Mathematics is a necessary subject for students due to its worldwide applications. Maths is the science that teaches the logic quality, arrangement and shape. It is the basic building block of everything in the daily life, be it arts, engineering, money, architecture or mobile devices. Besides its applications in our daily life, maths is also utilized in multiple other subjects like economics, physics, chemistry, accountancy and computer science to name a few. Students who take maths as their major subject in higher education and in doctoral research lead a stressful life when they have to deal with the complex equations and apply the learning n completing the assignments.
Teaching and learning of mathematics were developed by the Sumerians about nearly 5,000 years ago. However, the roots of mathematics go back much more than 5,000 years. Our maths assignment help writers cannot define mathematics in a few words because according to them maths is a vast area, but we can say that it is the study of quantity, space, measurements, change and other properties.
Mathematics has become a vast subject over the years, which make the students to seek maths assignment help by the professionals. In order to make it easier for the students there is a need for categorizing different areas of maths. The traditional division of mathematics is divided into two categories : Pure mathematics and Applied mathematics.
Pure mathematics is the mathematics in which we solve the problems to answer the questions. Our maths assignment help experts explain the disciplines that are considered as the foundation of pure mathematics. The areas where pure mathematics is applied are : cryptography and finance.
Some softwares used by our experts for the calculations of mathematics problems include : GAMS, NETlib, GAP, MAGMA, MACSYMA, Mathcad, MATLAB, MATCOM, Mathematica Resources, MLAB, NMATH, AT & T Software Tools, SAGE, REDUCE, SPSS, MAXIMA, Mini-Type, etc.
Applied Mathematics is the mathematics in which we solve problems, to answer the questions outside mathematics like physics, biology, economics, and so on. It deals with the practical problems by studying mathematical methods. The major areas of applied mathematics include:
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There are numerous uses of maths, let's discuss some of them with our maths assignment help experts.
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Three particles A, B and C lie in that order in a straight smooth groove so that they can only move along the x-axis. Both A and C are of unit mass whilst B is of mass M. Particle B is joined to the other two by identical linear springs of unit stiffness.
(a) If the three particles are displaced from equilibrium by distances x1, x2 and x3 show that the equations of motion are d2x1/dt2 = x2 - x1, M d2x2/dt2 = x3 - 2x2 + x1, d2x3/dt2 = x2 - x3.
(b) Prove that the frequencies of the three normal modes are given by ? = 0, 1 and ?2 = 1 + (2/M). [5 marks]
(c) Describe the motions of the particles corresponding to the normal modes.[4 marks]