Suchergebnis: Katalogdaten im Herbstsemester 2021
Bauingenieurwissenschaften Bachelor  | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
 Obligatorische Fächer 3. Semester | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Prüfungsblock 1 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Nummer | Titel | Typ | ECTS | Umfang | Dozierende | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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| 401-0243-00L | Analysis III  | O | 3 KP | 2V + 1U | M. Akka Ginosar | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Wir werden wissenschaftliche Probleme mit partiellen Differentialgleichungen modellieren klassifizieren und lösen. Es werden elliptische, parabolische und hyperbolische Differentialgleichungen behandelt. Die folgenden mathematischen Werkzeuge werden eingeführt: Laplace- und Fourier-Transformationen, Fourier-Reihen, Variablentrennung, Methoden der Charakteristik. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Erlernen der Modellierung wissenschaftlicher Probleme mit Hilfe partieller Differentialgleichungen und Entwicklung einer guten Beherrschung der mathematischen Methoden, die auf diese angewendet werden können. Kennen der Formulierung wichtiger natur- und ingenieurwissenschaftlicher Probleme mit Blick auf das Bauwesen (wenn möglich). Verstehen der Eigenschaften der verschiedenen Arten von partiellen Differentialgleichungen, die in den Naturwissenschaften und in der Technik auftreten. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | Klassifizierung von partiellen Differentialgleichungen Untersuchung der Wärmegleichung allgemeiner Diffusions-/parabolischer Probleme unter Verwendung der folgenden Werkzeuge durch Trennung von Variablen als Einführung in Fourier-Reihen. Systematische Behandlung der komplexen und reellen Fourier-Reihen Untersuchung der Wellengleichung und allgemeiner hyperbolischer Probleme unter Verwendung von Fourier-Reihen, der D'Alembert-Lösung und der Methode der Charakteristiken. Laplace-Transformation und ihre Anwendung auf Differentialgleichungen Untersuchung der Laplace-Gleichung und allgemeiner elliptischer Probleme unter Verwendung ähnlicher Hilfsmittel und Verallgemeinerungen von Fourier-Reihen. Die Anwendung der Laplace-Transformation für die Strahlentheorie wird besprochen. Wenn es die Zeit erlaubt, werden wir die Fourier-Transformation einführen. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Skript | Ein Skript wird zur Verfügung gestellt. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | Ein grosser Teil des Materials folgt bestimmten Kapiteln der folgenden ersten beiden Bücher ziemlich genau. S.J. Farlow: Partial Differential Equations for Scientists and Engineers, (Dover Books on Mathematics), 1993 E. Kreyszig: Advanced Engineering Mathematics, John Wiley & Sons, 10. Auflage, 2001 The course material is taken from the following sources: Stanley J. Farlow - Partial Differential Equations for Scientists and Engineers G. Felder: Partielle Differenzialgleichungen. https://people.math.ethz.ch/~felder/PDG/ Y. Pinchover and J. Rubinstein: An Introduction to Partial Differential Equations, Cambridge University Press, 2005 C.R. Wylie and L. Barrett: Advanced Engineering Mathematics, McGraw-Hill, 6th ed, 1995 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | Analysis I and II, insbesondere, gewöhnliche Differentialgleichungen. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 402-0023-01L | Physics | O | 7 KP | 5V + 2U | S. Johnson | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | This course gives an overview of important concepts in classical dynamics, thermodynamics, electromagnetism, quantum physics, atomic physics, and special relativity. Emphasis is placed on demonstrating key phenomena using experiments, and in developing skills for quantitative problem solving. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | The goal of this course is to make students able to explain and apply the basic principles and methodology of physics to problems of interest in modern science and engineering. An important component of this is learning how to solve new, complex problems by breaking them down into parts and applying simplifications. A secondary goal is to provide to students an overview of important subjects in both classical and modern physics. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | Oscillations and waves in matter Thermodynamics (temperature, heat, equations of state, laws of thermodynamics, entropy, transport) Electromagnetism (electrostatics, magnetostatics, circuits, Maxwell's Equations, electromagnetic waves, induction, electromagnetic properties of materials) Overview of quantum and atomic physics Introduction to special relativity | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Skript | Lecture notes and exercise sheets will be distributed via Moodle | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | P.A. Tipler and G. Mosca, Physics for scientists and engineers, W.H. Freeman and Company, New York | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 101-0203-01L | Hydraulik I | O | 5 KP | 3V + 1U | R. Stocker | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Die Vorlesung vermittelt die Grundlagen der Hydromechanik, die für Bauingenieure und Umweltingenieure relevant sind. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Vermittlung der Grundlagen der Hydromechanik der stationären Strömungen | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | Eigenschaften des Wassers, Hydrostatik, Schwimmstabilität, Kontinuität, Eulersche Bewegungsleichungen, Navier-Stokes Gleichungen, Ähnlichkeitsgesetze, Bernoulli'sches Prinzip, Impulssatz für endliche Volumina, Potentialströmungen, ideale Fluide und reale Fluide, Grenzschicht, Rohrhydraulik, Gerinnehydraulik, Strömungsmessung, Vorführung von Versuchen in der Vorlesung | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Skript | Skript und Aufgabensammlung vorhanden | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | Bollrich, Technische Hydromechanik 1, Verlag Bauwesen, Berlin | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 151-0503-00L | Dynamics | O | 6 KP | 4V + 2U | D. Kochmann | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Dynamics of particles, rigid bodies and deformable bodies: Motion of a single particle, motion of systems of particles, 2D and 3D motion of rigid bodies, vibrations, waves | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | This course provides Bachelor students of mechanical and civil engineering with fundamental knowledge of the kinematics and dynamics of mechanical systems. By studying the motion of a single particle, systems of particles, of rigid bodies and of deformable bodies, we introduce essential concepts such as kinematics, kinetics, work and energy, equations of motion, and forces and torques. Further topics include the stability of equilibria and vibrations as well as an introduction to the dynamics of deformable bodies and waves in elastic rods. Throughout the course, the basic principles and application-oriented examples presented in the lectures and weekly exercise sessions help students aquire a proficient background in engineering dynamics, learn and embrace problem-solving techniques for dynamical engineering problems, gain cross-disciplinary expertise (by linking concepts from, among others, mechanics, mathematics, and physics), and prepare students for advanced courses and work on engineering applications. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | 1. Motion of a single particle: kinematics (trajectory, velocity, acceleration), forces and torques, constraints, active and reaction forces, balance of linear and angular momentum, work-energy balance, conservative systems, equations of motion. 2. Motion of systems of particles: internal and external forces, balance of linear and angular momentum, work-energy balance, rigid systems of particles, particle collisions, mass accretion/loss. 3. Motion of rigid bodies in 2D and 3D: kinematics (angular velocity, velocity and acceleration transfer, instantaneous center and axis of rotation), balance of linear and angular momentum, work-energy balance, angular momentum transport, inertial vs. moving reference frames, apparent forces, Euler equations. 4. Vibrations: Lagrange equations, concepts of stability, single-DOF oscillations (natural frequency, free-, damped-, and forced response), multi-DOF oscillations (natural frequencies, eigenmodes, free-, damped-, and forced response). 5. Introduction to waves and vibrations in deformable elastic bodies: local form of linear momentum balance, waves and vibrations in slender elastic rods. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Skript | Lecture notes (a scriptum) will be available on Moodle. Students are strongly encouraged to take their own notes during class. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | A complete set of lecture notes (a scriptum) is available on Moodle. Further reading materials are suggested but not required for this class. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | All course materials (including lecture notes, exercise problems, etc.) are available on Moodle. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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