Further Mathematics

The name comes from the Higher Mathematics parlance of the universities on the one hand and understood as a complement to the elementary mathematics of the middle -chance education, on the other hand to university mathematics.

It includes ( but is not sharply defined ) those branches of mathematics that are taught as a mathematical basis in the natural sciences and engineering disciplines of the universities, but only summarily as in secondary schools.

In contrast to the deeper content of the mathematics study and mathematical research here is the emphasis on the more practical terms. However, the extent and degree of abstraction vary between universities.

Importance

The Higher Mathematics is considered the " language" of the special sciences to describe the laws of nature processes in the environment and as an excellent means to train the exact thinking.

Therefore, it is in higher education programs traditionally at the beginning of the curriculum - in particular higher education programs different parts will be omitted or offered as a subsequent depression.

Structure

Which branches of mathematics are part of the general university programs, is regionally and also as a result of scientific development differently. For example, about 1980 divided the Vieweg manual " Higher Mathematics" as follows:

• Analytic geometry in the plane and in space
• Basic concepts of mathematical analysis
• Differential calculus and integral calculus
• Plane and spatial curves
• Infinite series
• Differential and integral calculus for functions of several variables
• Differential equations
• Function theory
• Parts of functional analysis such as Fourier analysis
• Vector Analysis

Today this would in general chapter on linear algebra (vectors and matrices), basic methods of numerical analysis, knowledge of descriptive and inductive statistics, and possibly an introduction to computer algebra systems.