# [PDF] MA8352 Linear Algebra and Partial Differential Equations MCQ Multi Choice Questions, Lecture Notes, Books, Important Part-A 2 Marks Questions with answers, Important Part-B 16 marks Questions with answers, Question Banks & Syllabus

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MA8352 Linear Algebra and Partial Differential Equations

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## MA8352 Linear Algebra and Partial Differential Equations MCQ Multi Choice Questions, Lecture Notes & Part-A & Part-B Important Questions with Answers

Subject Details

READ HERE  [PDF] MA8353 Transforms and Partial Differential Equations (TPDE) Books, MCQ Multi Choice Questions, Lecture, Notes, 2 marks with answers, Important Part B 13 marks Questions
 SEMESTER : 03 SUBJECT CODE : MA8352 SUBJECT NAME : Linear Algebra and Partial Differential Equations DEPARTMENT : Electronics and Communication Engineering YEAR : Second Year (II Year) REGULATION : 2017 CONTENT : Syllabus, Lecture Notes, Important Part-A 2 Marks Questions and Important Part-B 13 & 15 Mark Questions, Previous Years Question Papers Collections and Question Banks.

## Syllabus

MA8352 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

#### 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. (adsbygoogle = window.adsbygoogle || []).push({});

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