# 401-0622-00L  Mathematical Foundations II: Linear Algebra and Statistics

 Semester Spring Semester 2021 Lecturers M. Auer Periodicity yearly recurring course Language of instruction German

### Courses

NumberTitleHoursLecturers
401-0622-00 VGrundlagen der Mathematik II (Lineare Algebra und Statistik)2 hrs
 Wed 07:45-09:30 HCI G 3 »
M. Auer
401-0622-00 UGrundlagen der Mathematik II (Lineare Algebra und Statistik)
Groups are selected in myStudies.
Mo 16-17 oder Mo 17-18 (und umgekehrt für die Übungen 401-0272-00 U) gemäss Gruppeneinteilung für Studiengang Interdisziplinäre Naturwissenschaften.
Do 10-11 oder Do 11-12 (entsprechend gekoppelt mit den Übungen 401-0272-00 U) gemäss Gruppeneinteilung für Studiengänge Chemie bzw. Chemieingenieurwissenschaften.
1 hrs
 Mon 16:15-17:00 LFW C 4 » 17:15-18:00 LFW C 4 » 17:15-18:00 ML H 44 » Thu 09:45-10:30 HIL D 10.2 » 09:45-10:30 HIL F 10.3 » 10:45-11:30 HIL D 10.2 » 10:45-11:30 HIL F 10.3 »
M. Auer

### Catalogue data

 Abstract Systems of linear equations; matrix algebra, determinants; vector spaces, norms and scalar products; linear maps, basis transformations; eigenvalues and eigenvectors.Random variables and probability, discrete and continuous distribution models; expectation, variance, central limit theorem, parameter estimation; statistical hypothesis tests; confidence intervals; regression analysis. Learning objective A sound knowledge of mathematics is an essential prerequisite for a quantitative and computer-based approach to natural sciences. In an intensive two-semester course the most important basic concepts of mathematics, namely univariate and multivariate calculus, linear algebra and statistics are taught. Content Systems of linear equations; matrix algebra, determinants; vector spaces, norms and scalar products; linear maps, basis transformations; eigenvalues and eigenvectors. - Least squares fitting and regression models; random variables, statistical properties of least-squares estimators; tests, confidence and prediction intervals in regression models; residual analysis.Lecture homepage: https://moodle-app2.let.ethz.ch/course/view.php?id=11841 Lecture notes For the part on Linear Algebra, there is a short script (in German) which summarizes the main concepts and results without examples. For a self-contained presentation, the book by Nipp and Stoffer should be used. For the part on Statistics there is a detailed script (in German) available which should be self-contained. The book by Stahel can be used for additional information. Literature Linear Algebra: K. Nipp/D. Stoffer: "Lineare Algebra", vdf, 5th edition, 2002.Statistics: W. Stahel, "Statistische Datenanalyse", Vieweg, 5rd edition, 2008.

### 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 Chemical Engineering 2006; Version 27.03.2018 (Examination Block)Bachelor's Degree Programme in Chemical Engineering 2018; Version 26.09.2022 (Examination Block)Bachelor's Degree Programme in Chemistry 2005; Version 27.03.2018 (Examination Block)Bachelor's Degree Programme in Chemistry 2018; Version 26.09.2022 (Examination Block)Bachelor's Degree Programme in Interdisciplinary Sciences 2010; Version 27.03.2018 (Examination Block)Bachelor's Degree Programme in Interdisciplinary Sciences 2018; Version 12.07.2022 (Examination Block) ECTS credits 3 credits Examiners M. Auer 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 90 minutes Written aids Beliebige schriftliche Hilfsmittel, jedoch kein Taschenrechner. 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

401-0622-00 UGrundlagen der Mathematik II (Lineare Algebra und Statistik)
GroupsG-fiktiv
G-01A
 Mon 16:15-17:00 LFW C 4 »
 only for Interdisciplinary Sciences (Biochem. Phys.) BSc (531100)
G-01B
 Mon 17:15-18:00 LFW C 4 »
 only for Interdisciplinary Sciences (Biochem. Phys.) BSc (531100)
G-02
 Mon 17:15-18:00 ML H 44 »
 only for Interdisciplinary Sciences (Biochem. Phys.) BSc (531100)
G-03A
 Thu 10:45-11:30 HIL F 10.3 »
 not for Interdisciplinary Sciences (Biochem. Phys.) BSc (531100)
G-03B
 Thu 09:45-10:30 HIL F 10.3 »
 not for Interdisciplinary Sciences (Biochem. Phys.) BSc (531100)
G-04A
 Thu 10:45-11:30 HIL D 10.2 »
 not for Interdisciplinary Sciences (Biochem. Phys.) BSc (531100)
G-04B
 Thu 09:45-10:30 HIL D 10.2 »
 not for Interdisciplinary Sciences (Biochem. Phys.) BSc (531100)

### Restrictions

 Groups Restrictions are listed under Groups

### Offered in

ProgrammeSectionType
Chemistry BachelorCompulsory Subjects First Year ExaminationO
Chemical Engineering BachelorCompulsory Subjects First Year ExaminationsO
Interdisciplinary Sciences BachelorCompulsory Subjects First Year ExaminationsO