Cornelia Busch: Catalogue data in Autumn Semester 2016

Name Dr. Cornelia Busch
Address
Lehre Mathematik
ETH Zürich, HG G 34.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 82 69
E-mailcornelia.busch@math.ethz.ch
DepartmentMathematics
RelationshipLecturer

NumberTitleECTSHoursLecturers
401-0203-00LMathematics Information 4 credits2V + 1UC. Busch
AbstractThis course gives an introduction to the following subjects:
linear algebra (systems of linear equations, matrices), calculus, multivariable calculus, differential equations.
ObjectiveBasic mathematical knowledge for engineers. Mathematics as a tool to solve engineering problems.
ContentThis course gives an introduction to the following subjects:
linear algebra (systems of linear equations, matrices), calculus, multivariable calculus, differential equations.
LiteratureTom 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 Restricted registration - show details
Number of participants limited to 12.
4 credits2SC. Busch
AbstractBasic concepts of homological algebra, homology and cohomology of groups.
Objective
LiteraturePeter 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
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
7 credits15RM. Akveld, C. Busch
AbstractMathematical tools of an engineer
ObjectiveMathematics as a tool to solve engineering problems, mathematical formulation of problems in science and engineering. Basic mathematical knowledge of an engineers.
ContentMulti 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.
LiteratureTextbooks 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
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
14 credits30RM. Akveld, C. Busch
AbstractMathematical tools for the engineer
ObjectiveMathematics as a tool to solve engineering problems. Mathematical formulation of technical and scientific problems. Basic mathematical knowledge for engineers.
ContentComplex 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.
LiteratureTextbooks 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