Some suggested exercises:
Dimensional analysis and scaling:
Page 17: 1, 2, 3, 4, 5
Page 30: 1, 2, 10
Perturbation methods:
Page 100: 2, 8 a), 9, 16
Page 111: 1 b), 4
Page 121: 1 a), i)
Page 141: 2
Variational calculus:
Page 158: 1
Page 175: 2 b), 3, 5, 6
Page 184: 5 d)
Dynamical systems:
Dynamical systems problems.
Partial differential equations:
Partial differential equations problems.
Sturm-Liouville problems:
Sturm-Liouville problems.
Transform theory:
Transform theory problems.
Integral equations:
Integral equations problems.