Search result: Catalogue data in Spring Semester 2019
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 | P. S. Jossen | |
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 | H. Amann, J. Escher: Analysis II https://link.springer.com/book/10.1007/3-7643-7402-0 J. Appell: Analysis in Beispielen und Gegenbeispielen https://link.springer.com/book/10.1007/978-3-540-88903-8 R. Courant: Vorlesungen über Differential- und Integralrechnung https://link.springer.com/book/10.1007/978-3-642-61973-1 O. Forster: Analysis 2 https://link.springer.com/book/10.1007/978-3-658-02357-7 H. Heuser: Lehrbuch der Analysis https://link.springer.com/book/10.1007/978-3-322-96826-5 K. Königsberger: Analysis 2 https://link.springer.com/book/10.1007/3-540-35077-2 W. Walter: Analysis 2 https://link.springer.com/book/10.1007/978-3-642-97614-8 V. Zorich: Mathematical Analysis II (englisch) https://link.springer.com/book/10.1007/978-3-662-48993-2 | |||||
401-1152-02L | Linear Algebra II ![]() | O | 7 credits | 4V + 2U | R. Pink | |
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. | |||||
Literature | Siehe Lineare Algebra I | |||||
Prerequisites / Notice | Linear Algebra I | |||||
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 | K. S. Kirch | |
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 | See homepage of the lecture. | |||||
Literature | See homepage of the lecture. | |||||
Prerequisites / Notice | Requirements: Allgemeine Chemie I, Grundlagen der Mathematik | |||||
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Number | Title | Type | ECTS | Hours | Lecturers | |
529-0012-03L | General Chemistry (Organic Chemistry) II | Z | 4 credits | 3V + 1U | P. Chen | |
Abstract | Classification of organic reactions, reactive intermediates: radicals, carbocations, carbanions, electrophilic aromatic substitution, electrophilic addition to double bonds, HSAB concept, nucleophilic substitution at sp3 hybridized carbon centres (SN1/SN2 reactions), nucleophilic aromatic substitutions, eliminations, oxidations, reductions. | |||||
Objective | Understanding of fundamental reactivity principles and the relationship between structure and reactivity. Knowledge of the most important raection types and of selected classes of compounds. | |||||
Content | Classification of organic reactions, reactive intermediates: radicals, carbocations, carbanions, electrophilic aromatic substitution, electrophilic addition to double bonds, HSAB concept, nucleophilic substitution at sp3 hybridized carbon centres (SN1/SN2 reactions), nucleophilic aromatic substitutions, eliminations, oxidations, reductions. | |||||
Lecture notes | pdf file available at the beginning of the course | |||||
Literature | [1] P. Sykes, "Reaktionsmechanismen der Organischen Chemie", VCH Verlagsgesellschaft, Weinheim 1988. [2] Carey/Sundberg, Advanced Organic Chemistry, Part A and B, 3rd ed., Plenum Press, New York, 1990/1991. Deutsch: Organische Chemie. [3] Vollhardt/Schore, Organic Chemistry, 2th ed., Freeman, New York, 1994 Deutsche Fassung: Organische Chemie 1995, Verlag Chemie, Wein¬heim, 1324 S. Dazu: N. Schore, Arbeitsbuch zu Vollhardt, Organische Chemie, 2. Aufl. Verlag Chemie, Weinheim, 1995, ca 400 S. [4] J. March, Advanced Organic Chemistry; Reactions, Mechanisms, and Structure, 5th ed., Wiley, New York, 1992. [5] Streitwieser/Heathcock, Organische Chemie, 2. Auflage, Verlag Chemie, Weinheim, 1994. [6] Streitwieser/Heathcock/Kosower, Introduction to Organic Chemistry, 4th ed., MacMillan Publishing Company, New York, 1992. [7] P. Y. Bruice, Organische Chemie, 5. Auflage, Pearson Verlag, 2007. | |||||
529-0012-02L | General Chemistry (Inorganic Chemistry) II | Z | 4 credits | 3V + 1U | H. Grützmacher, W. Uhlig | |
Abstract | 1) General definitions 2) The VSEPR model 3) Qualitative molecular orbital diagrams 4) Closest packing, metal structures 5) The Structures of metalloids 6) Structures of the non-metals 7) Synthesis of the elements 8) Reactivity of the elements 9) Ionic Compounds 10) Ions in Solution 11) Element hydrogen compounds 12) Element halogen compounds 13) Element oxygen compounds 14) Redox chemistry | |||||
Objective | Understanding of the fundamental principles of the structures, properties, and reactivities of the main group elements (groups 1,2 and 13 to 18). | |||||
Content | The course is divided in 14 sections in which the fundamental phenomena of the chemistry of the main group elements are discussed: Part 1: Introduction in the periodical properties of the elements and general definitions –Part 2: The VSEPR model –Part 3: Qualitative molecular orbital diagrams for simple inorganic molecules – Part 4: Closest packing and structures of metals Part 5: The Structures of semimetals (metalloids) of the main group elements –Part 6: Structures of the non-metals– Part 7: Synthesis of the elements. –Part 8: Reactivity of the elements Part 9: Ionic Compounds Part 10: Ions in Solution Part 11: Element hydrogen compounds Part 12: Element halogen compounds Part 13: Element oxygen compounds Part 14: Redox chemistry. | |||||
Lecture notes | The transparencies used in the course are accessible via the internet on Link | |||||
Literature | J. Huheey, E. Keiter, R. Keiter, Inorganic Chemistry, Principles and Reactivity, 4th edition, deGruyter, 2003. C.E.Housecroft, E.C.Constable, Chemistry, 4th edition, Pearson Prentice Hall, 2010. | |||||
Prerequisites / Notice | Basis for the understanding of this lecture is the course Allgemeine Chemie 1. |
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