Suchergebnis: Katalogdaten im Herbstsemester 2017

Rechnergestützte Wissenschaften Bachelor Information
Grundlagenfächer
Block G1
NummerTitelTypECTSUmfangDozierende
401-0353-00LAnalysis III Information O4 KP2V + 1UA. Figalli
KurzbeschreibungIn dieser Lehrveranstaltung werden Probleme der angewandten Analysis behandelt, speziell ausgerichtet auf die Bedürfnisse der Elektrotechniker. Dazu gehört vor allem das Studium der einfachsten Fälle der drei Grundtypen von partiellen Differentialgleichungen zweiten Grades: Laplace-Gleichung, Wärmeleitungsgleichung und Wellengleichung.
Lernziel
Inhalt1.) Klassifizierung von PDE's
- linear, quasilinear, nicht-linear
- elliptisch, parabolisch, hyperbolisch

2.) Quasilineare PDE
- Methode der Charakteristiken (Beispiele)

3.) Elliptische PDE
- Bsp: Laplace-Gleichung
- Harmonische Funktionen, Maximumsprinzip, Mittelwerts-Formel.
- Methode der Variablenseparation.

4.) Parabolische PDE
- Bsp: Wärmeleitungsgleichung
- Bsp: Inverse Wärmeleitungsgleichung
- Methode der Variablenseparation

5.) Hyperbolische PDE
- Bsp: Wellengleichung
- Formel von d'Alembert in (1+1)-Dimensionen
- Methode der Variablenseparation

6.) Green'sche Funktionen
- Rechnen mit der Dirac-Deltafunktion
- Idee der Green'schen Funktionen (Beispiele)

7.) Ausblick auf numerische Methoden
- 5-Punkt-Diskretisierung des Laplace-Operators (Beispiele)
LiteraturY. Pinchover, J. Rubinstein, "An Introduction to Partial Differential Equations", Cambridge University Press (12. Mai 2005)

Zusätzliche Literatur:
Erwin Kreyszig, "Advanced Engineering Mathematics", John Wiley & Sons, Kap. 8, 11, 16 (sehr gutes Buch, als Referenz zu benutzen)
Norbert Hungerbühler, "Einführung in die partiellen Differentialgleichungen", vdf Hochschulverlag AG an der ETH Zürich.
G. Felder:Partielle Differenzialgleichungen.
https://people.math.ethz.ch/~felder/PDG/
Voraussetzungen / BesonderesVoraussetzungen: Analysis I und II, Fourier Reihen (Komplexe Analysis)
402-0811-00LProgramming Techniques for Scientific Simulations IO5 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.
Lernziel
401-0663-00LNumerical Methods for CSE Information O7 KP4V + 2UR. Alaifari
KurzbeschreibungThe course gives an introduction into fundamental techniques and algorithms of numerical mathematics which play a central role in numerical simulations in science and technology. The course focuses on fundamental ideas and algorithmic aspects of numerical methods. The exercises involve actual implementation of numerical methods in C++.
Lernziel* Knowledge of the fundamental algorithms in numerical mathematics
* Knowledge of the essential terms in numerical mathematics and the
techniques used for the analysis of numerical algorithms
* Ability to choose the appropriate numerical method for concrete problems
* Ability to interpret numerical results
* Ability to implement numerical algorithms afficiently
Inhalt1. Direct Methods for linear systems of equations
2. Least Squares Techniques
3. Data Interpolation and Fitting
4. Filtering Algorithms
8. Approximation of Functions
9. Numerical Quadrature
10. Iterative Methods for non-linear systems of equations
11. Single Step Methods for ODEs
12. Stiff Integrators
SkriptLecture materials (PDF documents and codes) will be made available to the participants through the course web page:
https://metaphor.ethz.ch/x/2017/hs/401-0663-00L/
LiteraturU. ASCHER AND C. GREIF, A First Course in Numerical Methods, SIAM, Philadelphia, 2011.

