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## Mathematics II

 Module name (EN): Mathematics II Degree programme: Civil and structural engineering, Bachelor, ASPO 01.10.2011 Module code: BIBA270 SAP-Submodule-No.: P110-0051 Hours per semester week / Teaching method: 4VU (4 hours per week) ECTS credits: 4 Semester: 2 Mandatory course: yes Language of instruction: German Assessment: Written exam [updated 05.02.2020] Applicability / Curricular relevance: BIBA270 (P110-0051) Civil and structural engineering, Bachelor, ASPO 01.04.2009, semester 2, mandatory course BIBA270 (P110-0051) Civil and structural engineering, Bachelor, ASPO 01.10.2011, semester 2, mandatory course BIBA270 (P110-0051) Civil and structural engineering, Bachelor, ASPO 01.10.2017, semester 2, mandatory course Workload: 60 class hours (= 45 clock hours) over a 15-week period.The total student study time is 120 hours (equivalent to 4 ECTS credits).There are therefore 75 hours available for class preparation and follow-up work and exam preparation. Recommended prerequisites (modules): BIBA151 Mathematics I [updated 07.12.2016] Recommended as prerequisite for: Module coordinator: Prof. Dr.-Ing. Christian Lang Lecturer: Petra Baumann, M.Sc. [updated 07.12.2016] Learning outcomes: _ After successfully completing this module, students will be able to apply integration rules and use integral calculus to solve specific problems such as areas, centres of gravity, moments of inertia. _ They will be able to check linear systems of equations for their solvability and determine solutions those systems. They will be able to solve eigenvalue problems and simple differential equations. They will be able to determine the probability distributions of random variables, as well as calculate expected values and standard deviations. [updated 28.09.2020] Module content: _ Integration (integration rules and methods)  _ Applying integration methods,  _ Matrices, linear dependence, matrix rank, solving systems of equations, eigenvalue problems,  _ Homogeneous and inhomogeneous ordinary differential equations and linear 1st order differential equations, differential equations of higher order _ Calculating probability (discrete stochastic processes, probability measure, random variables, expected value, variance and standard deviation) [updated 05.02.2020] Recommended or required reading: _ Papula: Mathematik für Ingenieure und Naturwissenschaftler, Bd. 1,2,3, Vieweg Haake/Hirle/Maas: Mathematik für Bauingenieure, Bd. 1+2, Teubner-Verlag, Stuttgart _ Rjasanowa: Mathematik für Bauingenieure, Carl Hanser Verlag _ Meyberg, Vachenauer: Höhere Mathematik, Bd. 1, 2, Springer _ Papula: Mathematische Formelsammlung für Ingenieure und Naturwissenschaftler, Vieweg [updated 05.02.2020]
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