On October 15, 2025, the OMB+ was updated.

The Cosh committee has added the topic of stochastics to the catalog of minimum requirements
(cf. recommendations of the COSH group).

Accordingly, Chapters IX and X have been revised and merged into the new Chapter IX (Vector Geometry).
The content of Chapter XIII (Supplementary Module Stochastics) has been condensed and expanded with an introduction to data representation. This forms the new Chapter X (Stochastics).
Chapter XIII (Supplementary Module Stochastics) will be replaced at a later date by a revised version.

If you had not downloaded the certificate by October 15, you must complete the new Chapters IX and X in order to receive a certificate.

Online Mathematics Bridging Course OMB+

„My time in school is a few years back. Before entering a physics study this was perfect to restore my math skills. Thanks and keep it up! “ (Philip)

„The course is really super. It prepares us in my opinion very well and I feel much safer. Thank you for your effort and that one has always reached someone.“ (Rebecca)

„ Thanks for this great preparatory course! The course is very vivid, almost entertaining (diagrams, videos, ...). Thank you, you made it that I really enjoy math!! “ (Nadine)

„Overall, I find the course very pleasantly designed, almost everything was understandable on the first or second glance and the speedy help from the tutors has covered the rest properly.“ (Timo)

Want to prepare yourself for a degree in engineering, economics, science or computer science? The online course OMB+ is made for just that. You will be able to get assistance in our mathematics call center using chat or the forum. The course helps you to refresh your high school mathematics knowledge so that you can easily follow freshmen German university courses.

What is this about?

ⅠA Elementary Calculus: Sets and Numbers

ⅠB Elementary Calculus: Proportionality, Percentage

Ⅱ Equations in One Unknown

Ⅲ Inequalities in One Variable

Ⅳ Linear Systems of Equations

Ⅴ Geometry

Ⅵ Elementary Functions

Ⅶ Differential Calculus

Ⅷ Integral Calculus

Ⅸ Vector Geometry

Ⅹ Stochastics

Ⅺ Complex Numbers (Additional Module)

Ⅻ Logic and Sets (Additional Module)

ⅩⅢ Stochastics (Additional Module)

How is the course structured?

The main part of the course is topically divided into 11 chapters, contentwise based on
the recommendations of the COSH group , and additional modules exceeding those recommandations. Each chapter or additional module begins with an overview of its sections. A section consists of four components:

Expository texts with built-in videos, explanations, examples, and quick checks of understanding: All important concepts are briefly explained in full.
Exercises − This is how it's done: In sample problems the usual solution methods are shown in full.
Training − Learning by doing: Here you can practice until you feel confident.
Quiz − Understood everything?: This is where your understanding of the content is checked.

Each chapter or additional module has a final exam which checks your understanding of the content and concepts of its sections.

Certificate

You will get a certificate for the successful completion of the course if you have achieved at least 80% of the maximum score in each final exams of all 11 chapters of the main course part. The certificate is recognized at some universities as course achievement.

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.