Suchergebnis: Katalogdaten im Herbstsemester 2017

Mikro- und Nanosysteme Master Information
Wählbare Kernfächer
151-0525-00LWave Propagation in SolidsW4 KP2V + 1UJ. Dual, D. Mohr
KurzbeschreibungPlane Waves, harmonic waves, Fourier analysis and synthesis, dispersion, distorsion, damping, group and phase velocity, transmission and reflection, impact, waves in linear elastic continua, elastic plastic waves, experimental and numerical methods in wave propagation.
LernzielStudents learn, which technical problems must be approached using the methods used in wave propagation in solids. Furthermore, they learn to use these methods and develop an intuitive feeling for phenomena that can be expected in various situations.
InhaltWave Propagation in solids including applications.
Content: Phenomenology of wave propagation ( plane waves, harmonic waves, harmonic analysis and synthesis, dispersion, attenuation, group and phase velocity), transmission and reflection, impact problems, waves in linear elastic media ( P- Waves, S-Waves, Rayleigh waves, guided waves), elastic plastic waves, experimental and numerical methods.
LiteraturVarious books will be recommended pertaining to the topics covered.
Voraussetzungen / BesonderesLanguage according to the wishes of students.
151-0255-00LEnergy Conversion and Transport in BiosystemsW4 KP2V + 1UA. Ferrari
KurzbeschreibungTheorie und Anwendung von Thermodynamik und Energieerhaltung in biologischen Systemen mit Schwerpunkt auf Zellebene.
LernzielTheorie und Anwendung von Energieerhaltung auf Zellebene. Verständnis für die grundlegenden Stofftransport-Kreisläufe in menschlichen Zellen und die Mechanismen, welche diese Kreisläufe beeinflussen. Parallelen zu anderen Gebieten im Ingenieurswesen erkennen. Wärme- und Massentransport Prozesse in der Zelle, Kraft Entwicklung der Zelle, und die Verbindung zu modernen biomedizinischen Technologien.
InhaltMassentransportmodelle für den Transport von chemischen Spezies in der menschlichen Zelle. Organisation und Funktion der Zellmembran und des Zytoskeletts. Die Rolle molekularer Motoren in der Kraftentwicklung der Zelle und deren Funktion in der Fortbewegung der Zelle. Beschreibung der Funktionsweise dieser Systeme sowie der experimentellen Analyse und Simulationen um sie besser zu verstehen. Einführung in den Zell-Metabolismus, Zell-Energietransport und die Zelluläre Thermodynamik.
SkriptKursmaterial wird in Form von Hand-outs verteilt.
LiteraturNotizen sowie Referenzen aus der Vorlesung.
402-0572-00LAerosols I: Physical and Chemical PrinciplesW4 KP2V + 1UM. Gysel Beer, U. Baltensperger, H. Burtscher
KurzbeschreibungIm Kurs Aerosole I werden Grundlagen der Aerosolphysik- und Chemie vermittelt. Spezifische Eigenschaften kleiner Teilchen, Bedeutung von Aerosolen in der Atmosphäre und in anderen Bereichen werden behandelt.
LernzielVermittlung von Grundlagen der Aerosolphysik und -chemie und spezifischer Eigenschaften kleiner Teilchen, Bedeutung von Aerosolen in der Atmosphäre und in anderen Bereichen.
InhaltPhysikalische und chemische Eigenschaften von Aerosolen, Aerosoldynamik (Diffusion, Koagulation), optische Eigenschaften (Lichtstreuung, -absorption, -extinktion), Verfahren zur Erzeugung von Aerosolen, Messmethoden zur physikalischen und chemischen Charakterisierung.
SkriptEs werden Beilagen abgegeben
Literatur- Kulkarni, P., Baron, P. A., and Willeke, K.: Aerosol Measurement - Principles, Techniques, and Applications. Wiley, Hoboken, New Jersey, 2011.
- Hinds, W. C.: Aerosol Technology: Properties, Behavior, and Measurement of Airborne Particles. John Wiley & Sons, Inc., New York, 1999.
- Colbeck I. (ed.) Physical and Chemical Properties of Aerosols, Blackie Academic & Professional, London, 1998.
- Seinfeld, J. H. and Pandis, S. N.: Atmospheric Chemistry and Physics: From Air Pollution to Climate Change. Hoboken, John Wiley & Sons, Inc., 2006
151-0605-00LNanosystemsW4 KP4GA. Stemmer
KurzbeschreibungFrom atoms to molecules to condensed matter: characteristic properties of simple nanosystems and how they evolve when moving towards complex ensembles.
Intermolecular forces, their macroscopic manifestations, and ways to control such interactions.
Self-assembly and directed assembly of 2D and 3D structures.
Special emphasis on the emerging field of molecular electronic devices.
LernzielFamiliarize students with basic science and engineering principles governing the nano domain.
InhaltThe course addresses basic science and engineering principles ruling the nano domain. We particularly work out the links between topics that are traditionally taught separately. Familiarity with basic concepts of quantum mechanics is expected.