A. QUARTERONI, R. SACCO, AND F. SALERI, Numerical mathematics, vol. 37 of Texts in Applied Mathematics, Springer, New York, 2000.

W. Dahmen, A. Reusken "Numerik für Ingenieure und Naturwissenschaftler", Springer 2006.

M. Hanke-Bourgeois "Grundlagen der Numerischen Mathematik und des wissenschaftlichen Rechnens", BG Teubner, 2002

P. Deuflhard and A. Hohmann, "Numerische Mathematik I", DeGruyter, 2002
Voraussetzungen / BesonderesThe course will be accompanied by programming exercises in C++ relying on the template library EIGEN. Familiarity with C++, object oriented and generic programming is an advantage. Participants of the course are expected to learn C++ by themselves.
Block G2
NummerTitelTypECTSUmfangDozierende
401-0603-00LStochastikO4 KP2V + 1UM. Schweizer
KurzbeschreibungDie Vorlesung deckt folgende Themenbereiche ab: Zufallsvariablen, Wahrscheinlichkeit und Wahrscheinlichkeitsverteilungen, gemeinsame und bedingte Wahrscheinlichkeiten und Verteilungen, das Gesetz der Grossen Zahlen, der zentrale Grenzwertsatz, deskriptive Statistik, schliessende Statistik, Statistik bei normalverteilten Daten, Punktschätzungen, und Vergleich zweier Stichproben.
LernzielKenntnis der Grundlagen der Wahrscheinlichkeitstheorie und Statistik.
InhaltEinführung in die Wahrscheinlichkeitstheorie, einige Grundbegriffe der mathematischen Statistik und Methoden der angewandten Statistik.
SkriptVorlesungsskript
LiteraturVorlesungsskript
252-0834-00LInformation Systems for Engineers Information O4 KP2V + 1UG. Fourny
KurzbeschreibungThis course provides the basics of information systems from the perspective of the user. The main focus is on relational databases, including tabular data, the relational algebra, the SQL query language, schema design, normal forms, physical architecture, indices. The course also covers support for data cubes on top of relational databases.
LernzielAfter visiting this course, students should be capable to:

1. Explain, in the big picture, how a relational database works and what it can do in their own words.
2. Explain the relational data model (tables, rows, attributes, primary keys, foreign keys), formally and informally, including the relational algebra operators (select, project, rename, all kinds of joins, division, cartesian product, union, intersection, etc).
3. Perform non-trivial reading SQL queries on existing relational databases, as well as insert new data, update and delete existing data.
4. Design a new relational schema to store data in accordance to the real world's constraints, such as relationship cardinality.
5. Adapt and improve an existing schema to make it more robust against anomalies, thanks to a very good theoretical knowledge of normal forms.
6. Understand how indices work (hash indices, B-trees), how they are implemented, and how to use them to make queries faster.
7. Access an existing relational database from a host language such as Java, using bridges such as JDBC.
8. Explain data independence.
9. Explain how a relational database is physically implemented.
10. Know and deal with the natural syntax for relational data, CSV.
11. Explain the data cube model including slicing and dicing.
12. Store data cubes in a relational database.
13. Map cube queries to SQL.
14. Slice and dice cubes in a UI.
InhaltUsing a relational database
=================
1. Introduction (historical overview, data independence, data shapes)
2. The relational model (data models, tables, relational algebra, CSV syntax)
3. The query language SQL (DML 1 of 2, SQL shell, counterpart of selection, projection, grouping, ordering, renaming)
4. Schema definitions (DDL, data types, SQL)
5. Updates (DML 2 of 2, insertion, deletion, updates, SQL)

Taking a relational database to the next level
=================
6. Best practices and normal forms (update/insert/delete anomalies, first, second, third, BC, fourth)
7. Physical architecture of a relational database (storage levels, tuple storage)
8. Indices and optimization (ISAM, B-tree, B+-tree, hash)
9. Communicating with a SQL database from a host language (Java, JDBC)

