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# MA8352 Syllabus Linear Algebra and Partial Differential Equations

MA8352 Syllabus Linear Algebra and Partial Differential Equations Regulation 2017 Anna University free download. Linear Algebra and Partial Differential Equations Syllabus MA8352 pdf free download.

## UNIT I VECTOR SPACES MA8352 Syllabus Linear Algebra and Partial Differential Equations

Vector spaces – Subspaces – Linear combinations and linear system of equations – Linear independence and linear dependence – Bases and dimensions.

### UNIT II LINEAR TRANSFORMATION AND DIAGONALIZATION MA8352 Syllabus Linear Algebra and Partial Differential Equations

Linear transformation – Null spaces and ranges – Dimension theorem – Matrix representation of a linear transformations – Eigenvalues and eigenvectors – Diagonalizability.

#### UNIT III INNER PRODUCT SPACES MA8352 Syllabus Linear Algebra and Partial Differential Equations

Inner product, norms – Gram Schmidt orthogonalization process – Adjoint of linear operations – Least square approximation.

##### UNIT IV PARTIAL DIFFERENTIAL EQUATIONS MA8352 Linear Algebra and Partial Differential Equations Syllabus

Formation – 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.

###### UNIT V FOURIER SERIES SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS MA8352 Linear Algebra and Partial Differential Equations Syllabus

Dirichlet‟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.

 Subject name Linear Algebra and Partial Differential Equations Semester 3 Subject Code MA8352 Regulation 2017 regulation