Terms and definitions. Dimensional analysis. Problem set 1 (Chapters 1 and 2). Math for Physicists I: Asymptotic expansions of integrals of non-oscillatory functions. Math for Physicists II: Asymptotic expansion of integrals of oscillatory functions. Math for Physicists III: Asymptotic expansions of sums. Problem set 2 (Chapters 4, 5, and 6). Math for Physicists IV: Approximate solutions of differential equations.

Problem set 3 (Chapter 8). Continuous Symmetries. Problem set 4, Chapter 10. Discrete Symmetries. Problem set 5, Chapter 12. Analytical properties of physical quantities. Problem set 6, Chapter 14. Solutions to the problems.

Warm-up exercises.