CONTENTS

CONTENTS CHAPTER TITLE PAGE NO. MONTH Applications of Differential Calculus October . Introduction . Meaning of Derivatives . Mean Value Theorem . Series Expansions . Indeterminate Forms . Applications of First Derivative . Applications of Second Derivative . Applications in Optimization . Symmetry and Asymptotes . Sketching of Curves Differentials and Partial Derivatives October/November . Introduction . Linear Approximation and Differentials . Functions of Several Variables . Limit and Continuity of Functions of Two Variables . Partial Derivatives . Linear Approximation and Differential of a Function of Several Variables Applications of Integration  November/December . Introduction . Definite Integral as the Limit of a Sum . Fundamental Theorems of Integral Calculus and their Applications . Bernoulli’s Formula . Improper Integrals . Reduction Formulae . Gamma Integral . Evaluation of Bounded Plane Area by Integration . Volume of a Solid obtained by Revolving Area about an Axis MATHEMATICS VOLUME-II - - IV E-book Assessment Ordinary Differential Equations December . Introduction . Differential Equation, Order, and Degree . Classification of Differential Equations . Formation of Differential Equations . Solution of Ordinary Differential Equations . Solution of First Order and First Degree Differential Equations . First Order Linear Differential Equations . Applications of First Order Ordinary Differential Equations Probability Distributions January . Introduction . Random Variable . Types of Random Variable . Continuous Distributions . Mathematical Expectation . Theoretical Distributions: Some Special Discrete Distributions Discrete Mathematics January . Introduction . Binary Operations . Mathematical Logic ANSWERS GLOSSARY BOOKS FOR REFERENCE - - “Nothing takes place in the world whose meaning is not that of some maximum or minimum” - Leonhard Euler