### Partial Differential Equations (Winter Semester 2011/12)

- Lecturer: Dr. Kaori Nagato-Plum
- Classes: Lecture (0104600), Problem class (0104700)
- Weekly hours: 4+2

# Exam results

The exam results are hanging on the blue notice board between 3A-26.1 and 3A-26.2.

The post-exam review is on March, 12th, 13:00-14:00 in room 1C-03.

The second (repetition) exam is on April, 13th, 13:00-14:00. Room: 1C-03.

# Written Exam

The written exam will take place on

**Thursday, 16 February 2012, 11:15 am, Hertz-Hörsaal.**

# Registration for the exam

Binding registration for the exam can be made at

**Allianz-Building, 3A-26.1, Frau Ewald**

**Until 13 February!**

THE LECTURE ROOM ON TUESDAY WAS CHANGED TO "HS 93 (building 10.81)".

The lectures on 28th November and on 29th November are shifted to

16th November (17:30--19:00, Nusselt HS (10.23))

and

17th November (17:30--19:00, Kl. HS (10.50)).

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The lecture is the same as the lecture "Klassische Methoden fuer partielle Differentialgleichungen" in the Studienplan for the bachelor degree.

The lectures and exercise lessons will be given in English.

Schedule | |||
---|---|---|---|

Lecture: | Monday 8:00-9:30 | Bauingenieure, Kleiner Hörsaal | Begin: 17.10.2011 |

Tuesday 11:30-13:00 | Engesser-Hörsaal (HS 93) | ||

Problem class: | Monday 15:45-17:15 | Hertz-Hörsaal | Begin: 17.10.2011 |

Lecturers | ||
---|---|---|

Lecturer | Dr. Kaori Nagato-Plum | |

Office hours: | ||

Room 2.029 Kollegiengebäude Mathematik (20.30) | ||

Email: kaori.nagatou@kit.edu | ||

Problem classes | Dr. Maria Radosz | |

Office hours: Mi 14:30 - 15:30 und nach Vereinbarung | ||

Room 3A-11.2 Allianz-Gebäude (05.20) | ||

Email: radosz@math.uni-karlsruhe.de |

A differential equation is a relation between an unknown function (to be determined) and its derivatives. While for *ordinary* differential equations the unknown function depends on a *single* independent variable, it depends on *several* variables for *partial* differential equations.

A huge variety of processes in science and technology is described by partial differential equations, which therefore belong to the most important objects of investigation in Applied Mathematics.

The number of phenomena occurring in the context of partial differential equations, and the number of methods and techniques to investigate them, is by far too complex to be the content of a one semster course. The lecture course can therefore only be of an introductory type. Topics to be treated are e.g. the classical wave-, Poisson-, and heat equation, maximum principles, separation of variables, classification of quasilinear second-order equations. Strong emphasis will be put on many examples from physics and engineering.

The lecture course addresses students in their fifth semester (third year) or higher, with substantial knowledge in analysis (Analysis I-III) and linear algebra (Linear Algebra I-II). It is suitable for students of mathematics, and for students of other subjects who have strong mathematical interests.

As already mentioned, this lecture course can cover only a small portion of the overall topic of partial differential equations. Deeper knowledge can be acquired in further subsequent courses.

# Examination

Written examination on Thursday, 16. February 2012,

time: 11:15-12:15

room: Hertz-Hörsaal

# References

- R. Courant and D. Hilbert, Methods of Mathematical Physics, Volume I and II, Wiley Classics ed., 1989.
- L. C. Evans, Partial Differential Equations (Second Edition), American Mathematical Society, 2010.
- D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order (Second Edition), Springer, 1998.