## Mathematical Foundations

##### Announcements

*Till the end of the week, the results of the exam will be sent to the appropriate examination office (Prüfungsamt). We don't know how long it will take till your grades will be online.*- On 21 March 2016 between 2:00 p.m. and 3:30 p.m. there will be a post-exam review in room G03-214 on the main campus (Universitätsplatz).
- One can now download the sheet with typical exam problems discussed in class (Class 14 Review Problems). Included are also the solutions to the problems we didn't have time to discuss.
- The written exam at the end of the course will be based on the content discussed in the lectures up to and including the lecture on 15 January 2016. The corresponding topics can be found in the lecture notes up to and including Section 8.3. However, the complete content of the lecture notes, including that of the lecture 22 January 2016, will be relevant for the re-exam.
- At the moment we cannot tell when the credits-approval process is completed. We recommend to regularly check your LSF-account.

##### Schedule

Event |
Instructor |
Day/Time |
Location |

Lecture | Prof. Dr. Nill | Fri 11-13 | H91/001 |

Tutorial (English) | Hofscheier | Wed 9-11 | H91/001 |

Tutorial (German) | Hofscheier | Thu 9-11 | G23-K11 |

###### Remarks

- You can choose between the two tutorials. The Wednesday tutorial will be held in English while the one on Thursday will be in German.
- The "MatheSupport" is an additional offer by the Faculty of Mathematics for students from other faculties. The workshop is open Monday to Thursday 15:15-19:00 and takes place in building 02, room 106. From 15:15 to 16:45 particular topics will be discussed. Here is the list of topics (German only). From 17:00 to 19:00 you can ask questions on any topic and discuss problems with experienced math tutors.

##### Tutorials and homeworks

Each Friday (starting from 16 October) a new problem sheet is posted on this website. In the second half (45 min) of the tutorial during the following week a certain subset of the exercises will be solved together. The remaining exercises you have to solve by yourself. Your solutions to the whole problem sheet are due one week later. Please hand them in at the beginning of the tutorial. Then Razi Arshad will correct your solutions and in the tutorial one week after submission you get your corrected solutions back. The exercises which have not been solved together will then be discussed in the first half of the tutorial.

Attending the tutorials and solving the homework assignments is optional but strongly recommended as a necessary preparation for the final exam. Moreover, you can get up to 3 "bonus points" depending on how many of the homework assignments you solved correctly. If you pass the exam, these bonus points won't improve your grade. However, if you fail the exam, you may use the bonus points to improve the result of the exam from "fail" to "pass".

##### Topics

- Sets and functions
- Vectors and matrices
- Systems of linear equations
- Determinants
- Eigenvalues
- Complex numbers
- Derivatives
- Integrals
- Ordinary differential equations
- Derivatives of functions in several variables

##### Exams

The re-exam will take place on 01 April 2016 between 10:00 a.m. and 12:00 noon in G03-315 on the main campus (Universitätsplatz).

###### Remarks

- The written exam at the end of the course will be based on the lectures and the examples in the tutorials. You may use a sheet of paper containing handwritten notes. Size of that paper: DIN A4, double sided.
- Calculators (of all kinds) are not allowed and not required.
- Other books or notes or notebooks/laptops are not allowed.
- The maximum number of points is 50, and you will pass the exam if you get at least 20 points.
- If you solve the homework assignments successfully, you can get up to 3 "bonus points" in advance, depending on how many of the assignments you solved correctly. The "bonus points" only count if you achive less than 20 points in the exam.
- Some exams from previous years

##### Downloads

Document | Link |

Old lecture notes from previous years | |

Annotated notes from class | here |

Exercise sheets | here |

##### Literature

You can find contents of the course in many books on basics of higher mathematics, and (of different quality) even at some places on the web. For example, many articles in WIKIPEDIA are correct and include further references. Here are examples of books that are available in the library of OvGU.

- English
- "Mathematics for Physicists and Engineers: Fundamentals and Interactive Study Guide", Klaus Weltner, Wolfgang J. Weber, Jean Grosjean, Peter Schuster, Springer, 2009 [electronic ressource for OvGU members]

- German
- "Arbeitsbuch höhere Mathematik: Aufgaben mit vollständig durchgerechneten Lösungen", Georg Hoever, Springer, 2013 [electronic ressource for OvGU members]
- "Ingenieurmathematik für Studienanfänger: Formeln - Aufgaben - Lösungen", Gerald Hofmann, Springer, 2013 [electronic ressource for OvGU members]
- "Höhere Mathematik kompakt", Georg Hoever, Springer, 2013 [electronic ressource for OvGU members]
- "Mathematik für Ingenieure: Eine anschauliche Einführung in das praxisorientierte Studium", Thomas Rießinger, Springer Vieweg, 2013 [electronic ressource for OvGU members] & "Übungsaufgaben zu Mathematik für Ingenieure: Mit durchgerechneten und erklärten Lösungen", Thomas Rießinger, Springer Vieweg, 2013 [electronic ressource for OvGU members]
- "Mathematik für Ingenieure und Naturwissenschaftler: Lineare Algebra und Analysis in R", Wilhelm Merz, Peter Knabner, Springer, 2013 [electronic ressource for OvGU members]
- "Mathematik kompakt für Ingenieure und Informatiker", Yvonne Stry, Rainer Schwenkert, Springer 2013 [electronic ressource for OvGU members]