202 ENGINEERING MATHEMATICS-II
|
| Units |
Contents of the subjects |
I
Coordinate Geometry of Three Dimensions: Equation of a sphere, Intersection of a sphere and a
plane, tangent plane, Intersection of two spheres, orthogonality of two spheres, Right circular
cone. Right circular cylinder.
|
|
| II |
Matrices: Rank of a matrix, Rank of matrix by reducing to normal forms, Consistency of systems
of linear simultaneous equations and its solution, Eigen values and Eigen vectors, Cayley-Hamilton theorem (without proof), Diagonalization of matrix.
|
| III |
Vector Calculus: Scalar and vector field, differentiation & integration of vector functions,
Gradient, Divergence, Curl and Differential Operator, Line, Surface and volume Integrals.
|
| IV |
Application of Vector Calculus: Green's Theorem in a Plane, Gauss's and Stoke's Theorem
(without proof) and their Applications.
Fourier Series: Expansion of simple functions in Fourier Series, half range Fourier sine and
cosine series, change of interval. Harmonic Analysis.
|
| V |
Differential Equations: Series Solutions of Second Order Linear Differential Equations with
Variable Coefficients (Complementary Functions only), Partial Differential Equations of First
Order : Lagrange's Form, Standard Forms, Charpit's Method .
|