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Calculus

Calculus (from Latin, "pebble" or "little stone") is a branch of mathematics that includes the study of limits, derivatives, integrals, and infinite series. Calculus is used to solve complex and expansive problems for which algebra alone is insufficient. It builds on analytic geometry and mathematical analysis and includes two major branches, differential calculus and integral calculus . Differential calculus determines the rate of change of a quantity; where as integral calculus finds the quantity where the rate of change is known.

Application of Calculus

Calculus applications are wide spread in every field. It is used in every branch of the physical sciences, in engineering, medicine, economics, business, statistics, atmospheric sciences, nuclear sciences and in all other fields wherever a problem can be mathematically modeled and an optimal solution is desired.

    Physics makes particular use of calculus; all concepts in classical mechanics are interrelated through calculus. The mass of an object of known density, the moment of inertia of objects, as well as the total energy of an object within a conservative field can be found by the use of calculus. In the subfields of electricity and magnetism calculus can be used to find the total flux of electromagnetic fields. Maxwell's theory of electromagnetism and Einstein's theory of general relativity are also expressed in the language of differential calculus.

    In the realm of medicine, calculus can be used to find the optimal branching angle of a blood vessel so as to maximize flow.

     In analytic geometry, the study of graphs of functions, calculus is used to find high points and low points (maximums and minimums), slope, concavity and inflection points.

    In economics, calculus allows for the determination of maximal profit by providing a way to easily calculate both marginal cost and marginal revenue.

    Calculus can be used to find approximate solutions to equations, in methods such as Newton's method, fixed point iteration, and linear approximation. For instance, spacecraft use a variation of the Euler method to approximate curved courses within zero gravity environments

Why students feel calculus is tough and hard?

Calculus concepts are based on understanding the continuity of a function and also it is usually developed by manipulating very small quantities. It also demands the knowledge of basic concepts of algebra and geometry. When a student faces wordy problems, their non-systematic and incomplete knowledge confuses him and forces him to commit conceptual mistakes.

How TransWebTutors.com online tutors helps make Calculus easy?

Online Tutors at TransWebTutors.com are highly qualified professionals and well experienced online tutor. They are specially trained for years together, who are able to meet international level of teaching. Online tutors at TransWebTutors.com are known for their creativity and understand the importance for development of the notions and methods on Calculus. For example we teach with handful of Calculus tricks like constant function rule, power function rule, sum-difference rule, product quotient rule and chain rule, which make the students feel that Calculus is the first preferred topic in Mathematics. Online tutors at TransWebTutors.com know that some students understand a relation better when it is visualized. Interpreting graphs and using them to make predictions is a fundamental skill that all students need to develop. Furthermore, teaching via pictures and clip arts makes it easy to comprehend and remember.

Some of the important topics in Calculus