Algebra is a branch of mathematics in which one expresses relations among quantities by using symbols to represent these quantities. The symbols are called the …
Trigonometry is primarily a branch of Mathematics that studies relationship involving sides and angles of triangles. The word trigonometry stems from the Greek word trigonon which means triangle and metron …
Binomial theorem facilitates the algebraic expansion of the binomial \( (a + b) \) for a positive integral exponent \( n \). Binomial theorem is used in all branches of Mathematics …
The beginnings of matrices and determinants go back to the second century BC although traces can be seen back to the fourth century BC. However, it was not until near the end of the seventeenth …
Calculus is about rates of change. Rates of change occur in all the sciences. A mathematician is interested in measuring the rate of change of the deviations of a straight line at a point on a curve, …
differential calculus differentiability and methods of differentiation
In this chapter we discuss the concept of derivative and related concepts and develop tools necessary for solving real life problems. In this connection, let us look at the following …
Gottfried Wilhelm Leibniz (1646-1716) and Sir Isaac Newton (1643-1727) independently discovered calculus in the mid-17th century. Leibniz, a German philosopher, mathematician, and political adviser, importantly …