Elementary Calculus

This book is a text for a first undergraduate course in mathematics. It is written for college and university students. All students majoring in mathematics and client discipline such as a computer science, biology, chemistry, physics and so on should be able to take this course. This book contains ten chapters. The first chapter introduces functions, kinds of functions and inequalities. The second chapter is transcendental functions, a functions that are not algebraic which includes the trigonometric, logarithmic, exponential and inverse trigonometric functions. Chapter three introduces matrices, kinds of matrices, determinants and Grammer rule. Derivatives of algebraic functions and the derivatives of trigonometric functions,natural logarithmic functions, exponential functions and inverse trigonometric functions and the applications of differentiation are studied in chapter four. Chapter five deals with complex numbers, polar form of complex numbers, and Euler's formula.