1. A Review / 2. Vectors / 3. Vector Calculus / 4. Complex Numbers / 5. Differential Equations / 6. Partial Differential Equations / 7. Eigenvalue Problems / 8. Orthogonal Functions / 9. Matrix Formulation of the Eigenvalue Problem / 10. Variational Principles

The book provides a bridge from courses in general physics to the intermediate-level courses in classical mechanics, electrodynamics and quantum mechanics. The author bases the mathematical discussions on specific physical problems to provide a basis for developing mathematical intuition.