. "Linear algebra"@en . . "6.0" . "Objectives\nMaster matrix calculus and methods for solving systems of linear equations. Learn about vector spaces and linear transformations. Study canonical forms of matrices, eigenvectors, eigenvalues and singular values. Study applications of the previous subjects.\n\nProgram\nGauss and Gauss-Jordan elimination applied to the solution of linear systems. Matrices, inverse matrices and determinants. Definition and examples of vector spaces. Linearly independent sets. Linear transformations. Nullspace (kernel) and range of a linear transformation. Solution space of a linear equation. Eigenvectors and eigenvalues. Algebraic and geometric multiplicity of an eigenvalue. Jordan canonical form. Applications (e.g. systems of linear ordinary differential equations with constant coefficients, stability of linear dynamical systems, Markov chains, PageRank algorithm). Inner product spaces. Gram-Schmidt orthogonalization. The least squares method. Spectral theorem. Orthogonal, unitary and hermitean linear transformations. Singular value decomposition of a linear transformation between euclidean spaces. Classification of quadratic forms.\n\nEvaluation Methodology\nExam/tests, possibly with minimum grade, complemented with continuous evaluation components and oral evaluation for grades above 17 (out of 20).\n\nCross-Competence Component\nThe UC allows the development of transversal competences on Critical Thinking, Creativity and Problem Solving Strategies, in class, in autonomous work and in the several evaluation components. The percentage of the final grade associated with these competences should be around 15%.\n\nLaboratorial Component\nNot applicable.\n\nProgramming and Computing Component\nNot applicable.\n\nMore information at: https://fenix.tecnico.ulisboa.pt/cursos/lerc/disciplina-curricular/845953938489996" . . "Presential"@en . "TRUE" . . "Algebra"@en . . . . . . . . . . . . . . . . . . . . . "Bachelor in Telecommunications and Informatics Engineering"@en . . "https://tecnico.ulisboa.pt/en/education/courses/undergraduate-programmes/telecommunications-and-informatics-engineering/ " . "180"^^ . "Presential"@en . "Programme Overview\nTelecommunications and Informatics Engineering is dedicated to “Internet Engineering”, namely the so-called “internet of things”, which allows us to interact with various objects, such as refrigerators, heating our homes or products for sale in a supermarket. As such, a Telecommunications and Informatics Engineer works with complex, fixed or mobile communication networks and related infrastructures. It also develops services or applications, knowing the related security aspects.\n\nEntry Requirements - National Admission to Higher education\n\n* National Admission Exams: Mathematics A + Physics and Chemistry (Minimum grade point: 100 points (out of 200))\n* Application Grade: MS x 50% + PI x 50% (Minimum grade point: 120 points (out of 200))\n - MS: high school final arithmetic average grade | PI: Average of national admission exams’ grades.\n\nhttps://tecnico.ulisboa.pt/en/education/study-at-tecnico/applications/national-admission-for-higher-education/ \n\nAdmissions can also be done through one of the following ways:\n\n* Course Change and Transfer\n* Holders of Middle Level/Higher Education degrees\n* Applicants over the age of 23\n* Special Admission Regime for International Students\n\nMore information about admissions to Técnico (national and international candidates) is available at: https://tecnico.ulisboa.pt/en/education/study-at-tecnico/applications/"@en . . . "3"@en . "FALSE" . . . "Bachelor"@en . "Thesis" . "697.00" . "Euro"@en . "7000.00" . "None" . "Fields:\n\n* Telecommunications companies\n* Information technology companies\n* Government agencies\n* Research and development organizations\n* Consulting firms\n* Start-ups\n\nThe average salary for a telecommunications engineer in Portugal is €35,000 per year. The average salary for an informatics engineer in Portugal is €30,000 per year.\n\nSome of the possible positions:\n\n* Telecommunications engineer\n* Network engineer\n* Systems engineer\n* Software engineer\n* Data scientist\n* Cyber security engineer"@en . "1"^^ . "TRUE" . "Midstream"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .