Fundamentals Of Mathematics - Differential Calculus

This book has been written with the objective of providing a textbook as well as an exercise book, focusing on problem solving. I feel, this will not only fulfil the need of a beginner, pre-college student (i.e., students of XI and XII standards), but also meet the requirements of the advanced level students who are preparing for various entrance examinations like IIT-JEE, AIEEE, BIT-SAT, and other state engineering entrance examinations. This book, Fundamentals of Mathematics—Co-ordinate Geometry, develops a deep insights into topics, such as Points and Cartesian System, Straight Lines and Family of Straight Lines, Circles and Family of Circle, Parabola, Ellipse and Hyperbola. I personally experienced in my teaching career that the last three conic sections are the most scary from a student’s point of view, but highly scoring topics of mathematics as far as competitive exams are concerned. One of the reasons for the phobia in the students’ minds against these topics is non-familiarity with these curves in basic classes and lack of good books that lay down these concepts in a student-friendly and lucid manner.

Chapter 1 The Limit of a Function

Chapter 2 Continuity and Differentiability

Chapter 3 Method of Differentiation

Chapter 4 Application of Derivatives I

Chapter 5 Application of Derivatives II