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1.1 Rank-Echelon form-Normal form
1.2 Solution of linear systems
1.3 Gauss elimination,Gauss Jordon
1.4 Gauss Jacobi and Gauss Seidal methods
1.5 Applications: Finding the current in electrical circuits
2.1 Eigen values-Eigen vectors, Properties
2.2 Cayley-Hamilton theorem,Inverse and powers of a matrix by using Cayley-Hamilton theorem
2.3 Diagonalization
2.4 Quadratic forms- Reduction of quadratic form to canonical form
2.5 Rank-Positive, negative and semi definite-Index-Signature
2.6 Applications: Free vibration of a two-mass system
3.1 Curve tracing: Cartesian, Polar and Parametric forms
3.2 Multiple integrals: Double and triple integrals
3.3 Change of variables
3.4 Change of order of integration
3.5 Applications: Finding Areas and Volumes
4.1 Beta and Gamma functions-Properties
4.2 Relation between beta and gamma functions and simple problems
4.3 Evaluation of improper integrals
4.4 Application: Evaluation of integrals
5.1 Gradient, Divergence, Curl
5.2 Laplacian and second order operators
5.3 Vector identities
5.4 Application: Equation of continuity,Potential surfaces
6.1 Line integral,Work done
6.2 Potential function
6.3 Area - surface and volume integrals
6.4 Vector integral theorems: Greens, Stokes and Gauss Divergence Theorems (Without proof) and related problems,Green’s theorem,Stoke’s theorem,Gauss's Divergence Theorem
6.5 Application: Work done, Force
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CategoriesEngineering Mathematics
Format EPUB
TypeeBook