Sample Article Review On Math Introduction

1. Introduction. Digital signal processing is a very mathematical subject so main mathematical ideas should be outlined to ensure a successful learning.
2. Algebra. Algebra is a systematic notation of quantitative relationship between expressions divided (or joint) by the sign ‘=’ and the collection of rules to manipulate such expressions and values (variables) they contain.
3. Functions, Numbers, and Graphs. Functions are used to denote relations (dependencies) between variables: if one variable depends on another, then the latter variable is called the independent variable, while the former is called the value of the function. If we use the horizontal axis of the plane to denote values of the independent variable and the vertical axis to denote values of a function, then points with corresponding planar coordinates form the graph of that function.
4. Polynomials and Roots. Polynomials are functions consisting of special kinds of summands: each summand is a product of a constant number and a (nonnegative integer) power of the independent variable. If a value of the independent variable is such that a polynomial vanishes at that point, then that value is called a root of the polynomial.
5. Exponents, Logarithms, and the Number e. Taking the independent variable to a constant power, we get a power function; unlike, if we take a constant (base) to the power expressed by the independent variable, we get an exponential function (exponent). The logarithm denotes the operation inverse to the exponent (i.e., the result of the power operation is the independent variable and the power itself id the value of the function) and e is a special number between 0 and 1 most commonly used as a base of the exponent.
6. Sums and Series. Sums need not to be explained, while series generalize (in the sense of limits) sums to the case of infinite number of summands.
7. Trigonometry. If points of the unit circle of the plain are used to denote angles, then the coordinates of the point are the two main number characteristics of the corresponding angle (they are called sine and cosine) and all other number characteristics are deduced from them.
8. Radians, Degrees, and Grads. Three types of units are used to measure angles and each one is defined by the number of units assigned to the full unit circle: if you measure in degrees, then the full circle is equal to 180 degrees, if you use grads, then the full circle consists of 400 grads, and, if you use radians, then the size of the full circle is equal to the irrational number 2π.