Search result: Catalogue data in Autumn Semester 2017
Mathematics Bachelor | ||||||
First Year Compulsory Courses | ||||||
First Year Examination Block 1 | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
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401-1151-00L | Linear Algebra I | O | 7 credits | 4V + 2U | M. Akveld | |
Abstract | Introduction to the theory of vector spaces for mathematicians and physicists: Basics, vector spaces, linear transformations, solutions of systems of equations and matrices, determinants, endomorphisms, eigenvalues and eigenvectors. | |||||
Objective | - Mastering basic concepts of Linear Algebra - Introduction to mathematical methods | |||||
Content | - Basics - Vectorspaces and linear maps - Systems of linear equations and matrices - Determinants - Endomorphisms and eigenvalues | |||||
Literature | - H. Schichl and R. Steinbauer: Einführung in das mathematische Arbeiten. Springer-Verlag 2012. Link: Link - G. Fischer: Lineare Algebra. Springer-Verlag 2014. Link: Link - K. Jänich: Lineare Algebra. Springer-Verlag 2004. Link: Link - S. H. Friedberg, A. J. Insel and L. E. Spence: Linear Algebra. Pearson 2003. Link - R. Pink: Lineare Algebra I und II. Lecture notes. Link: Link | |||||
402-1701-00L | Physics I | O | 7 credits | 4V + 2U | A. Wallraff | |
Abstract | This course gives a first introduction to Physics with an emphasis on classical mechanics. | |||||
Objective | Acquire knowledge of the basic principles regarding the physics of classical mechanics. Skills in solving physics problems. | |||||
252-0847-00L | Computer Science | O | 5 credits | 2V + 2U | B. Gärtner | |
Abstract | This lecture is an introduction to programming based on the language C++. We cover fundamental types, control statements, functions, arrays, and classes. The concepts will be motivated and illustrated through algorithms and applications. | |||||
Objective | The goal of this lecture is an algorithmically oriented introduction to programming. | |||||
Content | This lecture is an introduction to programming based on the language C++. We cover fundamental types, control statements, functions, arrays, and classes. The concepts will be motivated and illustrated through algorithms and applications. | |||||
Lecture notes | Lecture notes in English and Handouts in German will be distributed electronically along with the course. | |||||
Literature | Andrew Koenig and Barbara E. Moo: Accelerated C++, Addison-Wesley, 2000. Stanley B. Lippman: C++ Primer, 3. Auflage, Addison-Wesley, 1998. Bjarne Stroustrup: The C++ Programming Language, 3. Auflage, Addison-Wesley, 1997. Doina Logofatu: Algorithmen und Problemlösungen mit C++, Vieweg, 2006. Walter Savitch: Problem Solving with C++, Eighth Edition, Pearson, 2012 | |||||
First Year Examination Block 2 | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
401-1261-07L | Analysis I | O | 10 credits | 6V + 3U | M. Einsiedler | |
Abstract | Introduction to the differential and integral calculus in one real variable: fundaments of mathematical thinking, numbers, sequences, basic point set topology, continuity, differentiable functions, ordinary differential equations, Riemann integration. | |||||
Objective | The ability to work with the basics of calculus in a mathematically rigorous way. | |||||
Literature | H. Amann, J. Escher: Analysis I Link J. Appell: Analysis in Beispielen und Gegenbeispielen Link R. Courant: Vorlesungen über Differential- und Integralrechnung Link O. Forster: Analysis 1 Link H. Heuser: Lehrbuch der Analysis Link K. Königsberger: Analysis 1 Link W. Walter: Analysis 1 Link V. Zorich: Mathematical Analysis I (englisch) Link A. Beutelspacher: "Das ist o.B.d.A. trivial" Link H. Schichl, R. Steinbauer: Einführung in das mathematische Arbeiten Link |
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