Mathematics includes the study of such topics as quantity, structure, space, and change. It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof. Mathematics represents the study of basic concepts of numbers, space and quantity as well as application of these concepts in the fields of physics and engineering. Mathematical research demonstrates the interaction between various disciplines of theoretical and applied mathematics. It also combines the concept of statistics, computational science, population genetics, operations research, cryptology, econometrics, theoretical physics, and actuarial science.
Physics is the branch of science that deals with the structure of matter and how the fundamental constituents of the universe interact. It studies objects ranging from the very small using quantum mechanics to the entire universe using general relativity. Physical science is one of the oldest academic disciplines which over time have converged with several other scientific disciplines to form new branches viz. biophysics, robotics, astrophysics, etc. Modern physics intends to imply the classical physics? concepts towards the development of new and advanced methods and tools that can find practical applications in health, telecommunication and electronics industry.