algebra
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algebra
A branch of mathematics that deals with arithmetic operations, variables, and the relationships between them in equations.
In der achten Klasse lernen die Schüler die Grundlagen der Algebra.
In eighth grade, students learn the basics of algebra.
As a school subject or academic field, 'Algebra' (algebra) is often combined with verbs of learning and teaching. Typical phrases are 'Algebra lernen' (to learn algebra), 'Algebra unterrichten' (to teach algebra), or 'sich mit Algebra befassen' (to deal with/study algebra).
Im Mathematikstudium befassen sich die Studierenden intensiv mit Algebra.
In mathematics degree programs, students study algebra intensively.
The word 'Algebra' (algebra) is usually used in the context of education. People speak of 'Algebra in der Schule' (algebra in school) or of specific subfields in university studies, such as 'lineare Algebra' (linear algebra).
Die lineare Algebra ist ein wichtiger Teil des Ingenieurstudiums.
Linear algebra is an important part of engineering studies.
When you want to express that something applies or is done within this mathematical field, you use the preposition 'in'. For example, you solve a problem 'in der Algebra' (in algebra).
In der Algebra arbeitet man oft mit Variablen wie x und y.
In algebra, people often work with variables like x and y.
mathematics
'die Mathematik' and 'die Algebra' are closely related, but they do not mean the same thing. 'Mathematik' is the broad field: it includes numbers, figures, sets, structures, and many other topics. 'Algebra' is only one part of mathematics. It is especially appropriate when talking about equations, variables, and calculation rules. Learners may confuse the words because algebra often appears in math class. If you are speaking generally about the subject or the science, 'Mathematik' is correct. If you are speaking specifically about equations with letters, 'Algebra' is more precise.
In der Algebra rechnet Moritz heute mit x und y.
In algebra, Moritz is working with x and y today.
Meine Schwester interessiert sich für Mathematik, weil sie gern logische Probleme löst.
My sister is interested in mathematics because she likes solving logical problems.