Mathematical Tools: Scalars; Vectors; Operations;
Differentiation and Integration of Vectors; Most useful Coordinate
Systems in two and three dimensions; Taylor's Series; Linear
Differential Equations.
Mathematical Tools: Scalars; Vectors; Operations;
Differentiation and Integration of Vectors; Most useful Coordinate
Systems in two and three dimensions; Taylor's Series; Linear
Differential Equations.
Chapter 1, Appendices A, C, and F.
Newtonian Mechanics of a Single Particle: Newton's Laws;
Reference Frames; Equation of Motion; Friction; Projectile Motion;
Statics; Linear and Angular Momentum; Energy; Conservation Theorems.
Chapter 2.
Oscillations: Undamped and Damped Harmonic Oscillators in
One and two Dimensions; Phase Space and Phase Diagrams; Driven
Oscillators; Fourier Series.
Chapter 3.
Nonlinear Oscillations and Chaos: Types of Nonlinear
Systems; Phase Diagrams; the Plane Pendulum.
Chapter 4.
Gravitation: Newton's Law of Gravitation; Potential;
Gauss's Law.
Chapter 5.
Central Force Motion: Two-Particles Problem Reduced to a
One-Particle Equivalent; Effective Potential; Planetary Motion and
Kepler's Laws; Orbits and Their Stability.
Chapter 8.
Systems of Particles: Center of Mass; Linear and Angular
Momentum of a System; Energy of a System; Elastic and Inelastic
Collisions of Two Particles.
Chapter 9.
Motion in a Noninertial Reference Frame:
Angular Velocity; Rotating Coordinate Systems; Centrifugal and
Coriolis Forces; Motion Relative to the Earth.
Chapter 10.