Variational Calculus and its applications in Control Theory and Nanomechanics S8P8H0ENMK

URI	`m2://res/S8P8H0ENMK`
Kind	course
Creators	Sarthok Sircar (instructor)
Date	2022-10-11
MSC	49-XX
Scope	in

Expressions

e1: edition

Language	en
Date	2022-10-11

m1: page, IIIT Delhi (record). nptel 111106144
m2: page, 2022-10-11 (record). nptel 111106144

Contents

part 1: Week 1
session 1: Introduction / Euler Lagrange Equations - Part 1
session 2: Introduction / Euler Lagrange Equations - Part 2
session 3: Introduction / Euler Lagrange Equations - Part 3
session 4: Introduction / Euler Lagrange Equations - Part 4
session 5: Introduction / Euler Lagrange Equations - Part 5
session 6: Introduction / Euler Lagrange Equations - Part 6
part 2: Week 2
session 7: Special cases / Invariance, Existence and Uniqueness of solutions - Part 01
session 8: Special cases / Invariance, Existence and Uniqueness of solutions - Part 02
session 9: Special cases / Invariance, Existence and Uniqueness of solutions - Part 03
session 10: Special cases / Invariance, Existence and Uniqueness of solutions - Part 04
session 11: Special cases / Invariance, Existence and Uniqueness of solutions - Part 05
session 12: Special cases / Invariance, Existence and Uniqueness of solutions - Part 06
part 3: Week 3
session 13: Generalization / Numerical solution of Euler Lagrange Equations - Part 01
session 14: Generalization / Numerical solution of Euler Lagrange Equations - Part 02
session 15: Generalization / Numerical solution of Euler Lagrange Equations - Part 03
session 16: Generalization / Numerical solution of Euler Lagrange Equations - Part 04
session 17: Generalization / Numerical solution of Euler Lagrange Equations - Part 05
session 18: Generalization / Numerical solution of Euler Lagrange Equations - Part 06
part 4: Week 4
session 19: Isoperimetric Problems - Part 01
session 20: Isoperimetric Problems - Part 02
session 21: Isoperimetric Problems - Part 03
session 22: Isoperimetric Problems - Part 04
session 23: Isoperimetric Problems - Part 05
session 24: Isoperimetric Problems - Part 06
part 5: Week 5
session 25: "Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 01"
session 26: "Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 02"
session 27: "Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 03"
session 28: Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 04
session 29: Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 05
session 30: Problems with Holononomic and non- Holononomic Constraints, Variable Endpts - Part 06
part 6: Week 6
session 31: Broken extremals / Hamiltonian Formulation - Part 01
session 32: Broken extremals / Hamiltonian Formulation - Part 02
session 33: Broken extremals / Hamiltonian Formulation - Part 03
session 34: Broken extremals / Hamiltonian Formulation - Part 04
session 35: Broken extremals / Hamiltonian Formulation - Part 05
session 36: Broken extremals / Hamiltonian Formulation - Part 06
part 7: Week 7
session 37: Hamilton-Jacobi Equations - Part 01
session 38: Hamilton-Jacobi Equations - Part 02
session 39: Hamilton-Jacobi Equations - Part 03
session 40: Hamilton-Jacobi Equations - Part 04
session 41: Hamilton's equations, Symplectic Maps, Hamilton-Jacobi Equations, Conservative systems,
session 42: Hamilton-Jacobi Equations - Part 06
part 8: Week 8
session 43: Noether's Theorem / Introduction to Second Variation - Part 01
session 44: Noether's Theorem / Introduction to Second Variation - Part 02
session 45: Noether's Theorem / Introduction to Second Variation - Part 03
session 46: Noether's Theorem / Introduction to Second Variation - Part 04
session 47: Noether's Theorem / Introduction to Second Variation - Part 05
session 48: Noether's Theorem / Introduction to Second Variation - Part 06
part 9: Week 9
session 49: Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 01
session 50: Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 02
session 51: Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 03
session 52: Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 04
session 53: Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 05
session 54: Conjugate points / Jacobi Accessory Equations / Introduction to Optimal Control Theory - Part 06
part 10: Week 10
session 55: Constrained Optimization in Optimal Control Theory - Part 01
session 56: Constrained Optimization in Optimal Control Theory - Part 02
session 57: Constrained Optimization in Optimal Control Theory - Part 03
session 58: Constrained Optimization in Optimal Control Theory - Part 04
session 59: Constrained Optimization in Optimal Control Theory - Part 05
session 60: Constrained Optimization in Optimal Control Theory - Part 06
part 11: Week 11
session 61: Introduction to Nanomechanics - Part 01
session 62: Introduction to Nanomechanics - Part 02
session 63: Introduction to Nanomechanics - Part 03
session 64: Introduction to Nanomechanics - Part 04
session 65: Introduction to Nanomechanics - Part 05
session 66: Introduction to Nanomechanics - Part 06
part 12: Live Session
session 67: Live Session 27-02-2021
session 68: Live Session 13-02-2022
session 69: Live Session 29-03-2022

Catalogue records

nptel: 111106144 (manifestation)
nptel_video: 111106144 (manifestation)