Christoph Schwab: Catalogue data in Autumn Semester 2022

Name Prof. Dr. Christoph Schwab
Seminar für Angewandte Mathematik
ETH Zürich, HG G 57.1
Rämistrasse 101
8092 Zürich
Telephone+41 44 632 35 95
Fax+41 44 632 10 85
RelationshipFull Professor

401-2653-21LNumerical Analysis I Information Restricted registration - show details 7 credits3V + 2UC. Schwab
AbstractThis course will give an introduction to mathematical analysis of numerical methods, aimed at mathematics majors. It covers numerical linear algebra, quadrature, interpolation and approximation methods as well as their error analysis and implementation.
ObjectiveKnowledge of the fundamental numerical methods, their mathematical foundation as well as `numerical literacy': application of numerical methods for the solution
of application problems, mathematical foundations of numerical
methods, and basic mathematical methods of the analysis of
stability, consistency and convergence of numerical methods,
MATLAB implementation.
ContentRounding errors, direct solution of linear systems of equations, iterative solution of systems of nonlinear equations, interpolation and approximation (polynomial as well as trigonometric), least squares problems, extrapolation, numerical quadrature, elementary optimization methods, fast Fourier transformation.
Lecture notesLecture Notes and reading list will be available.
LiteratureLecture Notes (german or english) will be made available to registered students of ETH BSc MATH.

Quarteroni, Sacco and Saleri, Numerische Mathematik 1 + 2, Springer Verlag 2002 (in German).

There is an English version of this text, containing both German volumes, from the same publisher. If you feel more comfortable with English, you can follow this text as well. Content and Indexing are identical in the German and the English text.
Prerequisites / NoticeAdmission Requirements:
Completed courses and passed written exams
Linear Algebra I, Analysis I in ETH BSc MATH
Linear Algebra II, Analysis II in ETH BSc MATH

Weekly homework assignments involving MATLAB programming
are an integral part of the course.
Turn-in of solutions will be graded.
Subject-specific CompetenciesConcepts and Theoriesassessed
Techniques and Technologiesassessed
Method-specific CompetenciesAnalytical Competenciesassessed
Media and Digital Technologiesfostered
Project Managementfostered
Social CompetenciesCommunicationfostered
Cooperation and Teamworkfostered
Customer Orientationfostered
Leadership and Responsibilityfostered
Self-presentation and Social Influence fostered
Sensitivity to Diversityfostered
Personal CompetenciesAdaptability and Flexibilityfostered
Creative Thinkingassessed
Critical Thinkingassessed
Integrity and Work Ethicsfostered
Self-awareness and Self-reflection fostered
Self-direction and Self-management fostered
401-5650-00LZurich Colloquium in Applied and Computational Mathematics Information 0 credits1KR. Abgrall, R. Alaifari, H. Ammari, R. Hiptmair, S. Mishra, S. Sauter, C. Schwab
AbstractResearch colloquium