Laura Kobel-Keller: Catalogue data in Autumn Semester 2020

Name Dr. Laura Kobel-Keller
Address
Dep. Mathematik
ETH Zürich, HG F 28.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 89 40
E-maillaura.kobel-keller@math.ethz.ch
URLhttps://people.math.ethz.ch/~kellerla
DepartmentMathematics
RelationshipLecturer

NumberTitleECTSHoursLecturers
401-0271-00LMathematical Foundations I: Analysis A Restricted registration - show details 5 credits3V + 2UL. Kobel-Keller
AbstractIntroduction to calculus in one dimension. Building simple models and analysing them mathematically.
Functions of one variable: the notion of a function, of the derivative, the idea of a differential equation, complex numbers, Taylor polynomials and Taylor series. The integral of a function of one variable.
ObjectiveIntroduction to calculus in one dimension. Building simple models and analysing them mathematically.
ContentFunctions of one variable: the notion of a function, of the derivative, the idea of a differential equation, complex numbers, Taylor polynomials and Taylor series. The integral of a function of one variable.
LiteratureG. B. Thomas, M. D. Weir, J. Hass: Analysis 1, Lehr- und Übungsbuch, Pearson-Verlag
R. Sperb/M. Akveld: Analysis I (vdf)
L. Papula: Mathematik für Ingenieure und Naturwissenschaftler (3 Bände), Vieweg
further reading suggestions will be indicated during the lecture
401-0281-00LMathematics I Restricted registration - show details
Only for Human Medicine BSc.
4 credits3V + 1UL. Kobel-Keller
AbstractIntroduction of mathematics as the universal language for scientific facts:
The lecture aims on one hand at learning and exercising the mathematical trade and in the other hand at applying the learnt concept to medical, biological, chemical and mechanical problems.
ObjectiveSimple and complex facts can be described and analysed using mathematical tools.
Introduction to calculus in one dimension.
Used concepts: the notion of a function, of the derivative and the integral, the idea of a differential equation, complex numbers, Taylor polynomials and Taylor series.
Applications e.g. to prognoses, modeling action and dosage of drugs or tumor growth.
ContentFunctions of one variable: the notion of a function, of the derivative, the idea of a differential equation, complex numbers, Taylor polynomials and Taylor series. The integral of a function of one variable.
LiteratureG. B. Thomas, M. D. Weir, J. Hass: Analysis 1, Lehr- und Übungsbuch, Pearson-Verlag
further reading suggestions will be indicated during the lecture
401-3420-70LTopics in Harmonic Analysis Restricted registration - show details
Number of participants limited to 20
4 credits2SF. Da Lio, L. Kobel-Keller
AbstractThe aim of this seminar about harmonic analysis is to study the most important and most classical topics in that field, e.g. maximal functions, Marcinkiewicz interpolation, Fourier theory, distribution theory, singular integrals and Calderon-Zygmund theory.
After an introduction delivered by the two organisers, each week participants will give a seminar talk (usually in groups of two).
ObjectiveThe students will learn on one hand the most important concept in harmonic analysis and on the other hand improve their presentations skills (by delivering a seminar talk).
LiteratureThe main references are:
E. Stein: "Singular integrals and differentiability properties of functions "
E. Stein, G. Weiss: "Introduction to Fourier analysis on Euclidean spaces"
L. Grafakos: "Modern Fourier Analysis" & "Classical Fourier Analysis"
401-5350-00LAnalysis Seminar Information 0 credits1KM. Struwe, A. Carlotto, F. Da Lio, A. Figalli, N. Hungerbühler, M. Iacobelli, T. Ilmanen, L. Kobel-Keller, University lecturers
AbstractResearch colloquium
Objective