Differential Calculus This book has been designed to meet the

This book has been designed to meet the requirements of undergraduate students of BA and BSc courses.

it commences with a brief outline of development of real numbers, their expression as infinte decimals and their representation by points along a line.

While the first part of the book is analytical, the latter part deals with the geometrical applications of the subject.

Numerous examples and exercises have been provided to support student's understanding.

1.

Analytical geometrical interpretation of results has been provided2.

Principles and methods profusely illustrated with the help of numerous solved examples3.

A Chapter on Some Important Curves which acquaints the students with different kinds of curves helping them understand their properties Chapter1: Real Numbers Chapter2: Functions and Graphs Elementary Functions Chapter3: Continuity and Limit Chapter4: Differentiation Chapter5: Successive Differentiation Chapter6: Expansion of Functions Chapter7: Tangents and Normals Chapter8: Mean Value Theorems Chapter9: Maxima and Minima Chapter10: Indeterminate Forms Chapter11: Partial Differentiation Chapter12: Jacobians Chapter13: Concavity and Points of Inflexion Chapter14: Curvature and Evolutes Chapter15: Asymptoes Chapter16: Singular Points Chapter17: Curve Tracing Chapter18: Envelopes Chapter19: Change of Independent Variables