Special emphasis is placed on the emerging field of molecular electronic devices, their working principles, applications, and how they may be assembled.

Topics are treated in 2 blocks:

(I) From Quantum to Continuum
From atoms to molecules to condensed matter: characteristic properties of simple nanosystems and how they evolve when moving towards complex ensembles.

(II) Interaction Forces on the Micro and Nano Scale
Intermolecular forces, their macroscopic manifestations, and ways to control such interactions.
Self-assembly and directed assembly of 2D and 3D structures.
Literatur- Kuhn, Hans; Försterling, H.D.: Principles of Physical Chemistry. Understanding Molecules, Molecular Assemblies, Supramolecular Machines. 1999, Wiley, ISBN: 0-471-95902-2
- Chen, Gang: Nanoscale Energy Transport and Conversion. 2005, Oxford University Press, ISBN: 978-0-19-515942-4
- Ouisse, Thierry: Electron Transport in Nanostructures and Mesoscopic Devices. 2008, Wiley, ISBN: 978-1-84821-050-9
- Wolf, Edward L.: Nanophysics and Nanotechnology. 2004, Wiley-VCH, ISBN: 3-527-40407-4

- Israelachvili, Jacob N.: Intermolecular and Surface Forces. 2nd ed., 1992, Academic Press,ISBN: 0-12-375181-0
- Evans, D.F.; Wennerstrom, H.: The Colloidal Domain. Where Physics, Chemistry, Biology, and Technology Meet. Advances in Interfacial Engineering Series. 2nd ed., 1999, Wiley, ISBN: 0-471-24247-0
- Hunter, Robert J.: Foundations of Colloid Science. 2nd ed., 2001, Oxford, ISBN: 0-19-850502-7
Voraussetzungen / BesonderesCourse format:

