, justifying the intermediate steps and uderlining the logical reasonings.
5) Learning skill: To develop the necessary skills to learn Mathematical Analysis with the objective that the student can face most advanced courses.
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Educational objectives General objectives.
The aim of this course is twofold: on one side, the student will learn the fundamental tools of linear algebra, such as linear systems and diagonalization of matrices; on the other side, he will apply these tools to the study of various problems, in particular, to analytic geometry in the Euclidean plane and space. This knowledge is important in order to understand the subsequent courses in mechanical engineeering. The approach is concrete, and is based on many numerical examples which will ease the understanding of the concepts, but a non-secondary part of the course is devoted to contents which are more abstract and theoretical, and which will train the student to rigorous thinking. The lessons are delivered in a classroom, and the student is invited to actively participate with questions and exercises to be discussed later in the classroom or assisted by tutors.
Specific objectives.
1) Knowledge and understanding. Basic techniques of linear algebra, matrices and diagonalization. Applications to modelization of geometric problems and to the development of geometric intuition. Introduction to more abstract algebraic structures and to their methodology (mainly, vector spaces).
2) Applying knowledge and understanding. Using the concepts learned in the course to solve geometric problems, but not only; the emphasis is on the capacity to approach a geometric problem intuitively, and then proceed, in a rigorous way, with the algebraic tools just learned.
3) Making judgements. The usual attitude of the first year student is to memorize the techniques and work on a large number of exercises. In the course we will insist on a more critical, rather than mnemonic, attitude; this will be obtained by encouraging the student to look for different strategies of problem solving, and to realize possible mistakes or contradictions by analysing the coherence of the results obtained.
4) Communication skills. The emphasis is on clarity and completness of communication. Particular attention is given to the conciseness and simplicity of presentation.
5) Learning skills. The aim is to develop the tools in mathematics and logic which are necessary to approach problems which will be, in the future, very different from the specific exercises proposed in the course. Once again, the scope is to develop a critical capacity and a creative attitude.
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Educational objectives SOLID MODELING: Objectives
The purpose of the module is: 1) teaching how to model mechanical components and assemblies via 3D CAD; 2) understanding the role of digital models and digital mock-ups in industrial engineering.
INDUSTRIAL TECHNICAL DRAWING: Objectives
To understand the role of technical drawing in mechanical design and the ISO/UNI standard of representation, starting from the basic mechanical components (machine elements, supports and bearings, threaded connections, electrical motors, ...). To know how carrying out and understanding preliminary or executive drawings. To know the meaning and methods of representation for dimensional, geometric and microgeometric tolerances.
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Educational objectives Provide students with the most common linguistic basis for orientation in the field of scientific communication in writing.
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Educational objectives In this course the student's preparation of the first course of Mathematical Analysis will be completed, giving him the necessary tools concerning the Mathematical Analysis in multidimensional real spaces. Concepts of limit, continuity, derivative, differential and integral are extended to multidimensional spaces. Curves, surfaces and linear differential forms are introduced in the plane and the space. Particular attention is devoted to Gauss-Green, divergence and Stokes theorems in the plane and the space which permit to connect for example the curvilinear integral of a linear differential form to a surface integral of an appropriate function. Optimization problems are also solved, making use of Lagrange multipliers, thus of the implicit function theorem, in the search of minima and maxima for functions with constraints. Finally functional sequences and series are treated, expecially Taylor and Fourier series. The basic request of the course lies in the practical use of these mathematical tools, besides a deep understanding of the theoretical background. The aim of the course is to develop the logical and methodological abilities of the student to understand and correctly approach physical and engeneering problems in his following studies. The student will in fact be trained to understand a text and efficiently solve a problem by using the most suitable and effective tools. He is also expected to learn a methodological attitude.
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Educational objectives The course “Physics 1” is an introduction to the principle of Mechanics, Statics and Dynamics of Fluids, Oscillation and Thermodynamics, providing the fundamental knowledge pertaining to classical physics, from both a theoretical and an experimental perspective.
The course has been organized to fulfill the following learning objectives:
- introduction of the basic methodology of the scientific method and measurement;
- understanding of point particle classical mechanics;
- acquisition and comprehension of the laws and principles of dynamics and statics of rigid bodies;
- acquisition of the fundamental laws regulating the statics of fluids;
- understanding of oscillatory phenomena;
- understanding of the fundamental principles of thermodynamics.
The course is meant to introduce the basic methodologies of Experimental Physics, aiming at developing the ability to identify the essential aspects of the physical phenomena as well as the logical-critical abilities which will allow student to propose and/or verify the phenomenological models necessary to represent them.
At the end of the course, students should have acquired an adequate knowledge of the basics of point mechanics, point systems and rigid bodies, and have assimilated the fundamentals of classical thermodynamics. Students will also acquire a deep knowledge of conservation principles, force fields and their specific properties and elementary models of complex mechanical systems.
At the end of the course, the main abilities acquired by students (being able to apply the theoretical knowledge acquired, accordingly with the Dublin Descriptor 2, and taking proper decisions about the methodological approaches to adopt, accordingly with the Dublin Descriptor 3) will result in the ability to model basic and complex physical phenomena, solve exercise and problems and develop simple demonstrations based on the extension and application of the acquired competences.
LEARNING OUTCOMES EXPECTED
At the end of the course, students are expected to have apprehended the theoretical and experimental foundations of Classical Physics and its fundamental laws. Moreover, they must have acquired the ability to apply the laws of Newtonian mechanics and classical thermodynamics to solve specific problems. An important expected result is related to the comprehension of the scientific method and the main research methods in Physical Sciences, as well as the ability to effectively discuss the subjects studied during the course.
Through the acquisition of the learning objectives identified above, students will be able to effectively interpret and describe the problems related to the course’s core disciplines.
The learning outcomes can be summarized as follows:
Knowledge and comprehension: acquisition of the theoretical and experimental bases of mechanics and thermodynamics; critical understanding of their laws; introduction to the scientific method and to the nature and research methods in Physics.
Practical application of the acquired knowledge: ability to identify the essential elements that constitute a phenomenon, in terms of order of magnitude and approximation level required; ability to apply laws and theories to concrete situations and solve related problems.
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Educational objectives The Chemistry course has an irreplaceable educational importance for all the Faculties with Scientific or
Technical address.
The goal that arises in this course is to explain the topics of general chemistry, both in experimental and
theoretical aspects, along with the fundamentals of inorganic chemistry and some mention of organic
chemistry.The student will acquire the ability to interconnect with the topics related phenomena to the behavior of
matter and materials, with reference to vocational.
The student will be enabled to understand and evaluate the chemistry, thermodynamics and structure of
matter connected with the teachings of the subsequent degree course.
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