The word mathematics
comes from the
Greek
(máthema) which
means science, knowledge, or learning. Mathematics is commonly
defined as the study of quantities and relations through the use
of figures, numbers, patterns, and symbols.
Even though
mathematics itself is not generally considered a
natural
science, the specific
structures that are investigated by mathematicians often have
their origin in the natural sciences, regularly in
physics.
Mathematics crosses over the
interconnected branches of the mathematics and statistics field
by demonstrating how applied and pure mathematics can be used in
statistics and actuarial science, or how solving certain
problems may require techniques drawn from calculus and algebra.
In general, the study of mathematics may embrace the following
subjects:
Arithematic
Algebra
Geometry
Analysis
Calculus
Statistics
Probability

There are
other subjects within mathematics, and many subsubjects under
the major subjects.
Divisions of
Mathematics
There are two major
divisions of mathematics: pure and applied.
Pure
Mathematics is the mathematics which underlies all applications.
Applied
mathematics is a branch of mathematics that concerns itself
with the application of mathematical knowledge to other domains.
Such applications include mathematics of engineering, numerical
analysis, optimization, modeling, mathematical biology,
bioinformatics, financial mathematics, etc. Engineering
mathematics describes physical processes, and so is often
indistinguishable from theoretical physics.
Important
subdivisions include: fluid dynamics, mechanics, and Maxwell’s
equation that govern electromagnetism.
In order
to find a way around the collection of mathematical ideas, it is
useful to organize them and classify them in some way into
parts.
Among the
ways to divide the field of mathematics is by field of
application.
There are many books and courses in schools labeled
“Engineering mathematics”, “Financial mathematics”, “Mathematics
for social scientists”, and so on.
Math in
Engineering
Math is present in all
disciplines of science and engineering. Traditionally, it has
been the needs of the physical sciences including engineering
which have driven the development of many parts of math,
particularly analysis.
Mathematical talent and problemsolving
ability is needed in engineering, physics, chemistry and other
sciences. In fact, with the application of mathematics in
business and the social sciences, there is barely a field that
does not need a good background in math.
An understanding of key mathematical
concepts together with a skill to apply them effectively to
solve engineering problems is an essential ability that every
engineering student must acquire.
Many students learn to solve
theoretical problems without being able to apply that knowledge
and further, are exposed to pure rather than applied
mathematics. As well, the teachers’
perception of mathematics clearly
affects the manner in which it is presented and in turn, affects
students’ perceptions and understanding of mathematics.
View a Movie: Math
in Building Custom Guitars
Engineering Fundamentals
