Search result: Catalogue data in Spring Semester 2020

Materials Science Bachelor Information
4. Semester
Basic Courses Part 2
Examination Block 4
NumberTitleTypeECTSHoursLecturers
401-0654-00LNumerical Methods Information Restricted registration - show details O4 credits2V + 1UR. Käppeli
AbstractThe course introduces numerical methods according to the type of problem they tackle. The tutorials will include both theoretical exercises and practical tasks.
ObjectiveThis 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.
ContentQuadrature, Newton method, initial value problems for ordinary differential equations: explicit one step methods, step length control, stability analysis and implicit methods, structure preserving methods
LiteratureM. 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 / NoticePrerequisite is familiarity with basic calculus and linear algebra.
401-0164-00LMultilinear Algebra and Its Applications Information
Planned to be offered for the last time in the Spring Semester 2021.
O3 credits2V + 1UL. Halbeisen
AbstractReview of the basic concepts of linear algebra, including vector spaces, linear and multilinear maps. Introduction to tensors and multilinear algebra.
ObjectiveThe goal of this course is to introduce the student to tensors, multilinear algebra and its applications.
ContentReview of linear algebra with emphasis on vector spaces
and linear and multilinear transformations.
Tensors of first and second order
Higher order tensors.
Multilinear maps and tensor products of vector spaces
Applications of tensors.
327-0406-00LBasic Principles of Materials Physics Information
Planned to be offered for the last time in FS 2021.
O5 credits2V + 3UA. Gusev
AbstractFoundations and applications of equilibrium thermodynamics and statistical mechanics, supplemented by an elementary theory of transport phenomena
ObjectiveThe 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)
ContentThermodynamics, Statistical Mechanics
1. Introduction
2. Foundations of Thermodynamics
3. Applications of Thermodynamics
4. Foundations of Classical Statistical Mechanics
5. Applications of Classical Statistical Mechanics
6. Elementary Theory of Transport Phenomena
Lecture notesA guideline and a summary will be provided on the course website above.
Literature1. 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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