# Search result: Catalogue data in Spring Semester 2020

Number Title Type ECTS Hours Lecturers Materials Science Bachelor 4. Semester Basic Courses Part 2 Examination Block 4 401-0654-00L Numerical Methods O 4 credits 2V + 1U R. Käppeli Abstract The course introduces numerical methods according to the type of problem they tackle. The tutorials will include both theoretical exercises and practical tasks. Objective This course intends to introduce students to fundamental numerical methods that form the foundation of numerical simulation in engineering. Students are to understand the principles of numerical methods, and will be taught how to assess, implement, and apply them. The focus of this class is on the numerical solution of ordinary differential equations. During the course they will become familiar with basic techniques and concepts of numerical analysis. They should be enabled to select and adapt suitable numerical methods for a particular problem. Content Quadrature, Newton method, initial value problems for ordinary differential equations: explicit one step methods, step length control, stability analysis and implicit methods, structure preserving methods Literature M. Hanke Bourgeois: Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens, BG Teubner, Stuttgart, 2002.W. Dahmen, A. Reusken: Numerik für Ingenieure und Naturwissenschaftler, Springer, 2008.Extensive study of the literature is not necessary for the understanding of the lectures. Prerequisites / Notice Prerequisite is familiarity with basic calculus and linear algebra. 401-0164-00L Multilinear Algebra and Its Applications Planned to be offered for the last time in the Spring Semester 2021. O 3 credits 2V + 1U L. Halbeisen Abstract Review of the basic concepts of linear algebra, including vector spaces, linear and multilinear maps. Introduction to tensors and multilinear algebra. Objective The goal of this course is to introduce the student to tensors, multilinear algebra and its applications. Content Review of linear algebra with emphasis on vector spacesand linear and multilinear transformations.Tensors of first and second orderHigher order tensors.Multilinear maps and tensor products of vector spaces Applications of tensors. 327-0406-00L Basic Principles of Materials Physics Planned to be offered for the last time in FS 2021. O 5 credits 2V + 3U A. Gusev Abstract Foundations and applications of equilibrium thermodynamics and statistical mechanics, supplemented by an elementary theory of transport phenomena Objective The course provides a solid working knowledge in thermodynamics (as the appropriate language for treating a variety of problems in materials science) and in statistical mechanics (as a systematic tool to find thermodynamic potentials for specific problems) Content Thermodynamics, Statistical Mechanics1. Introduction2. Foundations of Thermodynamics3. Applications of Thermodynamics4. Foundations of Classical Statistical Mechanics5. Applications of Classical Statistical Mechanics6. Elementary Theory of Transport Phenomena Lecture notes A guideline and a summary will be provided on the course website above. Literature 1. K. Huang, Introduction to Statistical Physics (CRC Press, New York, 2010)2. R. Kjellander, Thermodynamics Kept Simple: A Molecular Approach (CRC Press, Boca Raton, FL, 2016)3. K. Huang, Statistical Physics (2nd ed., John Wiley & Sons, 1987)4. D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, New York, 1987)
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