Lectures and Mini-Review presentations: Thursday 10-13, ML F 36

Homework: Mini-Reviews
Each student selects a paper (list distributed in class) and expands the topic into a Mini-Review that illuminates the particular field beyond the immediate results reported in the paper.
529-0611-00LCharacterization of Catalysts and SurfacesW7 KP3GJ. A. van Bokhoven, D. Ferri
KurzbeschreibungBasic elements of surface science important for materials and catalysis research. Physical and chemical methods important for research in surface science, material science and catalysis are considered and their application is demonstrated on practical examples.
LernzielBasic aspects of surface science. Understanding of principles of most important experimental methods used in research concerned with surface science, material science and catalysis.
InhaltMethods which are covered embrace: Gas adsorption and surface area analysis, IR-Spectroscopy, X-ray diffraction, X-ray photoelectron spectroscopy, X-ray absorption, solid state NMR, Electron Microscopy and others.
529-0643-00LProcess Design and Development Information W7 KP3GG. Storti
KurzbeschreibungThe course is focused on the design of Chemical Processes, with emphasis on the preliminary stage of the design approach, where process creation and quick selection among many alternatives are important. The main concepts behind more detailed process design and process simulation are also examined in the last part of the course.
LernzielThe course is focused on the design of Chemical Processes, with emphasis on the preliminary stage of the design approach, where process creation and quick selection among many alternatives are important. The main concepts behind more detailed process design and process simulation are also examined in the last part of the course.
InhaltProcess creation: decomposition strategies (reduction of differences - vinyl chloride production and hierarchical decomposition - ethanol production). Identification of the "base case design". Heuristics for process synthesis.
Preliminary process evaluation: simplified material and energy balances (linear balances), degrees of freedom, short-cut models, flowsheet solution algorithm).
Process Integration: sequencing of distillation columns, synthesis of heat exchanger networks.
Process economic evaluation: equipment sizing and costing, time value of money, cash flow calculations.
Batch Processes: scheduling, sizing and inventories.
Detailed Process Design: unit operation models, flash solution algorithms (different iterative methods, inside-out method), sequencing of nonideal distillation columns, networks of chemical reactors.
Skriptno script
LiteraturL.T.Biegler et al., Systematic Methods of Chemical Process Design, Prentice Hall, 1997.
W.D.Seider et al., Process Design Principles, J. Wiley & Sons, 1998.
J.M.Douglas, Conceptual Design of Chemical Processes, McGraw-Hill, 1988.
Voraussetzungen / BesonderesPrerequisite: Thermal Unit Operations
752-3103-00LFood Rheology IW3 KP2VP. A. Fischer
KurzbeschreibungRheology is the science of flow and deformation of matter such as polymers, dispersions (emulsions, foams, suspensions), and colloidal systems. The fluid dynamical basis, measuring techniques (rheometry), and the flow properties of different fluids (Newtonian, non-Newtonian, viscoelastic) are introduced and discussed.
LernzielThe course provides an introduction on the link between flow and structural properties of flowing material. Rheometrical techniques and appropriate measuring protocols for the characterization of complex fluids will be discussed. The concept of rheological constitutive equations and the application to different material classes are established.
InhaltLectures will be given on general introduction (4h), fluid dynamics (2h), complex flow behavior (4h), influence of temperature (2h), rheometers (4h), rheological tests (6h) and structure and rheology of complex fluids (4h).
SkriptNotes will be handed out during the lectures.
LiteraturProvided in the lecture notes.
227-0157-00LSemiconductor Devices: Physical Bases and Simulation Information W4 KP3GA. Schenk
KurzbeschreibungThe course addresses the physical principles of modern semiconductor devices and the foundations of their modeling and numerical simulation. Necessary basic knowledge on quantum-mechanics, semiconductor physics and device physics is provided. Computer simulations of the most important devices and of interesting physical effects supplement the lectures.
LernzielThe course aims at the understanding of the principle physics of modern semiconductor devices, of the foundations in the physical modeling of transport and its numerical simulation. During the course also basic knowledge on quantum-mechanics, semiconductor physics and device physics is provided.
InhaltThe main topics are: transport models for semiconductor devices (quantum transport, Boltzmann equation, drift-diffusion model, hydrodynamic model), physical characterization of silicon (intrinsic properties, scattering processes), mobility of cold and hot carriers, recombination (Shockley-Read-Hall statistics, Auger recombination), impact ionization, metal-semiconductor contact, metal-insulator-semiconductor structure, and heterojunctions.
The exercises are focussed on the theory and the basic understanding of the operation of special devices, as single-electron transistor, resonant tunneling diode, pn-diode, bipolar transistor, MOSFET, and laser. Numerical simulations of such devices are performed with an advanced simulation package (Sentaurus-Synopsys). This enables to understand the physical effects by means of computer experiments.
SkriptThe script (in book style) can be downloaded from:
LiteraturThe script (in book style) is sufficient. Further reading will be recommended in the lecture.
Voraussetzungen / BesonderesQualifications: Physics I+II, Semiconductor devices (4. semester).
227-0225-00LLinear System TheoryW6 KP5GM. Kamgarpour
KurzbeschreibungThe class is intended to provide a comprehensive overview of the theory of linear dynamical systems, stability analysis, and their use in control and estimation. The focus is on the mathematics behind the physical properties of these systems.
LernzielStudents should be able to apply the fundamental results in linear system theory to analyze and control linear dynamical systems.
Inhalt- Linear spaces, normed linear spaces and Hilbert spaces.
- Ordinary differential equations, existence and uniqueness of solutions.
- Continuous and discrete-time, time-varying linear systems. Time domain solutions. Time invariant systems treated as a special case.
- Controllability and observability, duality. Time invariant systems treated as a special case.
- Stability and stabilization, observers, state and output feedback, separation principle.
SkriptAvailable online on course website.
Voraussetzungen / Besonderes1) Sufficient mathematical maturity with special focus on linear algebra, analysis, and basic logic.
2) Control Systems I (227-0103-00) or equivalent.
227-0377-00LPhysics of Failure and Failure Analysis of Electronic Devices and EquipmentW3 KP2VU. Sennhauser
KurzbeschreibungFailures have to be avoided by proper design, material selection and manufacturing. Properties, degradation mechanisms, and expected lifetime of materials are introduced and the basics of failure analysis and analysis equipment are presented. Failures will be demonstrated experimentally and the opportunity is offered to perform a failure analysis with advanced equipment in the laboratory.
LernzielIntroduction to the degradation and failure mechanisms and causes of electronic components, devices and systems as well as to methods and tools of reliability testing, characterization and failure analysis.
InhaltSummary of reliability and failure analysis terminology; physics of failure: materials properties, physical processes and failure mechanisms; failure analysis of ICs, PCBs, opto-electronics, discrete and other components and devices; basics and properties of instruments; application in circuit design and reliability analysis
SkriptComprehensive copy of transparencies
151-0593-00LEmbedded Control SystemsW4 KP6GJ. S. Freudenberg, M. Schmid Daners
KurzbeschreibungThis course provides a comprehensive overview of embedded control systems. The concepts introduced are implemented and verified on a microprocessor-controlled haptic device.
LernzielFamiliarize students with main architectural principles and concepts of embedded control systems.
InhaltAn embedded system is a microprocessor used as a component in another piece of technology, such as cell phones or automobiles. In this intensive two-week block course the students are presented the principles of embedded digital control systems using a haptic device as an example for a mechatronic system. A haptic interface allows for a human to interact with a computer through the sense of touch.