Analytics on top of a relational database
=================
10. Analytics, data warehousing, OLAP vs. OLTP, the data cube model (dimensions, algebra)
11. Storing and querying data cubes in a relational database (star schema, snowflake schema)
12. Data cube optimization (indices, bitmaps)

Outlook
=================
13. Limits of tables and cubes (decision points for when and when not to use them vs. trees, graphs)
14. Limits of scaling up a single machine and transition to Big Data (introduction to data denormalization on simple cases, "hacking" a relational database onto several machines and issues)
Literatur- Lecture material (slides).

- Book: "Database Systems: The Complete Book", H. Garcia-Molina, J.D. Ullman, J. Widom
(It is not required to buy the book, as the library has it)
Voraussetzungen / BesonderesFor non-CS/DS students only, BSc and MSc
Elementary knowledge of set theory and logics
Knowledge as well as basic experience with a programming language such as Pascal, C, C++, Java, Haskell, Python
401-0647-00LIntroduction to Mathematical Optimization Information O5 KP2V + 1UD. Adjiashvili
KurzbeschreibungIntroduction to basic techniques and problems in mathematical optimization, and their applications to a variety of problems in engineering.
LernzielThe goal of the course is to obtain a good understanding of some of the most fundamental mathematical optimization techniques used to solve linear programs and basic combinatorial optimization problems. The students will also practice applying the learned models to problems in engineering.
InhaltTopics covered in this course include:
- Linear programming (simplex method, duality theory, shadow prices, ...).
- Basic combinatorial optimization problems (spanning trees, shortest paths, network flows, ...).
- Modelling with mathematical optimization: applications of mathematical programming in engineering.
LiteraturInformation about relevant literature will be given in the lecture.
Voraussetzungen / BesonderesThis course is meant for students who did not already attend the course "Mathematical Optimization", which is a more advance lecture covering similar topics. Compared to "Mathematical Optimization", this course has a stronger focus on modeling and applications.
Block G3
Die Lehrveranstaltungen von Block G3 finden im Frühjahrssemester statt.
Block G4
Studierende, die aus einem anderen ETH-Studiengang in das zweite Studienjahr des Bachelor-Studiengangs RW übergetreten sind und deren Basisprüfung das Fach "Physik I" nicht umfasst, müssen im Prüfungsblock G4 anstelle von "Physik II" (im Frühjahrssemester) den Jahreskurs "Physik I und II" (402-0043-00L und 402-0044-00L) aus dem Bachelor-Studiengang Chemie belegen und die entsprechende Prüfung ablegen.
NummerTitelTypECTSUmfangDozierende
402-0043-00LPhysik IW4 KP3V + 1UT. Esslinger
KurzbeschreibungEinführung in die Denk- und Arbeitsweise in der Physik unter Zuhilfenahme von Demonstrationsexperimenten: Mechanik von Massenpunkten und starren Körpern, Schwingungen und Wellen.
LernzielVermittlung der physikalischen Denk- und Arbeitsweise und Einführung in die Methoden in einer experimentellen Wissenschaft. Die Studenten und Studentinnen soll lernen, physikalische Fragestellungen im eigenen Wissenschaftsbereich zu identifizieren, zu kommunizieren und zu lösen.
InhaltMechanik (Bewegung, Newtonsche Axiome, Arbeit und Energie, Impulserhaltung, Drehbewegungen, Gravitation, deformierbare Körper)
Schwingungen und Wellen (Schwingungen, mechanische Wellen, Akustik)
SkriptDie Vorlesung richtet sich nach dem Lehrbuch "Physik" von Paul A. Tipler.
LiteraturTipler, Paul A., Mosca, Gene, Physik (für Wissenschaftler und Ingenieure), Springer Spektrum
Voraussetzungen / BesonderesVoraussetzungen: Mathematik I & II
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