| Module Name | Download |
|---|---|
| Assignment 1 | Assignment 1 |
| Assignment 1 Solutions | Assignment 1 Solutions |
| Assignment 2 | Assignment 2 |
| Assignment 2 Solutions | Assignment 2 Solutions |
| Assignment 3 | Assignment 3 |
| Assignment 3 Solutions | Assignment 3 Solutions |
| Assignment 4 | Assignment 4 |
| Assignment 4 Solutions | Assignment 4 Solutions |
| Assignment 5 | Assignment 5 |
| Assignment 5 Solutions | Assignment 5 Solutions |
| Assignment 6 | Assignment 6 |
| Assignment 6 Solutions | Assignment 6 Solutions |
| Assignment 7 | Assignment 7 |
| Assignment 7 Solutions | Assignment 7 Solutions |
| Assignment 8 | Assignment 8 |
| Assignment 8 Solutions | Assignment 8 Solutions |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Lec1-Part I-Classification of optimization problems and the place of Calculus of Variations in it | PDF unavailable |
| 2 | Lec2-Part II-Classification of optimization problems and the place of Calculus of Variations in it | Download Verified |
| 3 | Lec3-Part I - Genesis of Calculus of Variations | Download Verified |
| 4 | Lec4-Part II - Genesis of Calculus of Variations | Download Verified |
| 5 | Lec5-Part I - Formulation of Calculus of Variations problems in geometry and mechanics and design | Download Verified |
| 6 | Lec6-Part II - Formulation of Calculus of Variations problems in geometry and mechanics and design | Download Verified |
| 7 | Lec7-Part I - Unconstrained minimization in one and many variables | Download Verified |
| 8 | Lec8-Part II - Unconstrained minimization in one and many variables | Download Verified |
| 9 | Lec9-Part I - Constrained minimization KKT conditions | Download Verified |
| 10 | Lec10-Part II - Constrained minimization KKT conditions | Download Verified |
| 11 | Lec11-Part I - Sufficient conditions for constrained minimization | Download Verified |
| 12 | Lec12-Part II - Sufficient conditions for constrained minimization | Download Verified |
| 13 | Lec13-Part I-Mathematical preliminaries function, functional, metrics and metric space, norm and vector spaces | Download Verified |
| 14 | Lec14-Part II-Mathematical preliminaries function, functional, metrics and metric space, norm and vector spaces | Download Verified |
| 15 | Lec15-Function spaces and Gateaux variation | Download Verified |
| 16 | Lec16-First variation of a functional Freche?t differential and variational derivative | Download Verified |
| 17 | Lec17-Part I-Fundamental lemma of calculus of variations and Euler Lagrange equations | Download Verified |
| 18 | Lec18-Part II-Fundamental lemma of calculus of variations and Euler Lagrange equations | Download Verified |
| 19 | Lec19-Extension of Euler-Lagrange equations to multiple derivatives | Download Verified |
| 20 | Lec20-Extension of Euler-Lagrange equations to multiple functions in a functional | Download Verified |
| 21 | Lec 21-Part I-Global Constraints in calculus of variations | PDF unavailable |
| 22 | Lec22-Part II-Global Constraints in calculus of variations | PDF unavailable |
| 23 | Lec23-Part I-Local (finite subsidiary) constrains in calculus of variations | PDF unavailable |
| 24 | Lec 24-Part II-Local (finite subsidiary) constrains in calculus of variations | PDF unavailable |
| 25 | Lec25-Part I-Size optimization of a bar for maximum stiffness for given volume | PDF unavailable |
| 26 | Lec26-Part II-Size optimization of a bar for maximum stiffness for given volume | PDF unavailable |
| 27 | Lec27-Part III-Size optimization of a bar for maximum stiffness for given volume | PDF unavailable |
| 28 | Lec28-Part I-Calculus of variations in functionals involving two and three independent variables | PDF unavailable |
| 29 | Lec29-Part II-Calculus of variations in functionals involving two and three independent variables | PDF unavailable |
| 30 | Lec30-Part I-General variation of a functional, transversality conditions. Broken extremals, Wierstrass-Erdmann corner conditions | PDF unavailable |
| 31 | Lec31-Part II-General variation of a functional, transversality conditions. Broken extremals, Wierstrass-Erdmann corner conditions | PDF unavailable |
| 32 | Lec32-Variational (energy) methods in statics; principles of minimum potential energy and virtual work | PDF unavailable |
| 33 | Lec33-Part I-General framework of optimal structural designs | PDF unavailable |
| 34 | Lec34-Part II-General framework of optimal structural designs | PDF unavailable |
| 35 | Lec35-Optimal structural design of bars and beams using the optimality criteria method | PDF unavailable |
| 36 | Lec36-Invariants of Euler-Lagrange equations and canonical forms | PDF unavailable |
| 37 | Lec37-Noether’s theorem | PDF unavailable |
| 38 | Lec38-Minimum characterization of Sturm-Liouville problems | PDF unavailable |
| 39 | Lec39-Rayleigh quotient for natural frequencies and mode shapes of elastic systems | PDF unavailable |
| 40 | Lec40-Stability analysis and buckling using calculus of variations | PDF unavailable |
| 41 | Lec41-Strongest (most stable) column | PDF unavailable |
| 42 | Lec42-Dynamic compliance optimization | PDF unavailable |
| 43 | Lec43-Electro-thermal-elastic structural optimization | PDF unavailable |
| 44 | 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 | PDF unavailable |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Not Available |
| 2 | Bengali | Not Available |
| 3 | Gujarati | Not Available |
| 4 | Hindi | Not Available |
| 5 | Kannada | Not Available |
| 6 | Malayalam | Not Available |
| 7 | Marathi | Not Available |
| 8 | Tamil | Not Available |
| 9 | Telugu | Not Available |