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Matrices and Differential Equations & Geometry Book B.Sc 2nd Sem

Click below to Buy E-Book Edition:
₹ 270 E-BOOK GOOGLE PLAY
Buy Latest Matrices and Differential Equations & Geometry Book for B.Sc 2nd Sem Book in English specially designed for All U.P State Universities CCSU, DBRAU, MGKVP, PRSU,MJPRU etc.
ISBN-978-93-5480-385-7
Authors- Dr. Satendra Kumar , Dr. Chandrashekhar Diwakar
Tax excluded
Click below to Buy E-Book Edition:
₹ 270 E-BOOK GOOGLE PLAY
Buy Latest Matrices and Differential Equations & Geometry Book for B.Sc 2nd Sem Book in English specially designed for All U.P State Universities CCSU, DBRAU, MGKVP, PRSU,MJPRU etc.
ISBN-978-93-5480-385-7
Authors- Dr. Satendra Kumar , Dr. Chandrashekhar Diwakar
Syllabus
B030201T: Matrices and Differential Equations & Geometry
|
PART-A Matrices and Differential Equations |
|
Unit No. |
Topics |
Total No. of Lectures |
I |
Types of Matrices, Elementary operations on Matrices, Rank of a Matrix, Echelon form of a Matrix, Normal form of a Matrix, Inverse of a Matrix by elementary operations, System of linear homogeneous and non-homogeneous equations, Theorems on consistency of a system of linear equations |
12 |
II
|
Eigen values, Eigen vectors and characteristic equation of a matrix, Caley-Hamilton theorem and its use in finding inverse of a matrix, Complex functions and separation into real and imaginary parts, Exponential and Logarithmic functions Inverse trigonometric and hyperbolic functions. |
11 |
III
|
Formation of differential equations, Geometrical meaning of a differential equation, Equation of first order and first degree, Equation in which the variables are separable, Homogeneous equations, Exact differential equations and equations reducible to the exact form, Linear equations. |
11 |
IV |
First order higher degree equations solvable for x, y, p, Clairaut’s equation and singular solutions, orthogonal trajectories, Linear differential equation of order greater than one with constant coefficients, Cauchy- Euler form. |
11 |
|
PART-B Geometry |
|
V |
General equation of second degree, System of conics, Tracing of conics, Confocal conics, Polar equation of conics and its properties. |
12 |
VI |
Three-Dimensional Coordinates, Projection and Direction Cosine, Plane (Cartesian and vector form), Straight line in three dimension. |
11 |
VII |
Sphere, Cone and Cylinder. |
11 |
VIII |
Central conicoids, Paraboloids, Plane section of conicoids, Generating lines, Confocal conicoids, Reduction of second degree equations. |
11 |