# Search result: Catalogue data in Spring Semester 2020

Materials Science Bachelor | ||||||

4. Semester | ||||||

Basic Courses Part 2 | ||||||

Examination Block 4 | ||||||

Number | Title | Type | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|---|

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 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. | |||||

327-0406-00L | 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 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 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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