Mathematics Topics used in Engineering

Mathematics:



Mathematics is defined as the study of quantities and relations with the help of numbers and symbols. So, mathematics and engineering work together as they are right hand to each other because engineering uses mathematical operations in calculation of their projects. Mathematics is very famous in modern industry. So, mathematics is found in every sector of the job market as in engineering research, telecommunications, computer services and software, energy systems, computer manufacturers, aerospace and automotive, chemicals and pharmaceuticals, and government laboratories, among others.

Different types of mathematics

  1. Geometry
  2. Trigonometry
  3. Calculus I and II
  4. Linear Algebra
  5. Differential Equations
  6. Statistics.
1) Geometry: Geometry ( geo = earth, metria = measure) is a part of mathematics deals with the size, shape, relative position of figures and also includes solving of space. Geometry is one of the oldest sciences we use till now.

2) Trigonometry: Algebra is the branch of mathematics concern with the study of rules of operations and the things constructed from them, including terms, polynomials, equations and algebraic structures. It works with the geometry, analysis, topology, combinatory, and number theory, algebra is the one of the most important part of the mathematics. Statements based on these variables are solved by using the rules of operations that apply to numbers, eg: multiply, subtraction, addition, etc.


3) Calculus: Calculus (It is a Latin word, calculus, a small stone used for counting) is a branch in mathematics works on limits, functions, derivatives, integrals and infinite series. This part of mathematics deals with a major part of modern mathematics education. It is divided into two major branches, differential calculus and integral calculus. It is the study of change occurs on the limits, same as that of geometry which is the study of shapes and algebra is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. Calculus is very much used in science, economics and engineering and can solve using calculus we can’t imagine its solution without calculus.

Differential Equations

Integral Calculus

4) Linear Algebra: Linear algebra is a branch of mathematics deals with the study of vectors, vector spaces (also called linear spaces), linear maps (also called linear transformations), and systems of linear equations. Vector spaces are the very important part in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis.
5) Differential Equations: A differential equations are the mathematical equations for unknown functions of one or more variables that relate the values of the functions by itself and its derivatives. Differential equations play a very important role in physics, engineering, economics and other subjects of science.
Differential equations are use in almost every area of science and technology. Newton’s Laws also use differential equations which allow one to relate the position, velocity, acceleration and various forces acting on the body and state this relation as a differential equation for the unknown position of the body as a function of time.
6) Statistics: Statistics is the part of mathematics, as it is basically the science of making good and efficient use of numerical data related to groups of individual numeric. It basically deals with not only the collections, analysis and interpretations of the collected data, but also the planning of the collection of data.

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