Cornelia Busch: Katalogdaten im Herbstsemester 2016

NameFrau Dr. Cornelia Busch
Adresse
Lehre Mathematik
ETH Zürich, HG E 64
Rämistrasse 101
8092 Zürich
SWITZERLAND
E-Mailcornelia.busch@math.ethz.ch
DepartementMathematik
BeziehungDozentin

NummerTitelECTSUmfangDozierende
401-0203-00LMathematics Information 4 KP2V + 1UC. Busch
KurzbeschreibungThis course gives an introduction to the following subjects:
linear algebra (systems of linear equations, matrices), calculus, multivariable calculus, differential equations.
LernzielBasic mathematical knowledge for engineers. Mathematics as a tool to solve engineering problems.
InhaltThis course gives an introduction to the following subjects:
linear algebra (systems of linear equations, matrices), calculus, multivariable calculus, differential equations.
LiteraturTom M. Apostol, Calculus, Volume 1, One-Variable Calculus with an Introduction to Linear Algebra, 2nd Edition, Wiley
Tom M. Apostol, Multi-Variable Calculus and Linear Algebra with Applications, 2nd Edition, Wiley
401-3180-66LHomological Algebra Belegung eingeschränkt - Details anzeigen
Maximale Teilnehmerzahl: 12
4 KP2SC. Busch
KurzbeschreibungBasic concepts of homological algebra, homology and cohomology of groups.
Lernziel
LiteraturPeter J. Hilton, Urs Stammbach: A Course in Homological Algebra, Second Edition, Graduate Texts in Mathematics 4, Springer 1997
Kenneth S. Brown: Cohomology of Groups, Graduate Texts in Mathematics 87, Springer-Verlag 1982
Charles A. Weibel: An Introduction to Homological Algebra, Cambridge Studies in Advanced Mathematics 38, Cambridge University Press, 1994
406-0242-AALAnalysis II Information
Belegung ist NUR erlaubt für MSc Studierende, die diese Lerneinheit als Auflagenfach verfügt haben.

Alle andere Studierenden (u.a. auch Mobilitätsstudierende, Doktorierende) können diese Lerneinheit NICHT belegen.
7 KP15RM. Akveld, C. Busch
KurzbeschreibungMathematical tools of an engineer
LernzielMathematics as a tool to solve engineering problems, mathematical formulation of problems in science and engineering. Basic mathematical knowledge of an engineers.
InhaltMulti variable calculus: gradient, directional derivative, chain rule, Taylor expansion, Lagrange multipliers. Multiple integrals: coordinate transformations, path integrals, integrals over surfaces, divergence theorem, applications in physics. Ordinary differential equations.
LiteraturTextbooks in English:
- J. Stewart: Multivariable Calculus, Thomson Brooks/Cole
- V. I. Smirnov: A course of higher mathematics. Vol. II. Advanced calculus
- W. L. Briggs, L. Cochran: Calculus: Early Transcendentals: International Edition, Pearson Education

- M. Akveld, R. Sperb, Analysis II, vdf
- L. Papula: Mathematik für Ingenieure 2, Vieweg Verlag
406-0243-AALAnalysis I and II Information
Belegung ist NUR erlaubt für MSc Studierende, die diese Lerneinheit als Auflagenfach verfügt haben.

Alle andere Studierenden (u.a. auch Mobilitätsstudierende, Doktorierende) können diese Lerneinheit NICHT belegen.
14 KP30RM. Akveld, C. Busch
KurzbeschreibungMathematical tools for the engineer
LernzielMathematics as a tool to solve engineering problems. Mathematical formulation of technical and scientific problems. Basic mathematical knowledge for engineers.
InhaltComplex numbers.
Calculus for functions of one variable with applications.
Simple Mathematical models in engineering.

Multi variable calculus: gradient, directional derivative, chain rule, Taylor expansion, Lagrange multipliers. Multiple integrals: coordinate transformations, path integrals, integrals over surfaces, divergence theorem, applications in physics. Ordinary differential equations.
LiteraturTextbooks in English:
- J. Stewart: Calculus, Cengage Learning, 2009, ISBN 978-0-538-73365-6.
- J. Stewart: Multivariable Calculus, Thomson Brooks/Cole.
- V. I. Smirnov: A course of higher mathematics. Vol. II. Advanced calculus.
- W. L. Briggs, L. Cochran: Calculus: Early Transcendentals: International Edition, Pearson Education. ISBN 978-0-321-65193-8.
Textbooks in German:
- M. Akveld, R. Sperb: Analysis I, vdf
- M. Akveld, R. Sperb: Analysis II, vdf
- L. Papula: Mathematik für Ingenieure und Naturwissenschaftler, Vieweg Verlag
- L. Papula: Mathematik für Ingenieure 2, Vieweg Verlag