Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations,
namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)
/(x – 1) = 12. An important special case of such equations is that of polynomial equations, expressions of the form axn + bxn − 1 + … + gx + h = k. They have as many solutions as their degree (n), and the search for their solutions stimulated much of the development of classical and
modern algebra. Equations like x sin (x) = c that involve nonalgebraic operations, such as logarithms or trigonometric functions, are said
to be transcendental.The solution of an algebraic equation is the process of finding a number or set of numbers that, if substituted for the variables in the equation, reduce it to an identity. Such a number is called a root of the equation. See also Diophantine equation; linear equation; quadratic equation.
The word Calculus comes from Latin meaning "small stone",Because it is like understanding something by looking at small pieces.Differential Calculus cuts something into small pieces to find how it changes.Integral Calculus joins (integrates) the small pieces together to find how much there is.The four main concepts covered under calculus are as given ,Limits,Differential Calculus,Integral Calculus,Multivariable Calculus
Geometry is the branch of mathematics that deals with shapes, angles, dimensions and sizes of a variety of things we see in everyday life. Geometry is derived from Ancient Greek words – ‘Geo’ means ‘Earth’ and ‘metron’ means ‘measurement’. In Euclidean geometry, there are two-dimensional shapes and three-dimensional shapes. In a plane geometry, 2d shapes such as triangles, squares, rectangles, circles are also called flat shapes. In solid geometry, 3d shapes such as a cube, cuboid, cone, etc. are also called solids. The basic geometry is based on points, lines and planes explained in coordinate geometry. The different types of shapes in geometry help us to understand the shapes day to day life. With the help of geometric concepts, we can calculate the area ,perimeter and volume of shape
