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Lec 6: Thermodynamic Potentials, by Prof.Girish S. Setlur

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Lec 7: Legendre Transformation, by Prof.Girish S. Setlur

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Lec 8: Calculation of Fugacity; Free Energy of Mixing, by Sandip Paul

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Lec 8: Conservation Laws and Symmetries, by Charudatt Y. Kadolkar

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Lec 8: Specific Heats of Quantum Gases, by Prof.Girish S. Setlur

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Lec 9: Low and High Temperature Equations of State, by Prof.Girish S. Setlur

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Lec 9: Velocity Dependent Potentials, Non-Holonomic Constraints, by Charudatt Y. Kadolkar

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Lec1-Part I-Classification of Optimization Problems and the Place of Calculus of Variations in it, by G.K. Anathasuresh

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Lec10-Part II-Constrained Minimization KKT Conditions, by G.K. Anathasuresh

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Lec11-Part I-Sufficient Conditions for Constrained Minimization, by G.K. Anathasuresh

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Lec12-Part II-Sufficient Conditions for Constrained Minimization, by G.K. Anathasuresh

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Lec13-Part I-Mathematical Preliminaries Function, Functional, Metrics and Metric Space, Norm and Vector Spaces, by G.K. Anathasuresh

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Lec14-Part II-Mathematical Preliminaries Function, Functional, Metrics and Metric Space, Norm and Vector Spaces, by G.K. Anathasuresh

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Lec15-Function Spaces and Gateaux Variation, by G.K. Anathasuresh

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Lec16-First Variation of a Functional Freche?t Differential and Variational Derivative, by G.K. Anathasuresh

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Lec17-Part I-Fundamental Lemma of Calculus of Variations and Euler Lagrange Equations, by G.K. Anathasuresh

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Lec18-Part II-Fundamental Lemma of Calculus of Variations and Euler Lagrange Equations, by G.K. Anathasuresh

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Lec19-Extension of Euler-Lagrange Equations to Multiple Derivatives, by G.K. Anathasuresh

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Lec2-Part II-Classification of Optimization Problems and the Place of Calculus of Variations in it, by G.K. Anathasuresh

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Lec20-Extension of Euler-Lagrange Equations to Multiple Functions in a Functional, by G.K. Anathasuresh

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Lec22-Part II-Global Constraints in Calculus of Variations, by G.K. Anathasuresh

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Lec23-Part I-Local (Finite Subsidiary) Constrains in Calculus of Variations, by G.K. Anathasuresh

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Lec25-Part I-Size Optimization of a Bar for Maximum Stiffness for Given Volume, by G.K. Anathasuresh

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Lec26-Part II-Size Optimization of a Bar for Maximum Stiffness for Given Volume, by G.K. Anathasuresh

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Lec27-Part III-Size Optimization of a Bar for Maximum Stiffness for Given Volume, by G.K. Anathasuresh

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Lec28-Part I-Calculus of Variations in Functionals Involving Two and Three Independent Variables, by G.K. Anathasuresh

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Lec29-Part II-Calculus of Variations in Functionals Involving Two and Three Independent Variables, by G.K. Anathasuresh

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Lec3-Part I-Genesis of Calculus of Variations, by G.K. Anathasuresh

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Lec30-Part I-General Variation of a Functional, Transversality conditions. Broken Extremals, Wierstrass-Erdmann Corner Conditions, by G.K. Anathasuresh

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Lec31-Part II-General Variation of a Functional, Transversality conditions. Broken Extremals, Wierstrass-Erdmann Corner Conditions, by G.K. Anathasuresh

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Lec32-Variational (Energy) Methods in Statics; Principles of Minimum Potential Energy and Virtual Work, by G.K. Anathasuresh

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Lec33-Part I-General Framework of Optimal Structural Designs, by G.K. Anathasuresh

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Lec34-Part II-General Framework of Optimal Structural Designs, by G.K. Anathasuresh

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Lec35-Optimal Structural Design of Bars and Beams Using the Optimality Criteria Method, by G.K. Anathasuresh

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Lec36-Invariants of Euler-Lagrange Equations and Canonical Forms, by G.K. Anathasuresh

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Lec37-Noether’S Theorem, by G.K. Anathasuresh

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Lec38-Minimum Characterization of Sturm-Liouville Problems, by G.K. Anathasuresh

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Lec39-Rayleigh Quotient for Natural Frequencies and Mode Shapes of Elastic Systems, by G.K. Anathasuresh

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Lec4-Part II-Genesis of Calculus of Variations, by G.K. Anathasuresh

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Lec40-Stability Analysis and Buckling Using Calculus of Variations, by G.K. Anathasuresh

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Lec41-Strongest (most Stable) Column, by G.K. Anathasuresh

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Lec42-Dynamic Compliance Optimization, by G.K. Anathasuresh

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Lec43-Electro-Thermal-Elastic Structural Optimization, by G.K. Anathasuresh

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Lec44-Formulating the Extremization Problem Starting from the Differential Equation, Self-Adjointness of the Differential Operator, and Methods to Deal with Conservative and Dissipative System, by G.K. Anathasuresh

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Lec5-Part I-Formulation of Calculus of Variations Problems in Geometry and Mechanics and Design, by G.K. Anathasuresh

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Lec6-Part II-Formulation of Calculus of Variations Problems in Geometry and Mechanics and Design, by G.K. Anathasuresh

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Lec7-Part I-Unconstrained Minimization in one and many Variables, by G.K. Anathasuresh

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Lec8-Part II-Unconstrained Minimization in one and many Variables, by G.K. Anathasuresh

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Lec9-Part I-Constrained Minimization KKT Conditions, by G.K. Anathasuresh

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Lecture 01-Brief Introduction, by Krishanu Biswas

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