# Search result: Catalogue data in Spring Semester 2021

Interdisciplinary Sciences Bachelor | ||||||

Physical-Chemical Direction | ||||||

2. Semester (Physical-Chemical Direction) | ||||||

Compulsory Subjects First Year Examinations | ||||||

Number | Title | Type | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|---|

401-1262-07L | Analysis II | O | 10 credits | 6V + 3U | G. Felder | |

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. | |||||

Learning 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 | M. Akka Ginosar | |

Abstract | Eigenvalues and eigenvectors, Jordan normal form, bilinear forms, euclidean and unitary vector spaces, selected applications. | |||||

Learning objective | Basic knowledge of the fundamentals of linear algebra. | |||||

Literature | Siehe Lineare Algebra I | |||||

Prerequisites / Notice | Linear Algebra I | |||||

402-1782-00L | 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. | |||||

Learning 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 | A. Barnes | |

Abstract | Foundations of chemical thermodynamics: Entropy, chemical thermodynamics, laws of thermodynamics, partition functions, chemical reactions, reaction free energies, equilibrium conditions, chemical potential, standard states, ideal and real systems and gases, phase equilibria, colligative properties, with applications to current research at the ETHZ. | |||||

Learning objective | Understanding of entropy and thermodynamic principles. | |||||

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. | |||||

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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