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Department | Electronics Communication Engineering |

Year | 2nd Year |

Semester | 3rd Semester |

University | Anna University |

Regulation | R2017 |

Subject Code | MA8352 |

Subject Name | LINEAR ALGEBRA AND PARTIAL DIFFERENTIAL EQUATIONS |

Download File | MA8352 LINEAR ALGEBRA AND PARTIAL DIFFERENTIAL EQUATIONS Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank |

## MA8352 LINEAR ALGEBRA AND PARTIAL DIFFERENTIAL EQUATIONS Syllabus

UNIT I VECTOR SPACES 12 Vector spaces – Subspaces – Linear combinations and linear system of equations – Linear independence and linear dependence – Bases and dimensions.

UNIT II LINEAR TRANSFORMATION AND DIAGONALIZATION 12 Linear transformation – Null spaces and ranges – Dimension theorem – Matrix representation of a linear transformations – Eigenvalues and eigenvectors – Diagonalizability.

UNIT III INNER PRODUCT SPACES

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

UNIT IV PARTIAL DIFFERENTIAL EQUATIONS

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

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.

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LINEAR ALGEBRA AND PARTIAL DIFFERENTIAL EQUATIONS Lecture Notes Download

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## MA8352 LINEAR ALGEBRA AND PARTIAL DIFFERENTIAL EQUATIONS Lecture Notes Collection

MA8352 LINEAR ALGEBRA AND PARTIAL DIFFERENTIAL EQUATIONS Notes ( UNIT 1 – UNIT 5) – Download

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