Ana Cannas da Silva: Catalogue data in Spring Semester 2021 |  |
| Name | Prof. Dr. Ana Cannas da Silva |
| Address | Dep. Mathematik ETH Zürich, HG G 27.4 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telephone | +41 44 632 85 90 |
| ana.cannas@math.ethz.ch | |
| URL | http://www.math.ethz.ch/~acannas |
| Department | Mathematics |
| Relationship | Adjunct Professor |
| Number | Title | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|
| 401-0164-00L | Multilinear Algebra and Its Applications  Offered for the last time in the Spring Semester 2021. | 3 credits | 2V + 1U | A. Cannas da Silva | |
| Abstract | Review of the basic concepts of linear algebra, including vector spaces, linear and multilinear maps. Introduction to tensors and multilinear algebra. | ||||
| Objective | The goal of this course is to introduce the student to tensors, multilinear algebra and its applications. | ||||
| Content | Review of linear algebra with emphasis on vector spaces and linear and multilinear transformations. Tensors of first and second order Higher order tensors. Multilinear maps and tensor products of vector spaces Applications of tensors. | ||||
| 401-0262-G0L | Analysis II  | 8 credits | 5V + 3U | A. Cannas da Silva, U. Lang | |
| Abstract | Differential and integral calculus for functions of one and several variables; vector analysis; ordinary differential equations of first and of higher order, systems of ordinary differential equations; power series. For each of these topics many examples from mechanics, physics and other areas. | ||||
| Objective | Introduction to the mathematical foundations of engineering sciences, as far as concerning differential and integral calculus. | ||||
| Content | Differential- und Integralrechnung von Funktionen einer und mehrerer Variablen; Vektoranalysis; gewöhnliche Differentialgleichungen erster und höherer Ordnung, Differentialgleichungssysteme; Potenzreihen. In jedem Teilbereich eine grosse Anzahl von Anwendungsbeispielen aus Mechanik, Physik und anderen Lehrgebieten des Ingenieurstudiums. | ||||
| Lecture notes | U. Stammbach: Analysis I/II | ||||
| Prerequisites / Notice | The exercises and online quizzes are an integral part of this course. | ||||
| 401-5580-00L | Symplectic Geometry Seminar | 0 credits | P. Biran, A. Cannas da Silva | ||
| Abstract | Research colloquium | ||||
| Objective | |||||