Master Engineering Mathematics for CSE with our BMATS101 VTU Notes. Explore calculus, modular arithmetic, and linear algebra specifically designed for the 2022 Scheme CSE stream at the all-new vtubuddy.in portal.
Master Engineering Mathematics for CSE with our BMATS101 VTU Notes. Explore calculus, modular arithmetic, and linear algebra specifically designed for the 2022 Scheme CSE stream at the all-new vtubuddy.in portal.
Partial differentiation, total derivative, differentiation of composite functions, Jacobian, Statement of Taylor’s and Maclaurin’s series expansion for two variables. Maxima and minima for the function of two variables
Scalar and vector fields, Gradient, directional derivatives, divergence and curl – physical interpretation, solenoidal vector fields, irrotational vector fields and scalar potential. Introduction to polar coordinates and polar curves.
Curvilinear coordinates: Scale factors, base vectors, Cylindrical polar coordinates, Spherical polar coordinates, transformation between cartesian and curvilinear systems, orthogonality.
Elementary row transformation of a matrix, Echelon form, rank of a matrix. Consistency and solution of system of linear equations: Gauss elimination method, Gauss Jordan method. Applications: Traffic flow.
Eigenvalues and Eigenvectors, diagonalization of the matrix, modal matrix.
Vector spaces: definition and examples, subspace: definition and examples. Linear Combinations, linear span, linearly independent and dependent sets, basis and dimension, row space and column space of a matrix, Coordinates vector, inner products and orthogonality.
Definition and examples, algebra of linear transformations, matrix of a linear transformation. Singular, non-singular linear transformations and invertible linear transformations. Rank and nullity of linear transformations, Rank-Nullity theorem.
BCS702
BCS701
BIS654C
BCS3012Mod
BCEDK103
BCSL305
BCS30122550question
BCS303
XYZS301
