Mathematical Foundations
IMPORTANT FOR WINTER TERM 19/20:
IF YOU ARE INTERESTED IN TRANSFER OF CREDITS *DO NOT* EMAIL ME. CONTACT YOUR EXAM OFFICE.
IMPORTANT (OLD NOTES)
You can have a look again at your graded re-exam on May 6, 1pm-2pm, in G03-208.
ABOUT THE RETRY EXAM: Getting at least 40 of the maximal 100 exam points will be sufficient to pass the exam: The total that you can obtain in the retry exam is 80 points. Your total points (X) will be multiplied by 5/4 and this new number (5X/4) will then have to be at least 40 points to pass the retry exam.
The upcoming exams include material from exercises, homework, class notes, lecture notes until section 6.5 in the UPDATED lecture notes (last updated on January 30, 2019).
Please read *everything* below *carefully*.
Attention: Change of policy regarding the tutorial.
Announcement regarding request for approval of transfer of credits
If you would like to get the credits for this course because you already attended a similar and equivalent course before, then please fill out this form and give it to me together with the following:
- for every course/module: credit points, hours of classes per week, detailed content, your grade (official transcript)
- your email address (so I can let you know about my decision)
- your precise subject of study (e.g., Medical system engineering)
- the exam office (Prüfungsbüro) I have to send the form to.
The form is in German, please use e.g. google/bing translate. SWS means Semesterwochenstunden which is the number of hours of classes per week. You can list more than one course/module e.g. Prüfungsfach Mathematics (MATH I, MATH II, MATH III). Leave SWS/CP open. You can give the form and documentation to me in H91/001 right after the class.
I will only accept requests until the the last class before Christmas 2018.
Schedule
Event | Instructor | Day/Time | Location |
Lecture | Prof. Dr. Nill | Fri 13:30 (!) -15:00 | H91/001 |
Tutorial | Dr. Duarte | Wed 13-15 | H91/001 |
There will be 12 lectures on Friday: 12.10., 19.10., 26.10., 2.11., 9.11., 16.11., 23.11., 30.11. , 7.12., 14.12., 21.12., 11.01.
There will be 11 tutorials on Wednesday: 10.10., 17.10., 24.10., (Attention: 31.10. is a holiday), 7.11., 14.11., 21.11., 28.11., 5.12., 12.12., 19.12., 9.01.
Downloads
Document | Link |
Lectures notes and annotated class notes | here |
Exercise sheets | here |
Tutorials and homework assignments
Each week on Friday a new problem sheet is posted on this website. They contain many problems to work on and think about. Please hand your written solution to the marked homework assignments on sheet #n in at the beginning of the tutorial in week #n+2. Your graded solutions will be handed back to you in the tutorial one week after the submission (so week #n+3). There will be presumably 10 exercise sheets, 9 of them will have homework assignments to hand in.
You may work together: on each solution sheet there may be two names.
To get the credits for the tutorial you need to have handed in written homework for at least 6 exercise sheets (with a visible effort to solve at least one of the problems).
You can get at most 10 additional points on the exam depending on how many of the homework assignments you solved correctly.
If you do not successfully pass the tutorial, then passing the exam will only give you the credit points for the lecture (not the tutorial).
Remark
For additional help please check out the "MatheSupport" - an additional offer by the Faculty of Mathematics for students from other faculties.
Topics
- Sets and functions
- Vectors and matrices
- Systems of linear equations
- Determinants
- Eigenvalues
- Derivatives
- Integrals
- Derivatives of functions in several variables
- Ordinary differential equations
Exams
The exam will take place on February 15, 2019. The re-exam will be March 27, 2019.
- The written exam will be based on the lectures and the examples in the tutorials.
- You may only use a sheet of paper containing handwritten notes. Size of that paper: DIN A4, double sided.
- Getting at least 40 of the maximal 100 exam points will be sufficient to pass the exam.
- Calculators (of all kinds) are not allowed and not required.
- Other books or notes or notebooks/laptops or mobile phones are not allowed.
- Some exams from previous years can be found here.
Literature
You can find contents of the course in many books on basics of higher mathematics, and (of different quality) also at several places on the web. For example, many articles in WIKIPEDIA are correct and include further references. You probably also heard about Khan Academy. Here are some books on the topic of the course:
- English
- "Introduction to Mathematics for Life Scientists (Springer Study Edition)",Edward Batschelet, Springer, 1979 [unfortunately, not in the OvGU library]
- "Essential Mathematics for Economic Analysis" by Sydsaeter and Hammond [electronic ressource for OvGU members]
- "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]