Educational objectives Solution of systems of linear equations in an arbitrary number of variables and with coefficients in an arbitrary field. Theory of vector spaces and linear maps. Geometric vectors and their use in solving problems in affine plane geometry. Geometric vectors in three-dimensional space and their use in solving problems in affine geometry. Determinants and their applications. Diagonalization of linear endomorphisms. Euclidean vector spaces. Orthogonal diagonalization. Use of geometric vectors and the standard metric structure to solve metric problems in the plane and in three-dimensional space. Real symmetric quadratic forms.
Expected learning outcomes: Students are expected to engage in continuous learning throughout the course, in parallel with the lectures, supported by office hours and weekly tutoring sessions. Problem sets will be assigned at the end of each week and reviewed during the tutoring sessions. Before each examination, targeted review sessions will be held online; these sessions will be recorded and made available on the course’s e-learning page. Students will be required to use MATLAB and to have successfully completed the MATLAB Onramp course.
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Educational objectives The course aims to provide the theoretical and practical foundations of particulate solids separation techniques and to introduce the main equipment and industrial process circuits employed in the preparation and beneficiation of raw materials. The techniques covered are based on the principles of mechanics, electromagnetism, and fluid mechanics, and are applied to the beneficiation, classification, and separation of primary and secondary raw materials, with the aim of improving their quality and promoting their efficient and sustainable use.
A) Knowledge and understanding: The course provides the theoretical background of unit operations for particulate solids separation and their applications in the preparation and beneficiation of raw materials. Students will acquire knowledge of the physical principles governing separation processes and of the main technologies employed in the mineral processing industries, as well as in the valorization of secondary raw materials within the framework of the circular economy.
B) Applying kwowledge and understanding: Upon completion of the course, students will be able to select the most appropriate physical separation techniques according to the properties of the raw materials to be processed and the objectives of the separation process, as well as to determine the main operating parameters of separation plants. Through numerical exercises and case studies, students will develop the ability to evaluate the efficiency of preparation and beneficiation processes for both primary and secondary raw materials, taking into account the quality requirements of subsequent industrial processing stages.
C) Making judgements: The course is structured according to a logical progression of topics that promotes the gradual acquisition of appropriate scientific and technical terminology. Students will be able to describe and discuss processes, plants, and experimental results using the terminology specific to Raw Materials Engineering, and to communicate effectively with specialists in the field.
D) Communication skills: The theoretical and practical knowledge acquired during the course will provide a solid foundation for further studies in the fields of raw material processing, characterization, and beneficiation. Students will also develop the ability to address new technological challenges critically and to adapt the principles learned to different industrial contexts.
E) Learning skills: the theoretical and practical knowledge of solid separation will allow the student to carried out technical insights on the solid separation methods and to propose new methods working with the laws on which those methods are based on.
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