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