Search result: Catalogue data in Spring Semester 2020

Mathematics Bachelor Information
First Year Compulsory Courses
First Year Examination Block 1
Offered in the Autumn Semester
First Year Examination Block 2
NumberTitleTypeECTSHoursLecturers
401-1262-07LAnalysis II Information O10 credits6V + 3UP. S. Jossen
AbstractIntroduction to differential and integral calculus in several real variables, vector calculus: differential, partial derivative, implicit functions, inverse function theorem, minima with constraints; Riemann integral, vector fields, differential forms, path integrals, surface integrals, divergence theorem, Stokes' theorem.
Objective
ContentCalculus in several variables; curves and surfaces in R^n; extrema with constraints; integration in n dimensions; vector calculus.
LiteratureH. Amann, J. Escher: Analysis II
https://link.springer.com/book/10.1007/3-7643-7402-0

J. Appell: Analysis in Beispielen und Gegenbeispielen
https://link.springer.com/book/10.1007/978-3-540-88903-8

R. Courant: Vorlesungen über Differential- und Integralrechnung
https://link.springer.com/book/10.1007/978-3-642-61973-1

O. Forster: Analysis 2
https://link.springer.com/book/10.1007/978-3-658-02357-7

H. Heuser: Lehrbuch der Analysis
https://link.springer.com/book/10.1007/978-3-322-96826-5

K. Königsberger: Analysis 2
https://link.springer.com/book/10.1007/3-540-35077-2

W. Walter: Analysis 2
https://link.springer.com/book/10.1007/978-3-642-97614-8

V. Zorich: Mathematical Analysis II (englisch)
https://link.springer.com/book/10.1007/978-3-662-48993-2
401-1152-02LLinear Algebra II Information Restricted registration - show details O7 credits4V + 2UT. H. Willwacher
AbstractEigenvalues and eigenvectors, Jordan normal form, bilinear forms, euclidean and unitary vector spaces, selected applications.
ObjectiveBasic knowledge of the fundamentals of linear algebra.
LiteratureSiehe Lineare Algebra I
Prerequisites / NoticeLinear Algebra I
401-1652-10LNumerical Analysis I Information Restricted registration - show details O6 credits3V + 2UC. Schwab
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.
402-1782-00LPhysics II
Accompanying the lecture course "Physics II", among GESS Science in Perspective is offered: 851-0147-01L Philosophical Reflections on Physics II
O7 credits4V + 2UR. Wallny
AbstractIntroduction to theory of waves, electricity and magnetism. This is the continuation of Physics I which introduced the fundamentals of mechanics.
Objectivebasic knowledge of mechanics and electricity and magnetism as well as the capability to solve physics problems related to these subjects.
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