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KNOWLEDGE</h3><p>Mathematics and Statistics</p><h3>TEACHING METHODOLOGY</h3><p>Face-to-face</p><h3>SPANISH MINISTRY’S REGISTRY OF UNIVERSITIES, CENTRES AND DEGREES</h3><p><a href=\"https://www.educacion.gob.es/ruct/home\" target=\"_blank\">RUCT</a></p><h3>ASSURANCE AGENCY</h3><p><a href=\"https://www.acsucyl.es/web/es/programas-evaluacion/buscador-titulos-universitarios-oficiales.html\" target=\"_blank\">ACSUCYL*** – Buscador Títulos Oficiales</a></p><h3><a href=\"https://docs.ie.edu/university/Informes_acreditacion/BAM/CU_BAM.pdf\" rel=\"noopener noreferrer\" target=\"_blank\">TITLE VERIFICATION RESOLUTION (2023)</a></h3><p><br></p><p><small>*European Credit Transfer System</small></p><p><small>**The character of the subjects is defined by the Spanish legislation</small></p><p><small>***Quality Assurance Agency for the University System in Castilla y León</small></p>","editorID":182,"parentEditorID":181},{"component":"StudyPlanLinkModal","text":"Professional Core Competences in Applied Mathematics","description":null,"typeOfLink":"openModal","modal":"<p>In accordance with Royal Decree 822/2021, the learning outcomes of the degree are organised into knowledge or content (C), competences (SC) and skills or abilities (H).</p><h4>Knowledge or content (C)</h4><ul><li>Understand the fundamentals of linear algebra: vector spaces, bases, linear transformations, matrices, determinants, eigenvectors and eigenvalues, etc.</li><li>Know numerical and computational methods for linear algebra: matrix decompositions and direct methods for solving linear systems, iterative methods and singular value decomposition.</li><li>Understand the fundamentals of mathematical analysis for functions of one real variable: limits and continuity, derivatives and their geometric interpretation, Taylor series, antiderivatives, areas and volumes, and the main theorems.</li><li>Understand the fundamentals of vector calculus: representation of functions, gradients and directional derivatives, 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mechanisms.</li><li>Know and understand mathematical language and abstract reasoning in order to convey information precisely and rigorously.</li><li>Acquire basic knowledge of the humanities to complete a well-rounded, cross-disciplinary education.</li><li>Know the entrepreneurial process, its components, its impact and its importance in the macro and micro context of individuals, economies and societies.</li><li>Know innovation methodologies such as Design Thinking and Lean Startup, and the Sustainable Development Goals.</li><li>Know the fundamentals of the critical analysis of models, including criteria for their validation, evaluation and suitability for the phenomena they describe.</li><li>Know the mathematical language and scientific rigour needed to formulate problems from science, engineering or the social sciences in mathematical terms.</li><li>Know the main computer tools for solving the mathematical models proposed by students.</li><li>Know physical and digital bibliographic sources and resources for solving problems in unfamiliar environments or with limited information.</li><li>Know the working methodology in science and engineering, reaching the forefront of knowledge.</li></ul><h4>Competences (SC)</h4><ul><li>Integrate the theoretical foundations of the main fields of mathematics and statistics (algebra, geometry, analysis, probability, statistics, optimisation, etc.) to analyse and solve problems.</li><li>Formulate and analyse mathematical models that help address specific problems in a variety of sectors of society and technology.</li><li>Apply a data-driven approach to problem solving, being able to process and interpret data, build statistical models and quantify uncertainty.</li><li>Understand how probability theory and statistics are used to extract and process information from data and to quantify the associated uncertainty.</li><li>Understand the basic methodology and scope of operations research, identify the components of an optimisation problem and apply a wide range of algorithms and techniques to solve real problems.</li><li>Acquire programming knowledge and computing skills to perform quantitative calculations, being able to implement complex algorithms and discuss their efficiency and range of application.</li><li>Evaluate the main artificial intelligence and machine learning algorithms, being able to implement these models and to discuss and understand their impact on other disciplines.</li><li>Acquire a global, cross-disciplinary approach to technical knowledge from a broader perspective, being able to critically analyse the main challenges of today's world and propose creative and innovative ideas.</li><li>Acquire the broad vision, language and grounding needed to collaborate in other fields of knowledge, forming multidisciplinary partnerships in which technical knowledge is only part of the solution to problems.</li><li>Ability to work actively in a team towards a common goal, both in a supporting role and leading decision-making.</li><li>Apply knowledge to work in a professional manner and possess the competences usually demonstrated by developing and defending arguments and solving problems within the field of study.</li><li>Analyse the approaches, ideologies and responses to the problems that societies have faced throughout history, providing students with frameworks and knowledge from which to address current and future challenges.</li><li>Assess the impact that disruptive technologies are having on solving some of the most pressing social challenges and on businesses.</li><li>Develop entrepreneurial mindsets to devise, validate and develop innovative models that can be applied to social challenges, providing sustainable solutions.</li><li>Identify one's own training needs in mathematics in order to grow in the workplace or profession and find resources to organise one's own learning with a high degree of autonomy.</li><li>Have the professional maturity and critical thinking needed 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