What are the different branches of algebra

Everything you need to know about learning algebra!

"You wanted algebra, there you have the salad."

- Jules Verne

Anyone attending a secondary school in Germany will lose one of the basic areas of mathematics not around, no matter whether he is doing math in high school or not: the algebra!

Algebra remains a discipline that is useful not only for good math grades, but also for them Calculating unknowns in our everyday life. Even if the numbers pose a math problem for some students, algebra remains accessible to all through hard work.

Superprof tells you all about algebraic calculations!

The definition of algebra

Have you heard of algebra before without really knowing what it means? Superprof explains what this area of ​​mathematics is all about!

Algebra, which finds its etymology in Arabic, has been used by the world's greatest thinkers for centuries. Already in antiquity, especially in Egypt and the Middle East, people solved more or less complex problems to cope with certain everyday situations with algebraic formulas.

But it was not until the 17th century that algebra was no longer seen as an extension of arithmetic but as a discipline in its own right.

And only during the 20th century the term algebra took on its full meaning. From then on, mathematicians began to replace the usual numbers with unknowns. It was also at this time that the Linear Algebra , a branch of mathematics interested in vectors and linear transformations.

Today, algebra is considered to be the mathematical branch that poses a problem precise letter solvesto generalize math results.

Why don't you discover the history of mathematics with us in order to better understand the interest in algebraic computation, but also in trigonometry, algorithms or trigonometric functions.

Then you surely understand what a linear function is!

The basic rules of algebra

You don't have to be a great mathematician like Euclid to understand the basics of algebra: these are easy to understand and internalize with little practice!

Algebraic computation differs from arithmetic in that it uses letters to express numbers, whose value is unknown. The use of these letters sometimes makes the exercise seem much more complicated than it really is; in reality, algebra is there to make the work of beginners or advanced mathematicians easier. l

In order to successfully complete the math exercises, learning the basic rules of algebra is a must:

  • The addition, with natural, whole and complex numbers
  • The subtraction
  • Multiplication with natural numbers and variables
  • The Euclidean Division
  • Simplify, exclude, or rearrange terms
  • Other types of calculation such as polynomials, matrices or vectors

As a future mathematician, there is one important rule of priority, which you absolutely have to remember for the solution of an algebraic problem: Brackets always have priority over all other calculations. If parentheses appear in a mathematical formula, then the operations within the parentheses must always be carried out before those outside the parentheses.

If and only if the student obeys all these rules, he can solve the most complex problems in mathematics!

How can you be good at algebra?

The algebraic calculation, like every mathematical branch, is based on the Logic and personal commitment the student: if you study hard, you will quickly make progress in the area of ​​differential calculus, the exponential function or the logarithm function.!

The Decomposition of a mathematical function in their components remains one of the priorities in solving an algebraic calculation. If you take the time to identify the individual elements and pay attention to the order in which they are calculated, you can demonstrate all of your knowledge.

Here are some additional tips to be successful in algebra:

  • Familiarize yourself with fractions, fractional numbers, and decimals
  • Practice with math problems, but also with everyday problems
  • Remember the rules and degrees of the polynomials (adding, subtracting, multiplying or dividing)
  • Remember the rules about squares and roots
  • Discover the elementary geometry and the calculus of probability
  • Learns matrices and second degree equations

If you have mastered all of these areas of math, then no algebra task should cause you problems.

Always remember that mathematics, like any science, modern language or literature, is not an innate knowledge. There are no special dispositionTo be successful in algebra: Any student can learn to solve more or less complex algebraic problems with a minimum of motivation.

Finally, you should also know that algebra is an essential prerequisite for access to many renowned professions, such as biostatistician, astronomer, engineer or mathematics researcher. Dealing with algebra can therefore be a Be a bet on the futureas there are many options in this area.

So get out your maths and do the algebra again.

At the same time, you can grapple with the rules for mental arithmetic again.

Where can you learn linear algebra?

Dot product, quantum mathematics or differential calculus, discover how you can use certain structures to improve your mathematical skills!

The basics of algebra are part of an indispensable discipline for all great mathematicians: therefore it will not be difficult to find a teacher who fits your profile.

Of course, the easiest way to learn the basics of linear algebra is to learn it directly at school. In most schools in Germany it says Algebra in the 7th grade in the curriculum. But it is difficult to become a real expert in the field just with school lessons.

There are many opportunities, additional courses in algebra to prove:

  • Find a private tutor for algebra and math through tutoring agencies
  • Find a private math tutor on online platforms
  • Find a private tutor in algebra through classified ads in the newspaper
  • Keep an eye out on the bulletin board at school or university
  • Join a study group specializing in algebra

Especially with the complicated topics of mathematics, which you will certainly find in the algebra course, it is important to rely on mutual help to be able to. Students with difficulty in algebra can reach out to their classmates to sharpen their reasoning through discussion.

And if you as a student work on the assignments regularly, you will make progress quickly.

The benefits of having a private math teacher are that they can take the time to analyze their student's skills and difficulties in algebra while regularly reviewing their progress so far.

On Superprof, the average cost for one hour of algebra lessons 15 € for intensive training adapted to the pace and level of the students.

And a large number of our teachers offer the first lesson free of charge: why don't you test algebra lessons with Superprof? You have the choice between tutoring on site and tutoring math online via webcam.

How do you learn algebra on your own?

Would you like to improve your skills and knowledge of algebra on your own? Superprof explains to you how you can do that.

In the age of the Internet, there are many opportunities today to improve in a scientific subject without necessarily consulting a qualified and experienced algebra teacher. Whether on the computer, tablet or smartphone, math exercises are available for all students free of charge.

A small List of methods to learn algebra online:

  • Online math courses
  • Online exercises in algebra
  • Math textbooks
  • Algebra and math apps
  • Mathematics instructional videos
  • Podcasts from university algebra lectures

Before you move on to digital tools, you should understand the basics. The methods mentioned are particularly useful for deepening the topic.

So don't put it off and always do the homework or exercises at home the same evening because that The learned then still fresh in the head is; If you have any questions or problems, you can then consult your private teacher or the Internet.

The various math apps are particularly suitable for young algebra students to practice algebra as well as the Pythagorean theorem, the tangent and the discussion of curves. Math apps such as Photomath, MATH 42 or MassMatics help you to achieve success quickly.

Our last tip is imperative: you can't improve your algebra skills if you don't strong commitment shows. You should practice daily or at least several times a week to learn algebra.

So what are you waiting for to become a true algebra professional with our advice?

Looking for a math teacher?


Passionate globetrotter, cook and bon vivant.