CONTENTS: PART-A 1. BASICS OF MATRICES 2. RANK OF A MATRIX 3. INVERSE OF A MATRIX 4. LINEAR EQUATIONS 5. EIGENVALUES AND EIGENVECTORS OF A MATRIX DIFFERENTIAL EQUATIONS 1. DIFERENTIAL EQUATION OF FIRST ORDER AND FIRST DEGREE 2. DIFFERENTIAL EQUATION OF FIRST ORDER AND HIGHER DEGREE 3. ORTHOGONAL TRAJECTORIES 4. LINEAR DIFFERENTIAL EQUATIONS WITHCONSTANT COEFFICIENTS PART-B 1. GENERAL EQUATION OF SECOND DEGREE 2. TRACING OF CONICS 3. CONFOCAL CONICS 4. POLAR EQUATION OF A CONIC UNIT-2 5. THREE DIMENSIONAL SYSTEM OF CO-ORDINATES 6. DIRECTION COSINES AND ANGLE BETWEEN TWO LINES 7. THE PLANE 8. THE STRAIGHT LINE UNIT-3 9. THE SPHERE 10. THE CONE 11. THE CYLINDER 12. THE CENTRAL CONICOIDS 13. PLANE SECTION OF CENTRAL CONICOIDS 14. REDUCTION OF GENERAL EQUATION OF SECOND DEGREE 15. GENERATING LINES