CONTENTS :- PART – A DIFFERENTIAL EQUATIONS 1. SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER WITH VARIABLE COEFFICIENTS 2. SERIES SOLUTIONS OF DIFFERENTIAL LEGENDRE’S FUNCTIONS AND BESSEL’S FUNCTIONS 3. AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS 4. SOME METHODS FOR THE SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATION 5. PARTIAL DIFFERENTIAL EQUATIONS OF SECOND ORDER 6. PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS OF SECOND ORDER 7. PARTIAL DIFFERNTIAL EQUATIONS OF SESOND ORDER WITH VARIABLE COEFFICLENTS PART – B MECHANICS 1. FORCE IN THREE DIMENSIONS AND POINSOT’S CENTRAL AXIS 2. NULL LINES, NULL PLANES , SCREWS AND WRENCHES 3. VIRTUAL WORK 4. STABLE AND UNSTABLE EQUILIBRIUM 5. COMMON STRING 6. KINEMATICS IN TWO DIMENSIONS 7. RECTILLNEAR MOTION 8. MOTION IN RESISTING MEDIUM 9. CONSTRAINTS MOTIONS 10. MOTION ON SMOOTH AND ROUGH PLANE COUVES AND ROCKET MOTION 11. CENTRAL ORBITS AND KEPLER’S LAW 12. MOTION IN THREE DIMENSIONS