| Course Name | Calculus of Variations & Numerical Methods |
| Course Code | 15 MAT 211 |
| Program | B. Tech. in Aerospace Engineering |
| Semester | Four |
| Year Taught | 2019 |
Calculus of Variations: Maxima and minima – The simplest case – Illustrative examples – Natural boundary conditions and transition conditions – Concept of functional with simple example – Variation of a functional (only necessary conditions) – Simple variational problem – Euler equation – The more general case of variational problems – Constraints and Lagrange multipliers – Variable end points.
Sturm-Liouville problems – Hamilton’s principle – Lagrange’s equations – Generalized dynamical entities – Constraints in dynamical systems – Applications in dynamics of particles, vibrating string, vibrating membranes, theory of elasticity – The variational problem of a vibrating elastic plate – Direct methods in calculus of variations – The Rayleigh-Ritz and finite difference methods. (Book-1)
Numerical Methods: Solution of Equations by iteration methods. Interpolations.
Numerical Integration and Differentiation. (Book-2: Sections: 19.1-19.5)
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