Subjects covered in lectures and practical lab exercises include:
- The application of C-programming on a microprocessor
- Digital I/O and serial communication
- Quadrature decoding for wheel position sensing
- Queued analog-to-digital conversion to interface with the analog world
- Pulse width modulation
- Timer interrupts to create sampling time intervals
- System dynamics and virtual worlds with haptic feedback
- Introduction to rapid prototyping
SkriptLecture notes, lab instructions, supplemental material
Voraussetzungen / BesonderesPrerequisite courses are Control Systems I and Informatics I.

This course is restricted to 33 students due to limited lab infrastructure. Interested students please contact Marianne Schmid (E-Mail:
After your reservation has been confirmed please register online at

Detailed information can be found on the course website
151-0235-00LThermodynamics of Novel Energy Conversion Technologies Belegung eingeschränkt - Details anzeigen
Number of participants limited to 100.
W4 KP3GC. S. Sharma, G. Sansavini
KurzbeschreibungIn the framework of this course we will look at a current electronic thermal and energy management strategies and novel energy conversion processes. The course will focus on component level fundamentals of these process and system level analysis of interactions among various energy conversion components.
LernzielThis course deals with liquid cooling based thermal management of electronics, reuse of waste heat and novel energy conversion and storage systems such as batteries, fuel cells and micro-fuel cells. The focus of the course is on the physics and basic understanding of those systems as well as their real-world applications. The course will also look at analysis of system level interactions between a range of energy conversion components.
InhaltPart 1: Fundamentals:
- Overview of exergy analysis, Single phase liquid cooling and micro-mixing;
- Thermodynamics of multi-component-systems (mixtures) and phase equilibrium;
- Electrochemistry;

Part 2: Applications:
- Basic principles of battery;
- Introduction to fuel cells;
- Reuse of waste heat from supercomputers
- Hotspot targeted cooling of microprocessors
- Microfluidic fuel cells

Part3: System- level analysis
- Integration of the components into the system: a case study
- Analysis of the coupled operations, identification of critical states
- Support to system-oriented design
SkriptLecture slides will be made available. Lecture notes will be available for some topics (in English).
Voraussetzungen / BesonderesThe course will be given in English:

