Search result: Catalogue data in Autumn Semester 2020
Electrical Engineering and Information Technology Bachelor | ||||||
3rd Semester: Examination Blocks | ||||||
Examination Block 1 | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
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401-0353-00L | Analysis 3 | O | 4 credits | 2V + 2U | M. Iacobelli | |
Abstract | In 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. | |||||
Objective | The 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. | |||||
Content | 1.) 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 | |||||
Literature | Y. Pinchover, J. Rubinstein, "An Introduction to Partial Differential Equations", Cambridge University Press (12. Mai 2005) | |||||
Prerequisites / Notice | Prerequisites: Analysis I and II, Fourier series (Complex Analysis) | |||||
402-0053-00L | Physics II | O | 8 credits | 4V + 2U | A. Imamoglu | |
Abstract | The goal of the Physics II class is an introduction to quantum mechanics | |||||
Objective | To 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. | |||||
Content | Content: - 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 notes | Lecture notes (hand-written) will be distributed via the Moodle interface | |||||
Literature | David J. Griffiths, "Introduction to quantum mechanics" Second edition, Cambridge University Press. Link | |||||
Prerequisites / Notice | Prerequisites: Physics I. | |||||
227-0045-00L | Signals and Systems I | O | 4 credits | 2V + 2U | H. Bölcskei | |
Abstract | Signal 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). | |||||
Objective | Introduction to mathematical signal processing and system theory. | |||||
Content | Signal 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 notes | Lecture notes, problem set with solutions. | |||||
252-0836-00L | Computer Science II | O | 4 credits | 2V + 1U | F. Mattern | |
Abstract | Introduction to basic problem solving methods, algorithms, and data structures. Topics: divide and conquer, recursion, sorting algorithms, backtracking, game tree search, data structures (lists, stacks, binary trees, etc.), discrete simulation, concurrency, complexity, verification. In the assignments and exercises, the programming language Java is used. | |||||
Objective | Introduction to the general methods of computer science for electrical engineers. Also provides basic skills for advanced exercises and projects later in the electrical engineering program. | |||||
Content | Part II of the lecture concentrates on the most common problem solving skills, algorithms, and data structures. It also teaches fundamental concepts and mechanisms of structured programming. Furthermore, working with formal systems, the necessity of abstraction, and the importance of modeling in computer science will be motivated. The emphasis of the lecture is on practical concepts of computer science. Specific topics are: complexity and correctness of algorithms, divide and conquer, recursion, algorithms for sorting, backtracking, game tree search, data structures (lists, stacks, inary trees, etc.), discrete simulation, concurrency, and verification. For the assignments and exercises, the programming language Java is used. Here, also modularization, abstraction, encapsulation, and object orientation will be considered. Occasionally, short remarks on the historical context of relevant concepts are given. In the practice groups, students program an automatic player for the game "Reversi"; at the end of the semester a tournament will take place. | |||||
Lecture notes | Copies of slides, extended with bonus slides that give hints to advanced concepts and present the historical context of selected concepts. | |||||
Literature | Textbook: Mark Allan Weiss: Data Structures and Problem Solving Using Java, Addison Wesley. | |||||
Prerequisites / Notice | Prerequisite: Part 1 of the course. |
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