basic

Real Numbers

Real numbers are simply the combination of rational and irrational numbers, in the number system. In general, all…

Graphing of Linear Equations

Linear equations, also known as first-order degree equations, where the highest power of the variable is one. When…

Linear Equation in One Variable

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where…

Linear Equations Formula

A linear equation looks like any other equation. It is made up of two expressions set equal to…

Typical Single Variable Equations on the ACT

Single variable equations will fall into two broad categories on the ACT–given equations and word problems. Let’s look…

Single Variable Equations in Algebra

Single variable equations are some of the most common types of problems on the ACT math section. You…

The Equation of the line tangent to the given curve at the given point

Functional dependence; conformal mapping

We start once more with a differentiable transformation, defined in some domain D. In the previous section we concentrated…

Functional dependence between two variables

Two variables x and y are tied by a  functional dependence, if for each value of one of them it is possible…

Mean value theorem

Formal statement Proof Cauchy’s mean value theorem Proof of Cauchy’s mean value theorem Generalization for determinants