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As you are looking for Visvesvaraya Technological University (VTU), Belgaum M.Tech. VLSI Design and Embedded Systems program syllabus, so on your demand I am providing same here : Advanced Mathematics Subject Code : 14ELD11 IA Marks : 50 No. of Lecture Hours / Week : 04 Exam. Hours : 03 Total No. of Lecture Hours : 50 Exam. Marks : 100 Matrix Theory QR EL Decomposition – Eigen values using shifted QR algorithm- Singular Value EL Decomposition - Pseudo inverse- Least square approximations Calculus of Variations Concept of Functionals- Euler’s equation – function al dependent on first and higher order derivatives – Functionals on several dependent variables – Isoperimetric problems- Variational pro blems with moving boundaries Transform Methods Laplace transform methods for one dimensional wave equation – Displacements in a string – Longitudinal vibration of a elastic bar – Fourier transform methods for one dimensional heat conducti on problems in infinite and semi infinite rod. Elliptic Equation Laplace equation – Properties of harmonic functions – Fourier transform methods for laplace equations. Solution for Poisson equation by Fourier transforms method Linear and Non Linear Programming Simplex Algorithm- Two Phase and Big M techniques – Duality theory- Dual Simplex method. Non Linear Pr ogramming –Constrained extremal problems- Lagranges multiplier method- Kuhn- Tucker conditions and solutions Visvesvaraya Technological University (VTU), Belgaum M.Tech. VLSI Design and Embedded Systems program syllabus ![]() ![]() ![]() ![]() |
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