Search result: Catalogue data in Spring Semester 2016
Computational Science and Engineering Bachelor | ||||||
First Year Courses | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
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401-0232-10L | Analysis II | O | 8 credits | 4V + 2U | A. Iozzi | |
Abstract | Introduction to differential calculus and integration in several variables. | |||||
Objective | ||||||
Content | Integration in several variables. More on differential equations. Differential calculus of several variables: maxima and minima, implicit function theorem. Vector calculus: line and surface integrals, the theorems of Green, Gauss and Stokes. Applications. | |||||
Lecture notes | Christian Blatter: Ingenieur-Analysis (Kapitel 4-6) | |||||
401-0302-10L | Complex Analysis | O | 4 credits | 3V + 1U | T. Bühler | |
Abstract | Basics of complex analysis in theory and applications, in particular the global properties of analytic functions. Introduction to the integral transforms and description of some applications | |||||
Objective | Erwerb von einigen grundlegenden Werkzeuge der komplexen Analysis. | |||||
Content | Examples of analytic functions, Cauchy‘s theorem, Taylor and Laurent series, singularities of analytic functions, residues. Fourier series and Fourier integral, Laplace transform. | |||||
Literature | M. Ablowitz, A. Fokas: "Complex variables: introduction and applications", Cambridge Text in Applied Mathematics, Cambridge University Press 1997 E. Kreyszig: "Advanced Engineering Analysis", Wiley 1999 J. Brown, R. Churchill: "Complex Analysis and Applications", McGraw-Hill 1995 J. Marsden, M. Hoffman: "Basic complex analysis", W. H. Freeman 1999 P. P. G. Dyke: "An Introduction to Laplace Transforms and Fourier Series", Springer 2004 Ch. Blatter: "Komplexe Analysis, Fourier- und Laplace-Transformation", Autographie A. Oppenheim, A. Willsky: "Signals & Systems", Prentice Hall 1997 M. Spiegel: "Laplace Transforms", Schaum's Outlines, Mc Graw Hill | |||||
Prerequisites / Notice | Prerequisites: Analysis I and II | |||||
252-0002-00L | Data Structures and Algorithms | O | 7 credits | 4V + 2U | P. Widmayer | |
Abstract | This course is about fundamental algorithm design paradigms (such as induction, divide-and-conquer, backtracking, dynamic programming), classic algorithmic problems (such as sorting and searching), and data structures (such as lists, hashing, search trees). The connection between algorithms and data structures is explained for geometric and graph problems. | |||||
Objective | An understanding of the design and analysis of fundamental algorithms and data structures. | |||||
Content | Es werden grundlegende Algorithmen und Datenstrukturen vorgestellt und analysiert. Dazu gehören auf der einen Seite Entwurfsmuster für Algorithmen, wie Induktion, divide-and-conquer, backtracking und dynamische Optimierung, ebenso wie klassische algorithmische Probleme, wie Suchen und Sortieren. Auf der anderen Seite werden Datenstrukturen für verschiedene Zwecke behandelt, darunter verkettete Listen, Hashtabellen, balancierte Suchbäume, verschiedene heaps und union-find-Strukturen. Weiterhin wird Adaptivität bei Datenstrukturen (wie etwa Splay-Bäume) und bei Algorithmen (wie etwa online-Algorithmen) beleuchtet. Das Zusammenspiel von Algorithmen und Datenstrukturen wird anhand von Geometrie- und Graphenproblemen illustriert. | |||||
Literature | Th. Ottmann, P.Widmayer: Algorithmen und Datenstrukturen, Spektrum-Verlag, 5. Auflage, Heidelberg, Berlin, Oxford, 2011 | |||||
Prerequisites / Notice | Voraussetzung: 252-0021-00L Einführung in die Programmierung | |||||
402-0040-00L | Physics I | O | 5 credits | 4V + 2U | Y. M. Acremann, D. Pescia | |
Abstract | Part A: Introduction to mechanics, wave phenomena, Kelpler problem, rotational motion. Part B: electrostatics of metals and isolators, magnetostatics, Maxwell equations. | |||||
Objective | Fundamentals of mechanics, oscillations, waves, electrostatics and magnetostatics. | |||||
Content | Part A: Introduction to mechanics, wave phenomena, Kelpler problem, rotational motion. Part B: electrostatics of metals and isolators, magnetostatics, Maxwell equations. | |||||
Lecture notes | A copy of the blackboard is made available online. | |||||
Literature | (Fakultativ): Teil A: W. Nolting, "Klassische Mechanik", Springer Verlag, Berlin, 2011. Teil B: W. Nolting, "Elektrodynamik", Springer Verlag, Berlin, 2011 | |||||
529-4000-00L | Chemistry | O | 4 credits | 3G | E. C. Meister | |
Abstract | Introduction to chemistry with aspects of inorganic, organic and physical chemistry. | |||||
Objective | - Understanding of simple models of chemical bonding, three-dimensional molecular structure and molecular chirality - Quantitative description of selected chemical systems by means of reaction equations and equilibria - Understanding of fundamental concepts of chemical kinetics (e.g. reaction order, rate law, rate constant) | |||||
Content | Chemical bond and molecular structure (VSEPR), reactions, equilibria, electrochemistry, chemical kinetics. | |||||
Literature | C.E. Housecroft, E.C. Constable, Chemistry. An Introduction to Organic, Inorganic and Physical Chemistry, Pearson: Harlow 2010 C.E. Mortimer, U. Müller, Chemie, 10. Auflage, Thieme: Stuttgart 2010 |
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