401-1652-10L  Numerical Analysis I

SemesterSpring Semester 2016
LecturersC. Schwab
Periodicityyearly recurring course
Language of instructionGerman



Courses

NumberTitleHoursLecturers
401-1652-10 VNumerische Mathematik I3 hrs
Tue15:15-16:00HG F 3 »
Fri08:15-10:00HG E 5 »
C. Schwab
401-1652-10 UNumerische Mathematik I
Di 16-18 oder Mi 13-15 gemäss Gruppeneinteilung
2 hrs
Tue16:15-18:00IFW A 32.1 »
16:15-18:00LFW E 13 »
16:15-18:00ML F 38 »
16:15-18:00ML H 34.3 »
16:15-18:00ML J 34.3 »
16:15-18:00ML J 37.1 »
Wed13:15-15:00CAB G 61 »
13:15-15:00HG E 33.1 »
13:15-15:00HG E 33.5 »
13:15-15:00HG F 3 »
C. Schwab

Catalogue data

AbstractThis course will give an introduction to 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 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, solution of linear systems of equations, nonlinear equations,
interpolation (polynomial as well as trigonometric), least squares problems,
extrapolation, numerical quadrature, elementary optimization methods.
Lecture notesLecture Notes and reading list will be available.
LiteratureLecture Notes (german or english) will be made available to 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 course
Linear Algebra I, Analysis I in ETH BSc MATH
Parallel enrolment in
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.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block forBachelor's Programme in Mathematics 2010; Version 24.02.2016 (Examination Block)
ECTS credits6 credits
ExaminersC. Schwab
Typesession examination
Language of examinationGerman
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 180 minutes
Additional information on mode of examinationDie Sessionsprüfung umfasst theoretische Aufgaben (auf Papier zu bearbeiten) und Implementierungsaufgaben (MATLAB, auf von der ETH gestelltem Rechner zu bearbeiten).

The language of examination can be switched to English for MSc students who need this course as additional requirement.
Written aidsEigenhändig handgeschriebene Zusammenfassung, 10 Seiten A4.
Online examinationThe examination may take place on the computer.
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.

Groups

No information on groups available.

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Mathematics BachelorFirst Year Compulsory CoursesOInformation