Name | Prof. Dr. Meike Akveld |
Address | Dep. Mathematik ETH Zürich, HG J 55 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telephone | +41 44 632 33 78 |
meike.akveld@math.ethz.ch | |
URL | http://www.math.ethz.ch/~akveld |
Department | Mathematics |
Relationship | Adjunct Professor |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-0241-00L | Analysis I | 7 credits | 4V + 2U | M. Akveld, G.‑I. Ionita | |
Abstract | Mathematical tools for the engineer | ||||
Learning objective | Mathematics as a tool to solve engineering problems. Mathematical formulation of technical and scientific problems. Basic mathematical knowledge for engineers. | ||||
Content | Complex numbers. Calculus for functions of one variable with applications. Simple Mathematical models in engineering. | ||||
Lecture notes | Wird auf der Vorlesungshomepage zu Verfügung gestellt. | ||||
Literature | Klaus Dürrschnabel, "Mathematik für Ingenieure - Eine Einführung mit Anwendungs- und Alltagsbeispielen", Springer; online verfügbar unter: http://link.springer.com/book/10.1007/978-3-8348-2559-9/page/1 Tilo Arens et al., "Mathematik", Springer; online verfügbar unter: http://link.springer.com/book/10.1007/978-3-642-44919-2/page/1 Meike Akveld und Rene Sperb, "Analysis 1", vdf; http://vdf.ch/index.php?route=product/product&product_id=1706 Urs Stammbach, "Analysis I/II" (erhältlich im ETH Store); https://people.math.ethz.ch/~stammb/analysisskript.html | ||||
401-5960-00L | Colloquium on Mathematics, Computer Science, and Education ![]() Subject didactics for mathematics and computer science teachers. | 0 credits | N. Hungerbühler, M. Akveld, D. Grawehr Morath, D. Komm, P. Spindler | ||
Abstract | Didactics colloquium | ||||
Learning objective | |||||
406-0242-AAL | Analysis II 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 credits | 15R | M. Akveld | |
Abstract | Mathematical tools of an engineer | ||||
Learning objective | Mathematics as a tool to solve engineering problems, mathematical formulation of problems in science and engineering. Basic mathematical knowledge of an engineers. | ||||
Content | 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. | ||||
Literature | Textbooks 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-AAL | Analysis I and II 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 credits | 30R | M. Akveld | |
Abstract | Mathematical tools for the engineer | ||||
Learning objective | Mathematics as a tool to solve engineering problems. Mathematical formulation of technical and scientific problems. Basic mathematical knowledge for engineers. | ||||
Content | Complex 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. | ||||
Literature | Textbooks 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 |