Search result: Catalogue data in Spring Semester 2017
Interdisciplinary Sciences Bachelor ![]() | ||||||
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Number | Title | Type | ECTS | Hours | Lecturers | |
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401-1262-07L | Analysis II ![]() | O | 10 credits | 6V + 3U | M. Einsiedler | |
Abstract | Introduction to differential and integral calculus in several real variables, vector calculus: differential, partial derivative, implicit functions, inverse function theorem, minima with constraints; Riemann integral, vector fields, differential forms, path integrals, surface integrals, divergence theorem, Stokes' theorem. | |||||
Objective | ||||||
Content | Calculus in several variables; curves and surfaces in R^n; extrema with constraints; integration in n dimensions; vector calculus. | |||||
Literature | K. Koenigsberger: Analysis II, Springer-Verlag R. Courant: Vorlesungen ueber Differential- und Integralrechnung. Springer Verlag V. Zorich: Analysis II. Springer Verlag 2006 http://www.springerlink.com/content/w6617h/ Chr. Blatter: Analysis. http://www.math.ethz.ch/~blatter/ Struwe: Analysis I/II, siehe https://people.math.ethz.ch/%7estruwe/skripten.html H. Heuser: Lehrbuch der Analysis. Teubner Verlag W. Walter: Analysis 2. Springer Verlag O. Forster: Analysis II. Vieweg Verlag J. Appell: Analysis in Beispielen und Gegenbeispielen. Springer Verlag http://link.springer.com/book/10.1007%2F978-3-540-88903-8 | |||||
401-1152-02L | Linear Algebra II | O | 7 credits | 4V + 2U | M. Akveld | |
Abstract | Eigenvalues and eigenvectors, Jordan normal form, bilinear forms, euclidean and unitary vector spaces, selected applications. | |||||
Objective | Basic knowledge of the fundamentals of linear algebra. | |||||
402-1782-00L | Physics II Accompanying the lecture course "Physics II", among GESS Science in Perspective is offered: 851-0147-01L Philosophical Reflections on Physics II | O | 7 credits | 4V + 2U | R. Wallny | |
Abstract | Introduction to theory of waves, electricity and magnetism. This is the continuation of Physics I which introduced the fundamentals of mechanics. | |||||
Objective | basic knowledge of mechanics and electricity and magnetism as well as the capability to solve physics problems related to these subjects. | |||||
529-0012-01L | Physical Chemistry I: Thermodynamics ![]() | O | 4 credits | 3V + 1U | F. Merkt | |
Abstract | Foundations of chemical thermodynamics. The first, second and third law of thermodynamics: Thermodynamic temperature scale, internal energy, enthalpy, entropy, the chemical potential. Solutions and mixtures, phase diagrams. Reaction thermodynamics: reaction parameters and equilibrium conditions, equilibrium constants. Thermodynamics of processes at surfaces and interfaces. | |||||
Objective | Introduction to chemical thermodynamics | |||||
Content | The first, second and third law of thermodynamics: empirical temperature and thermodynamic temperature scale, internal energy, entropy, thermal equilibrium. Models and standard states: ideal gases, ideal solutions and mixtures, real gases, real solutions and mixtures, activity, tables of standard thermodynamic quantities. Reaction thermodynamics: the chemical potential, reaction parameters and equilibrium conditions, equilibrium constants and their pressure and temperature dependence. Phase equilibria. Thermodynamics at surfaces and interfaces: Adsorption equilibria. Capillary forces. Adsorption isothermes. | |||||
Lecture notes | In preparation. | |||||
Literature | A list of possible text books will be provided as separate documents in the lecture. | |||||
Prerequisites / Notice | Requirements: Allgemeine Chemie I, Grundlagen der Mathematik |
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