1- Mid-term examination: Mid-term exam grade counts as 20% of the final grade.
2- Final exam: Written exam during the regular examination session. It counts as 80% of the final grade.
227-0145-00LSolid State Electronics and Optics Information W6 KP4GV. Wood
Kurzbeschreibung"Solid State Electronics" is an introductory condensed matter physics course covering crystal structure, electron models, classification of metals, semiconductors, and insulators, band structure engineering, thermal and electronic transport in solids, magnetoresistance, and optical properties of solids.
LernzielUnderstand the fundamental physics behind the mechanical, thermal, electric, magnetic, and optical properties of materials.
Voraussetzungen / BesonderesRecommended background:
Undergraduate physics, mathematics, semiconductor devices
151-0621-00LMicrosystems I: Process Technology and Integration Information W6 KP3V + 3UM. Haluska, C. Hierold
KurzbeschreibungDie Stundenten werden in die Grundlagen der Mikrosystemtechnik, der Halbleiterphysik und der Halbleiterprozesstechnologie eingeführt und erfahren, wie die Herstellung von Mikrosystemen in einer Serie von genau definierten Prozessschritten erfolgt (Gesamtprozess und Prozessablauf).
LernzielDie Stundenten sind mit den Grundlagen der Mikrosystemtechnik und der Prozesstechnologie für Halbleiter vertraut und verstehen die Herstellung von Mikrosystemen durch die Kombination von Einzelprozesschritten ( = Gesamtprozess oder Prozessablauf).
Inhalt- Einführung in die Mikrosystemtechnik (MST) und in mikroelektromechanische Systeme (MEMS)
- Grundlegende Siliziumtechnologie: thermische Oxidation, Fotolithografie und Ätztechnik, Diffusion und Ionenimplantation, Dünnschichttechnik.
- Besondere Mikrosystemtechnologien: Volumen- und Oberflächenmikromechanik, Trocken- und Nassätzen, isotropisches und anisotropisches Ätzen, Herstellung von Balken und Membranen, Waferbonden, mechanische Eigenschaften von Dünnschichten.
Die Anwendung ausgewählter Technologien wird anhand von Fallstudien nachgewiesen.
SkriptHandouts (online erhältlich)
Literatur- S.M. Sze: Semiconductor Devices, Physics and Technology
- W. Menz, J. Mohr, O.Paul: Microsystem Technology
- Hong Xiao: Introduction to Semiconductor Manufacturing Technology
- M. J. Madou: Fundamentals of Microfabrication and Nanotechnology, 3rd ed.
- T. M. Adams, R. A. Layton: Introductory MEMS, Fabrication and Applications
Voraussetzungen / BesonderesVoraussetzung: Physik I und II
402-0811-00LProgramming Techniques for Scientific Simulations IW5 KP4GR. Käppeli
KurzbeschreibungThis lecture provides an overview of programming techniques for scientific simulations. The focus is on advances C++ programming techniques and scientific software libraries. Based on an overview over the hardware components of PCs and supercomputer, optimization methods for scientific simulation codes are explained.
151-0911-00LIntroduction to PlasmonicsW4 KP2V + 1UD. J. Norris
KurzbeschreibungThis course provides fundamental knowledge of surface plasmon polaritons and discusses their applications in plasmonics.
LernzielElectromagnetic oscillations known as surface plasmon polaritons have many unique properties that are useful across a broad set of applications in biology, chemistry, physics, and optics. The field of plasmonics has arisen to understand the behavior of surface plasmon polaritons and to develop applications in areas such as catalysis, imaging, photovoltaics, and sensing. In particular, metallic nanoparticles and patterned metallic interfaces have been developed to utilize plasmonic resonances. The aim of this course is to provide the basic knowledge to understand and apply the principles of plasmonics. The course will strive to be approachable to students from a diverse set of science and engineering backgrounds.
InhaltFundamentals of Plasmonics
- Basic electromagnetic theory
- Optical properties of metals
- Surface plasmon polaritons on surfaces
- Surface plasmon polariton propagation
- Localized surface plasmons

Applications of Plasmonics
- Waveguides
- Extraordinary optical transmission
- Enhanced spectroscopy
- Sensing
- Metamaterials
SkriptClass notes and handouts
LiteraturS. A. Maier, Plasmonics: Fundamentals and Applications, 2007, Springer
Voraussetzungen / BesonderesPhysics I, Physics II
151-0642-00LSeminar on Micro and Nanosystems Information Z0 KP1SC. Hierold
KurzbeschreibungWissenschaftliche Vorträge zu ausgewählten Themen der Mikro- und Nanosystemtechnik
LernzielDas Seminar richtet sich insbesondere an Studierende, die an einer wissenschaftlichen Arbeit im Gebiet der Mikro- und Nanosystemtechnik interessiert sind, bzw. bereits damit begonnen haben. Es werden jeweils aktuelle Beispiele an der Forschung diskutiert.
InhaltEs werden aktuelle Themen im Gebiet der Mikro- und Nanosystemtechnik an Beispielen von internen und externen Forschungsarbeiten, sowie laufende Studien-, Diplom- und Doktorarbeitsthemen vorgestellt und diskutiert. Gelegentliche Gastsprecher erweitern die Seminarsthemen.
Voraussetzungen / BesonderesMaster of MNS, MAVT, ITET, Physics
227-0663-00LNano-Optics Information W6 KP2V + 2UM. Frimmer
KurzbeschreibungNano-Optics is the study of optical phenomena and techniques on the nanometer scale. It is an emerging field of study motivated by the rapid advance of nanoscience and technology. It embraces topics such as plasmonics, optical antennas, optical trapping and manipulation, and high-resolution imaging and spectroscopy.
LernzielUnderstanding concepts of light localization and light-matter interactions on the nanoscale.
InhaltStarting with an angular spectrum representation of optical fields the role of inhomogeneous evanescent fields is discussed. Among the topics are: theory of strongly focused light, point spread functions, resolution criteria, confocal microscopy, and near-field optical microscopy. Further topics are: optical interactions between nanoparticles, atomic decay rates in inhomogeneous environments, single molecule spectroscopy, light forces and optical trapping, photonic bandgap materials, and theoretical methods in nano-optics.
Voraussetzungen / Besonderes- Electrodynamics (or equivalent)
- Physics I+II
227-0468-00LAnalog Signal Processing and Filtering Information
Suitable for Master Students as well as Doctoral Students.
W6 KP2V + 2UH. Schmid
KurzbeschreibungThis lecture provides a wide overview over analog filters (continuous-time and discrete-time), signal-processing systems, and sigma-delta conversion, and gives examples with sensor interfaces and class-D audio drivers. All systems and circuits are treated using a signal-flow view. The lecture is suitable for both analog and digital designers.
LernzielThis lecture provides a wide overview over analog filters (continuous-time and discrete-time), signal-processing systems, and sigma-delta conversion, and gives examples with sensor interfaces and class-D audio drivers. All systems and circuits are treated using a signal-flow view. The lecture is suitable for both analog and digital designers. The way the exam is done allows for the different interests of the two groups.

