MA8352 Notes 1 link download - Click here Click below link to download Linear Algebra and Partial Differential Equations Syllabus Notes Question papers Question Banks 2 marks with answers Part B Questions with answers download. UNIT V FOURIER SERIES SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONSĭirichlet‘s conditions – General Fourier series – Half range sine and cosine series - Method of separation of variables – Solutions of one dimensional wave equation and one-dimensional heat equation – Steady state solution of two-dimensional heat equation – Fourier series solutions in Cartesian coordinates. Inner product, norms - Gram Schmidt orthogonalization process - Adjoint of linear operations - Least square approximation.įormation – Solutions of first order equations – Standard types and equations reducible to standard types – Singular solutions – Lagrange‘s linear equation – Integral surface passing through a given curve – Classification of partial differential equations - Solution of linear equations of higher order with constant coefficients – Linear non-homogeneous partial differential equations. Linear transformation - Null spaces and ranges - Dimension theorem - Matrix representation of a linear transformations - Eigenvalues and eigenvectors - Diagonalizability. UNIT II LINEAR TRANSFORMATION AND DIAGONALIZATION Vector spaces – Subspaces – Linear combinations and linear system of equations – Linear independence and linear dependence – Bases and dimensions.
