Engineering Mathematics — Course Content
This course covers the fundamental concepts of Engineering Mathematics, including matrices, differential calculus, multiple integration, and vector calculus. Each unit focuses on important mathematical techniques and their applications to engineering problems.
Unit 1 — Matrices
Hours: 8
Matrices provide powerful tools for solving systems of equations and analyzing engineering problems.
Topics Covered
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Elementary Transformations
- Row and column transformations
- Reduction of matrices to standard forms
- Applications of elementary operations
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Inverse of a Matrix
- Definition and properties of inverse matrices
- Finding the inverse using elementary transformations
- Applications of inverse matrices
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Rank of a Matrix
- Definition of rank
- Finding rank using elementary transformations
- Applications of matrix rank
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Solution of System of Linear Equations
- Homogeneous and non-homogeneous equations
- Consistency of linear systems
- Solutions using matrix methods
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Characteristic Equation