The learning goal is that the students can apply signal-flow graphs and can understand the signal flow in such circuits and systems (including non-ideal effects) well enough to gain an understanding of further circuits and systems by themselves.
InhaltAt the beginning, signal-flow graphs in general and driving-point signal-flow graphs in particular are introduced. We will use them during the whole term to analyze circuits and understand how signals propagate through them. The theory and CMOS implementation of active Filters is then discussed in detail using the example of Gm-C filters and active-RC filters. The ideal and nonideal behaviour of opamps, current conveyors, and inductor simulators follows. The link to the practical design of circuits and systems is done with an overview over different quality measures and figures of merit used in scientific literature and datasheets. Finally, an introduction to discrete-time and mixed-domain filters and circuits is given, including sensor read-out amplifiers, correlated double sampling, and chopping, and an introduction to sigma-delta A/D and D/A conversion on a system level.
SkriptThe base for these lectures are lecture notes and two or three published scientific papers. From these papers we will together develop the technical content.


Some material is protected by password; students from ETHZ who are interested can write to to ask for the password even if they do not attend the lecture.
Voraussetzungen / BesonderesPrerequisites: Recommended (but not required): Stochastic models and signal processing, Communication Electronics, Analog Integrated Circuits, Transmission Lines and Filters.

Knowledge of the Laplace transform and z transform and their interpretation (transfer functions, poles and zeros, bode diagrams, stability criteria ...) and of the main properties of linear systems is necessary.
151-0532-00LNonlinear Dynamics and Chaos I Information W4 KP2V + 2UF. Kogelbauer
KurzbeschreibungBasic facts about nonlinear systems; stability and near-equilibrium dynamics; bifurcations; dynamical systems on the plane; non-autonomous dynamical systems; chaotic dynamics.
LernzielThis course is intended for Masters and Ph.D. students in engineering sciences, physics and applied mathematics who are interested in the behavior of nonlinear dynamical systems. It offers an introduction to the qualitative study of nonlinear physical phenomena modeled by differential equations or discrete maps. We discuss applications in classical mechanics, electrical engineering, fluid mechanics, and biology. A more advanced Part II of this class is offered every other year.
Inhalt(1) Basic facts about nonlinear systems: Existence, uniqueness, and dependence on initial data.

(2) Near equilibrium dynamics: Linear and Lyapunov stability

(3) Bifurcations of equilibria: Center manifolds, normal forms, and elementary bifurcations

(4) Nonlinear dynamical systems on the plane: Phase plane techniques, limit sets, and limit cycles.

(5) Time-dependent dynamical systems: Floquet theory, Poincare maps, averaging methods, resonance
SkriptThe class lecture notes will be posted electronically after each lecture. Students should not rely on these but prepare their own notes during the lecture.
Voraussetzungen / Besonderes- Prerequisites: Analysis, linear algebra and a basic course in differential equations.

- Exam: two-hour written exam in English.

- Homework: A homework assignment will be due roughly every other week. Hints to solutions will be posted after the homework due dates.
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