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This Book “Matrices and Differential Equation & Geometry” has been written according to NEP-2020 to meet out the requirement of B.A./B.Sc. Ist Yea .... Read More
This Book “Matrices and Differential Equation & Geometry” has been written according to NEP-2020 to meet out the requirement of B.A./B.Sc. Ist Year (IInd Semester) students of all U.P. State Universities. The text of the book is in two parts : Part A : Matrices and Differential Equations Part B : Geometry The text covers the topics on Matrices, Differential Equations and Geometry with a large number of examples starting from easy to hard in nature that will make sure to buildup the capacity of the students as well as our learned faculty members. Every attempt is made to make this a “readable” mathematics text and to enhance learning and understanding.
| Sr | Chapter Name | No Of Page |
|---|---|---|
| 1 | Part A : Matrices – 1. Basics of Matrices | 24 |
| 2 | 2. Rank of a Matrix | 34 |
| 3 | 3. Inverse of a Matrix | 11 |
| 4 | 4. Linear Equations | 20 |
| 5 | 5. Eigenvalues and Eigenvectors of a Matrix | 43 |
| 6 | Differential Equations – 1. Differential Equation of First Order and First Degree | 63 |
| 7 | 2. Differential Equation of First Order and Higher Degree | 28 |
| 8 | 3. Orthogonal Trajectories | 15 |
| 9 | 4. Linear Differential Equations with Constant Coefficients | 48 |
| 10 | Part-B : Geometry – 1. General Equation of Second Degree; | 13 |
| 11 | 2. Tracing of Conics | 34 |
| 12 | 3. Confocal Conics | 10 |
| 13 | 4. Polar Equation of a Conic | 45 |
| 14 | 5. Three Dimensional System of Co-ordinates | 16 |
| 15 | 6. Direction Cosines and Angle Between Two Lines | 23 |
| 16 | 7. The Plane | 37 |
| 17 | 8. The Straight Line | 50 |
| 18 | 9. The Sphere | 47 |
| 19 | 10. The Cone | 43 |
| 20 | 11. The Cylinder | 10 |
| 21 | 12. The Central Conicoids | 39 |
| 22 | 13. Plane Section of Central Conicoids | 29 |
| 23 | 14. Reduction of General Equation of Second Degree | 32 |
| 24 | 15. Generating Lines | 32 |
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