Modules

514 modules

Master's Thesis1

Master's ThesisNo ratings for this module yet.You work independently on a scientific question from Operations Research, either theoretically-mathematically or practically relevant. You develop the necessary background knowledge, model the problem with mathematical methods and develop solution approaches — possibly including implementation or comparison of procedures. In the end you can adequately present the chosen problem, derive a solution and assess its significance as well as its limits.30 ECTSno date this semesterMA6020

A1.1 Optimization4

Nichtlineare OptimierungNo ratings for this module yet.You engage with theory and numerical methods of nonlinear optimization. You will learn advanced methods for unconstrained and, in particular, constrained optimization problems (e.g., SQP, barrier and interior-point methods) and you will be able to assess and apply convergence properties of such methods in the end.5 ECTSruns this semesterMA3503Modern Methods in Nonlinear OptimizationNo ratings for this module yet.You will learn selected modern methods of nonlinear optimization, e.g. convex and non-smooth optimization, interior-point methods, semidefinite programming, robustness concepts and duality. In the end you will be able to understand current research articles on the treated topics and you will be prepared to pursue your own research questions in nonlinear optimization.5 ECTSno date this semesterMA4503Algorithmic Game TheoryNo ratings for this module yet.You will learn the fundamentals of algorithmic game theory at the intersection of computer science, mathematics, and economics. In this module you will deal with algorithmic aspects of game-theoretic solution concepts such as Nash equilibria and with the design of economic mechanisms; in the end you will be able to analyze these concepts algorithmically and in terms of complexity theory.5 ECTSno date this semesterIN2239all 4 in A1.1 Optimization

A1.2 Applied Mathematics7

FunktionalanalysisNo ratings for this module yet.You will learn the basics of functional analysis in Banach and Hilbert spaces. In the end you will be able to analyze linear functionals and bounded as well as compact self-adjoint operators, understand duality, and apply concepts such as weak and weak* convergence.9 ECTSruns this semesterMA3001Probability TheoryNo ratings for this module yet.You will learn the measure-theoretic probability theory for sequences of random variables and martingales. By the end you will be able to understand and apply central results such as the law of large numbers, central limit theorems, and fundamental martingale results.9 ECTSruns this semesterMA2409Numerik der DifferentialgleichungenNo ratings for this module yet.You will learn numerical methods for solving ordinary and simple partial differential equations. Topics include stiff and non-stiff initial value problems, fundamentals of boundary value problems, and methods such as finite differences, finite elements, and spectral methods (focus on 1D, elliptic problems partly in 2D). By the end you will be able to understand, assess and apply basic algorithms on the computer as well as estimate discretization errors.9 ECTSruns this semesterMA3301all 7 in A1.2 Applied Mathematics

Academic Achievements263

Think. Make. Start.No ratings for this module yet.Interdisciplinary CoursesYou work in interdisciplinary teams on a two-week, practice-oriented development project to find innovative product ideas, validate them early prototypically, and lay the groundwork for a potential founding. In the end you will be able to apply user-centered design principles, test market-relevant hypotheses, and present a functional prototype along with a founding idea.6 ECTSruns this semesterMW2245Deutsch als Fremdsprache A1.1No ratings for this module yet.Interdisciplinary CoursesIn diesem Modul erwirbst du Grundkenntnisse in Deutsch als Fremdsprache (GER A1). Du lernst alltägliche Ausdrücke, einfaches Vokabular und grundlegende Grammatik, um dich z. B. beim Einkaufen, im Restaurant oder im öffentlichen Verkehr zurechtzufinden. Am Ende kannst du dich vorstellen, Fragen zur Person stellen und beantworten sowie einfache Alltagssituationen mündlich und schriftlich bewältigen.4 ECTSruns this semesterSZ0337Technical Writing (Engineer Your Text!)No ratings for this module yet.Interdisciplinary CoursesIn this workshop you will learn to compose technical texts efficiently and user-oriented. You will practice material and process understanding for text production, quality management, and verification methods, so that you can create TUM-compliant (Technical, Understandable, Manageable) documents in the end.1 ECTSruns this semesterCLA10412all 263 in Academic Achievements

A1.5 Minor67

Asset ManagementNo ratings for this module yet.A1.5.2 Minor Modules from Other FieldsIn this module you will learn the theoretical foundations of asset management as well as practical applications to solve typical tasks (e.g., portfolio optimization). By the end you will be able to apply risk and utility concepts, optimize portfolios under different constraints, use basic asset-pricing models, and measure portfolio performance.6 ECTSruns this semesterWI000231Efficient Algorithms and Data StructuresNo ratings for this module yet.A1.5.1 Modules in Economy, Computer ScienceYou will learn the fundamentals of analyzing algorithms as well as central data structures and fundamental algorithmic problems. The focus is on runtime and space analysis, various search trees, hashing methods, priority queues, union-find structures, as well as maxflow/mincut and matching algorithms. In the end you will be able to analyze algorithms, assess the efficiency of data structures, and design new solutions for problems.8 ECTSruns this semesterIN2003Data Mining und Knowledge DiscoveryNo ratings for this module yet.A1.5.1 Modules in Economy, Computer ScienceYou will learn methods of Data Mining and Knowledge Discovery: from data sources and quality through preprocessing, visualization and feature selection to correlation, regression, forecasting, classification and clustering. In the end you will be able to select appropriate methods, apply them and critically evaluate them, as well as deepen the foundations independently.3 ECTSruns this semesterIN2030all 67 in A1.5 Minor

A1.3 Mathematics Modules on Special Topics177

Statistical LearningNo ratings for this module yet.A1.3.1 Related to the Study ProgramYou learn the basics and advanced methods of supervised and unsupervised statistical learning. In the end you will be able to understand and apply models for regression and classification, use techniques for dimensionality reduction and cluster analysis, and follow probabilistic formulations of learning problems while designing new algorithms.6 ECTSruns this semesterMA4802Probabilistische Techniken und Algorithmen in der DatenanalyseNo ratings for this module yet.A1.3.1 Related to the Study ProgramYou will learn probabilistic techniques and algorithms used in data analysis for dimensionality reduction and data recovery from incomplete information. In the end, you will understand the basics of random matrices, assess randomized algorithms, and apply and analyze methods such as JL embeddings, compressed sensing, and randomness-based matrix/tensor reconstruction.6 ECTSruns this semesterMA4803Random Graphs and NetworksNo ratings for this module yet.A1.3.1 Related to the Study ProgramYou will learn models of random graphs and how they describe real networks. The focuses are Erdős–Rényi models, generalized random graphs, the configuration model and preferential-attachment models as well as proof techniques for the number of components, degree distribution and distances.5 ECTSruns this semesterMA5436all 177 in A1.3 Mathematics Modules on Special Topics