Chapter 1:  Vector Calculus

• Scalar Product and Projections
• Vector Product and Determinants
• Change of Coordinate Systems
• Derivatives of Vectors
• Spherical and Cylindrical Coordinates

 Chapter 2:  1-Dimensional Motion of Point Particle

• Newton's 3 Laws of Motion
• Linear Motion with Constant Force
• Position-Dependent Forces: Potential and Kinetic Energy
• Velocity-Dependent Forces: Resistance, Terminal Velocity

  Chapter 3:  Oscillations

• Harmonic Motion
• Energy Considerations
• Damping
• Forced Harmonic Motion and Resonance

  =>      MIDTERM  I :  Oct 01  (in class)   <=
 
 
 

 Chapter 4:  3-Dimensional Motion of Point Particle

• Work Principle, Conservative Forces
• Potential Energy and DEL-Operator
• Separable Forces and 3-D Projectile Motion
• 2- and 3-D Harmonic Oscillator
• Charged Particle in Electromagnetic Field

 Chapter 5:  Noninertial Reference Systems

• Linear Accelerating Systems
• Rotating Systems
• Dynamics in the Rotating Frame

 Chapter 6:  Gravitation and Central Forces

• Newton's Gravitational Law
• Kepler's 3 Laws of Planetary Motion
• Gravitational Potential and Work Function
• General Central Force Fields
• Rutherford Scattering

   =>        MIDTERM II :  Nov 05  (in class)        <=
 
 
 

 Chapter 7:  Dynamics of Systems of Particles

• Center of Mass and Linear Momentum
• Angular Momentum and Kinetic Energy
• Collisions
• Rocket Motion

Chapter 8:  Lagrangian Mechanics

• Hamilton's Variational Principle
• Generalized Coordinates
• Lagrange Equations for Conservative Systems
• Applications of Lagrange Formalism
• Generalized Momenta and Redundant Coordinates
• Forces of Constraint: Lagrange Multipliers
• D'Alembert's Principle: Generalized Forces
• Hamilton Function and Hamilton's Equations

     =>       FINAL :    Week of Dec 17-21        <=