Search result: Catalogue data in Autumn Semester 2023

Electrical Engineering and Information Technology Bachelor Information
3rd Semester: Examination Blocks
Examination Block 1
NumberTitleTypeECTSHoursLecturers
401-0353-00LAnalysis 3 Information Restricted registration - show details O4 credits2V + 2UM. Iacobelli
AbstractIn this lecture we treat problems in applied analysis. The focus lies on the solution of quasilinear first order PDEs with the method of characteristics, and on the study of three fundamental types of partial differential equations of second order: the Laplace equation, the heat equation, and the wave equation.
Learning objectiveThe aim of this class is to provide students with a general overview of first and second order PDEs, and teach them how to solve some of these equations using characteristics and/or separation of variables.
Content1.) General introduction to PDEs and their classification (linear, quasilinear, semilinear, nonlinear / elliptic, parabolic, hyperbolic)

2.) Quasilinear first order PDEs
- Solution with the method of characteristics
- COnservation laws

3.) Hyperbolic PDEs
- wave equation
- d'Alembert formula in (1+1)-dimensions
- method of separation of variables

4.) Parabolic PDEs
- heat equation
- maximum principle
- method of separation of variables

5.) Elliptic PDEs
- Laplace equation
- maximum principle
- method of separation of variables
- variational method
LiteratureY. Pinchover, J. Rubinstein, "An Introduction to Partial Differential Equations", Cambridge University Press (12. Mai 2005)
Prerequisites / NoticePrerequisites: Analysis I and II, Fourier series (Complex Analysis)
402-0053-00LPhysics IIO8 credits4V + 2UA. Imamoglu
AbstractThe goal of the Physics II class is an introduction to quantum mechanics
Learning objectiveTo work effectively in many areas of modern engineering, such as renewable energy and nanotechnology, students must possess a basic understanding of quantum mechanics. The aim of this course is to provide this knowledge while making connections to applications of relevancy to engineers. After completing this course, students will understand the basic postulates of quantum mechanics and be able to apply mathematical methods for solving various problems including atoms, molecules, and solids. Additional examples from engineering disciplines will also be integrated.
ContentContent:
- Wave mechanics: the old quantum theory
- Postulates and formalism of Quantum Mechanics
- First application: the quantum well and the harmonic Oscillator
- QM in three dimension: the Hydrogen atom
- Identical particles: Pauli's principle
- Crystalline Systems and band structures
- Quantum statistics
- Approximation Methods
- Applications in Engineering
- Entanglement and superposition
Lecture notesLecture notes (hand-written) will be distributed via the Moodle interface
LiteratureDavid J. Griffiths, "Introduction to quantum mechanics" Second edition, Cambridge University Press.

Link
Prerequisites / NoticePrerequisites: Physics I.
CompetenciesCompetencies
Subject-specific CompetenciesConcepts and Theoriesassessed
Method-specific CompetenciesAnalytical Competenciesassessed
Problem-solvingassessed
Personal CompetenciesCreative Thinkingassessed
Critical Thinkingassessed
227-0045-00LSignals and Systems IO4 credits2V + 2UH. Bölcskei
AbstractSignal theory and systems theory (continuous-time and discrete-time): Signal analysis in the time and frequency domains, signal spaces, Hilbert spaces, generalized functions, linear time-invariant systems, sampling theorems, discrete-time signals and systems, digital filter structures, Discrete Fourier Transform (DFT), finite-dimensional signals and systems, Fast Fourier Transform (FFT).
Learning objectiveIntroduction to mathematical signal processing and system theory.
ContentSignal theory and systems theory (continuous-time and discrete-time): Signal analysis in the time and frequency domains, signal spaces, Hilbert spaces, generalized functions, linear time-invariant systems, sampling theorems, discrete-time signals and systems, digital filter structures, Discrete Fourier Transform (DFT), finite-dimensional signals and systems, Fast Fourier Transform (FFT).
Lecture notesLecture notes, problem set with solutions.
252-0836-00LComputer Science II Information O4 credits2V + 2UM. Schwerhoff, F. Friedrich Wicker
AbstractThe courses covers the foundations of design and analysis of algorithms and data structures, including graph theory and graph problems. It also introduces generic and parallel programming.
Learning objectiveUnderstanding design, analysis and implementation of fundamental algorithms and data structures. Overview of the concepts of generic and parallel programming. Hands-on experience with implementing the aforementioned in C++.
Content* Asymptotic runtime (algorithmic complexity)
* Fundamental algorithmic problems, e.g. searching, sorting, shortest paths, spanning trees
* Classical data structures, e.g. search trees, balanced trees, heaps, hash tables
* Graph theory and graph problems
* Problem solving strategies as design patterns for algorithms, e.g. induction, divide and conquer, backtracking, dynamic programming
* Generic programming: C++ templates higher-order functions, lambdas, closures
* Parallel programming: (in)dependence of computations, parallelism and concurrency, shared memory, races, mutual exclusion, communication and synchronisation

