Outline of Course

This course is organized as follows. Section 2 consists of a review of those elements of vector algebra and vector calculus which are helpful in the study of classical dynamics. Section 3 describes the fundamental aspects of Newton's theory of motion. Section 4 investigates one-dimensional motion, including damped oscillatory motion. Multi-dimensional motion is discussed in Section 5. The motions of the Planets in the Solar System are investigated in Section 6. Section 7 discusses two-body problems, such as scattering. Section 8 investigates motion in non-inertial reference frames. The rotation of rigid bodies is analyzed in Section 9. Section 10 investigates Lagrangian dynamics. Section 11 is devoted to Hamiltonian dynamics. Coupled oscillations are investigated in Section 12. Section 13 gives an outline of gravitational potential theory. Section 14 considers the circular restricted three-body problem. Finally, the chaotic pendulum is described in Section 15.