Subject Code: ME6L171	Name: Applications of Linear Algebra in Mechanical Engineering	L-T-P: 3-0-0	Credit: 0
Pre-Requisite(s): None Key Ideas of Linear Algebra, Differential Eqns. and Difference Eqns., Solving a Linear System, Eigenvalues and Positive Definite matrix, Springs and Masses, Oscillation, Finite Differences in Time, Least Squares, Graphs and Networks, Kirchhoff's Current Law, Trusses, Finite Elements in 1D, Quadratic/Cubic Elements, Element Matrices; 4th Order Bending Equations, Boundary Conditions, Splines, Gradient, Divergence, Gradient and Divergence, Laplace's Equation, Finite Elements in 2D, Fast Poisson Solver, Fourier Series, Discrete Fourier Series, Fast Fourier Transform, Convolution, Filtering, Fourier Integral Transform, Convolution Equations: Deconvolution, Sampling Theorem Text/Reference Books: 1. G. Strang, Introduction to Linear Algebra. 4th ed. Wellesley, MA: Wellesley-Cambridge Press, 2007. 2. Michael Woolfson & Malcolm S. Woolfson, Mathematics for Physics, Oxford Univ. Press, 2006.

Subject Code: ME6L171

Name: Applications of Linear Algebra in Mechanical Engineering

L-T-P: 3-0-0

Credit: 0

Pre-Requisite(s): None

Key Ideas of Linear Algebra, Differential Eqns. and Difference Eqns., Solving a Linear System, Eigenvalues and Positive Definite matrix, Springs and Masses, Oscillation, Finite Differences in Time, Least Squares, Graphs and Networks, Kirchhoff's Current Law, Trusses, Finite Elements in 1D, Quadratic/Cubic Elements, Element Matrices; 4th Order Bending Equations, Boundary Conditions, Splines, Gradient, Divergence, Gradient and Divergence, Laplace's Equation, Finite Elements in 2D, Fast Poisson Solver, Fourier Series, Discrete Fourier Series, Fast Fourier Transform, Convolution, Filtering, Fourier Integral Transform, Convolution Equations: Deconvolution, Sampling Theorem
Text/Reference Books:
1. G. Strang, Introduction to Linear Algebra. 4th ed. Wellesley, MA: Wellesley-Cambridge Press, 2007.
2. Michael Woolfson & Malcolm S. Woolfson, Mathematics for Physics, Oxford Univ. Press, 2006.