401-1652-10L Numerical Analysis I
| Semester | Spring Semester 2021 |
| Lecturers | C. Schwab |
| Periodicity | yearly recurring course |
| Language of instruction | German |
Courses
| Number | Title | Hours | Lecturers | |||||||||||||||||||||||||
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| 401-1652-10 V | Numerische Mathematik I Der Kurs findet im FS 2021 letztmals vor Einführung des neuen Studienreglements statt. Er wird im «remote teaching» angeboten (Details unter https://metaphor.ethz.ch/x/2021/fs/401-1652-10L/ ). Vorlesung und Übungen finden dieses Semester vollständig im ONLINE-Modus statt, für das gesamte Semester. Anfangszeiten: Dienstag: 15:15 Freitag: 08:15 | 3 hrs |
| C. Schwab | ||||||||||||||||||||||||
| 401-1652-10 U | Numerische Mathematik I Groups are selected in myStudies. Der Kurs findet im FS 2021 letztmals vor Einführung des neuen Studienreglements statt. Di 16-18 oder Mi 14-16 gemäss Gruppeneinteilung Zusätzlich wird ein Study Center angeboten, wo Studierende Fragen zum Vorlesungsstoff und zu den Übungen stellen können. Vorlesung und Übungen finden dieses Semester vollständig im ONLINE-Modus statt, für das gesamte Semester. Anfangszeiten: Dienstag: 16:15 Mittwoch: 14:15 | 2 hrs |
| C. Schwab |
Catalogue data
| Abstract | This 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. |
| Learning objective | Knowledge 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. |
| Content | Rounding 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 notes | Lecture Notes and reading list will be available. |
| Literature | Lecture 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 / Notice | Admission 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 for | Bachelor's Degree Programme in Mathematics 2016; Version 25.02.2020 (First Year Examination Block 2) Bachelor's Programme in Mathematics 2010; Version 24.02.2016 (Examination Block) |
| ECTS credits | 6 credits |
| Examiners | C. Schwab |
| Type | session examination |
| Language of examination | German |
| Repetition | The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit. |
| Mode of examination | written 180 minutes |
| Additional information on mode of examination | Die während des Semesters angebotenen Lernelemente messen die aktive Teilnahme im Übungsbetrieb, was in mehreren Teilschritten mit bis zu 0.25 Notenpunkten benotet wird. Dieser Bonus von 0 bis 0.25 wird ungerundet zu der ungerundeten Note aus der Prüfung addiert. In der Vorlesung Numerische Mathematik I wird die Mitarbeit benotet durch die Abgabe von Übungsaufgaben. Studierende, die mindestens 2/3 der Übungsaufgaben sinnvoll bearbeitet haben, können in ihrer Endnote einen Bonus von maximal 0.25 Notenpunkten erhalten. Die 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 aids | Eigenhändig handgeschriebene Zusammenfassung, 10 Seiten A4 (keine Ausdrucke von Notizen, welche mit elektronischem Stylus geschrieben sind). Wörterbücher sind nicht erlaubt. |
| Digital exam | The exam takes place on devices provided by ETH Zurich. |
| Distance examination | It is not possible to take a distance examination. |
| 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
| Main link | Link to the Homepage |
| Only public learning materials are listed. | |
Groups
| 401-1652-10 U | Numerische Mathematik I | ||||||
| Registration for groups in myStudies is possible until 19.03.2021. | |||||||
| Groups | G-01 |
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| G-02 |
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| G-03 |
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| G-04 |
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| G-05 |
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| G-06 |
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| G-07 |
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| G-08 |
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Restrictions
| Groups | Restrictions are listed under Groups |
Offered in
| Programme | Section | Type | |
|---|---|---|---|
| Mathematics Bachelor | First Year Examination Block 2 | O |  |