Knowledge obtained in the lecture is deepened through practical and/or programming exercises (C++, Code Expert).
Lecture notesAll material (slides, lecture recordings, examples, exercises, etc.) will be published on the course website.
Literature* T. Ottmann, P. Widmayer: Algorithmen und Datenstrukturen,
Spektrum-Verlag, 5. Auflage, Heidelberg, Berlin, Oxford, 2011
* T. H. Cormen, C. E. Leiserson, R. Rivest, C. Stein: Algorithmen - Eine Einführung, Oldenbourg, 2010
* B. Stroustrup, The C++ Programming Language, 4th Edition, Addison-Wesley, 2013.
* B. Stroustrup, A Tour of C++, 3rd Edition, Addison-Wesley, 2022
Prerequisites / NoticePrerequisite: Computer Science I
CompetenciesCompetencies
Subject-specific CompetenciesConcepts and Theoriesassessed
Techniques and Technologiesassessed
Method-specific CompetenciesAnalytical Competenciesassessed
Media and Digital Technologiesassessed
Problem-solvingassessed
Examination Block 2
NumberTitleTypeECTSHoursLecturers
227-0077-10LElectronic Circuits Information O4 credits2V + 2UH. Wang
AbstractIntroductory lecture on electronic circuits. Transistor fundamentals, analysis and design of transistor based electronic circuits such as amplifiers and filters; operational amplifiers and circuits based thereon.
Learning objectiveModern, transistor-based electronics has transformed our lives and plays a crucial role in our economy since the 2nd half of last century. The main objective of this course in electronic circuits is to introduce the concept of the active device, including operational amplifiers, and their use in amplification, signal conditioning, switching and filtering to students. In addition to gaining experience with typical electronic circuits that are found in common applications, including their own Gruppenarbeit and Fachpraktikum projects, students sharpen their understanding of linear circuits based on nonlinear devices, imperfections of electronic circuits and the concept of design (as opposed to analysis). The course is a prerequisite for higher semester subjects such as analog integrated circuits, RF circuits for wireless communications, A/D and D/A converters and optoelectronics.
ContentReview of transistor devices (bipolar and MOSFET), large signal and small signal characteristics, biasing and operating points. Single transistor amplifiers, simple feedback for bias stabilization. Frequency response of simple amplifiers. Broadbanding techniques. Differential amplifiers, operational amplifiers, variable gain amplifiers. Instrumentation amplifiers: common mode rejection, noise, distortion, chopper stabilization. Transimpedance amplifiers. Active filters: simple and biquadratic active RC-filters, higher order filters, biquad and ladder realizations. Switched-capacitor filters.
LiteratureGöbel, H.: Einführung in die Halbleiter-Schaltungstechnik. Springer-Verlag Berlin Heidelberg, 6th edition, 2019.

Pederson, D.O. and Mayaram, K.: Analog Integrated Circuits for Communication. Springer US, 2nd edition, 2008.

Sansen, W.M.C.: Analog Design Essentials. Springer US, 1st edition, 2006.

Su, K.L.: Analog Filters. Springer US, 2nd edition, 2002.
401-0053-00LDiscrete Mathematics Restricted registration - show details
as of the Autumn Semester 2024, the course unit changes to 227-0033-01L
O4 credits2V + 1UD. Adjiashvili
AbstractIntroduction to foundations of discrete mathematics: combinatorics (elementary counting), graph theory, algebra, and applications thereof.
Learning objectiveThe main goal is to get a good understanding of some of the most prominent areas within discrete mathematics.
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