OMB+

Authors

The concept and contents of the OMB+ are jointly developed by a consortium of German universities with the participation of integral-learning GmbH.

It is under the direction of

Volker Bach (TU Braunschweig, professional management) and

Aloys Krieg (RWTH Aachen, administrative management).

The authors currently involved are

Université de Toulon: Daniel Gandolfo

TU Braunschweig: Volker Bach, Franz Konieczny

BU Wuppertal: Margareta Heilman

Univ. Hamburg: Ingenuin Gasser, Alexander Lohse

HCU Hamburg: Helena Barbas, Tom Schramm

FH Aachen: Ivonne Albrecht, Georg Hoever, Andreas Maurischat

RWTH Aachen: Kathrin Maurischat

TH Köln: Katharina Hammersen, Heiko Knospe, Andreas Schwenk

Univ. Bremen: Annette Ladstätter-Weißenmayer

HS Ruhr-West: Andrea Ostendorf, Barbara Guyet

integral-learning GmbH: Volker Enß, Andreas Maurischat, Ruedi Seiler,

Former authors

Tobias Baust (HS Ruhr-West), Michael Brünnig (BU Wuppertal), Florian Buchholz (HS Bremen), Jörg Buchholz (HS Bremen), Erhard Cramer (RWTH Aachen), Udo Kamps (RWTH Aachen), Akiko Kato (HS Ruhr-West), Philipp Kunde (Uni Hamburg), Svetlana Markova (FH Dortmund), Günter Baszenski, (FH Dortmund), Robert Martin (Uni Duisburg-Essen), Lars Menrath (TU Braunschweig), Patrizio Neff (Uni Duisburg-Essen), Frank Osterbrink (Uni Duisburg-Essen), Leonie Ruderer (TU Kaiserslautern), Christian Seifert (TU Hamburg-Harburg), Ilya Sharankou (Uni Hamburg), Rudolf Stens (RWTH Aachen), Olav Wilde (HCU Hamburg), Yahya Yardim (Uni Hamburg), Wolfgang Zacharias (FH Dortmund), Evelyn Schirmer (HS Ruhr-West)

How to type mathematics in the course?

The following mathematical operators can be used to create expressions:

Operator	Example	Result
Addition	2+3	$2 + 3$
Subtraction	2-3	$2 - 3$
Multiplication	2*3	$2 \cdot 3$
Division	2/3x+1, 2/(3x+1)	$\frac{2}{3 x} + 1$ , $\frac{2}{3 x + 1}$
Powers	2^3, 2^(-3), (2^3)^4	$2^{3}$ , $2^{- 3}$ , $(2^{3})^{4}$
Roots	sqrt(4), cbrt(9)	$\sqrt{4}$ , $\sqrt[3]{9}$
Functions	exp(3x), e^(3x)	$\exp (3 x)$ , $e^{3 x}$
	log(2), ln(e), log_5(25)	$\log (2)$ , $\ln (e)$ , $\log_{5} 25$
	sin(2pi), cos(2pi), tan(2*pi)	$\sin (2 π)$ , $\cos (2 π)$ , $\tan (2 π)$
	arcsin(pi), arccos(pi), arctan(pi)	$\arcsin (π)$ , $\arccos (π)$ , $\arctan (π)$
Infinity	-infty, infinity, +unendlich	$- \infty$ , $\infty$ , $+ \infty$

Operator

Example

Result

Addition

2+3

2 + 3

Subtraction

2-3

2 - 3

Multiplication

2*3

2 \cdot 3

Division

2/3x+1, 2/(3x+1)

\frac{2}{3 x} + 1

\frac{2}{3 x + 1}

Powers

2^3, 2^(-3), (2^3)^4

2^{3}

2^{- 3}

(2^{3})^{4}

Roots

sqrt(4), cbrt(9)

\sqrt{4}

\sqrt[3]{9}

Functions

exp(3x), e^(3x)

\exp (3 x)

e^{3 x}

log(2), ln(e), log_5(25)

\log (2)

\ln (e)

\log_{5} 25

sin(2*pi), cos(2*pi), tan(2*pi)

\sin (2 π)

\cos (2 π)

\tan (2 π)

arcsin(pi), arccos(pi), arctan(pi)

\arcsin (π)

\arccos (π)

\arctan (π)

Infinity

-infty, infinity, +unendlich

- \infty

\infty

+ \infty

In the OMB+ Chat and Forum you can also write mathematical expressions nicely, but they have to be wrapped in backticks. Both the Chat and Forum provide a button to insert these automatically.
Example: ` 1/sin(x) ` becomes `1/sin(x)`

Mathematics Call Center

Daily from 10:00 AM to 8:00 PM - including weekends.

+49 30 5771 4045

If you have any questions regarding the course, need help solving a particular problem or would like more information regarding certain mathematical concepts, then we (the tutors) are happy to help.

Work on the course regularly for one long, continuous period of time . For example, four hours a day, from Monday to Friday, over the course of three weeks.

Try not using a calculator. This way you will benefit more from the course. For the goals of this course try only using them only in exceptional cases, for example for calculating $\sin (10)$ or $\log (3)$ .

Even though the course can be worked on from a mobile device, to work on it comfortably we recommend to use a laptop or desktop computer

We recommend that you work through the course in the following fashion:

Begin with Chapter I "Elementary Calculus" and work through the chapters in the given order (I, II, … ,X), as subsequent chapters may require knowledge from previous chapters.

Working on a chapter

A chapter consists of multiple sections and each section contains

an article,
practise exercises,
traning exercises and
a quiz.

For each section, you start working through the article so that you become familiar with all terms and concepts corresponding to the topic. Articles will come with visualizations, videos and quick-checks in order to help you understand the content better.

Once you are comfortable with all the terms and concepts from the article, you can do the practise exercises, strengthen your knowledge with the training exercises and finally test your knowledge in the quiz.

After successfully completing the quiz you continue to the next section.

When you are stuck at finding the solution of a problem

First, try solving the solution yourself. If you succeed in this, the learning effect will be greater. To try this, first formulate the problem in your own words and then ask the following questions:
1. "Have I seen a similar problem before?"
2. "Can I solve a simpler version of the problem, or is there a special case that I can solve?"
3. "Can I break down the problem into smaller parts and solve those parts?"
4. "Have I thought about everything and used all the information given to me in the problem statement?"
5. "What could the solution look like?"
If these questions still have not helped, you can contact our call center. Our tutors are happy to help you out.

You should only do the final exam of a chapter when you have understood the corresponding content. After successfully completing the final exam you can go to the next chapter.