Date 
Topic 
Assignments/Readings/Materials 
Wednesday, Sept 20 
Class Intro: Rules and Regulations What I expect and what you should be expecting from me Important Homework Rules Newtonian Mechanics: Intro 
Read Chapter 1 of Taylor taxtbook
HW1 (Available on Canvas; due Friday Sept 29, at noon) 
Friday, Sept 22 
Velocity Dependent Forces: Derivation of a sensible equation for the drag force Viscous vs. Momentum Drag 
Taylor 2.1, 2.2 
Monday, Sept 25 
Velocity Dependent Forces: Terminal velocity Equations of motion for viscous and momentum drag 
Taylor 2.3, 2.4 
Wednesday, Sept 27 
Velocity Dependent Forces: Projectile motion with drag 
Taylor 2.3, 2.4 A python routine to compute the motion of a projectile with drag Download here 
Friday, Sept 29 
Rocket Motion: Derivation of equation of motion Thrust Liftoff 
Taylor Section 3.2 HW1 due by end of class HW2 (Available on Canvas; due Friday Oct 6, at noon) 
Monday, Oct 2 
Rocket motion Optimization of liftoff mass Systems or particles: Center of Mass Momentum and Angular Momentum 
Taylor Chapter 3 (lecture notes) 
Wednesday, Oct 4 
Systems or particles: Center of mass Linear Momentum Motion fo the center of mass 
Taylor Chapter 3 (lecture notes) 
Friday, Oct 6 
Systems of Particles: Angular Momentum, Torque, and Energy Calculus of Variations: Intro to brachistochrone and functionals 
Taylor Chapter 6 (lecture notes) HW2 due by end of class HW3 (Available on Canvas; due Friday October 13, at noon) 
Monday, Oct 9 
Calculus of Variations: Euler's Equation Shortest path between two points 
Taylor Chapter 6 (lecture notes) 
Wednesday, Oct 11 
Calculus of Variations: The brachistochrone in all its glory 
Taylor Chapter 6 (lecture notes) 
Friday, Oct 13 
Calculus of Variations: The second form of Euler's equation The brachistochrone (again!) Problems 
Taylor Chapter 6 HW3 due by end of class HW4 (Available on Canvas; due Friday October 20, at noon) 
Monday, Oct 16 
Calculus of Variations: Integral and linear constraints Dido's problem 
Taylor Chapter 6 Variational problems solving scheme (here) 
Wednesday, Oct 18 
Lagrangian Mechanics: Hamilton's principle Free particle Simple pendulum 
Taylor Chapter 7 
Friday, Oct 20 
Lagrangian mechanics: Double pendulum 
Taylor Chapter 7 (7.1, 7.2) HW4 due by end of class HW5 (Available on Canvas; due Friday October 27, at noon) 
Monday, Oct 23 
Midterm 

Wednesday, Oct 25 
Lagrangian mechanics: Generalized coordinates Constraints and degrees of freedom  Taylor Chapter 7 
Friday, Oct 27 
Lagrangian mechanics: Force of constraints Lagrange multipliers Time dependent constraints  Taylor Chapter 7 HW5 due by end of class HW6 (Available on Canvas; due Friday November 4, at noon) 
Monday, Oct 30 
Lagrangian & Hamiltonian Mechanics Cyclic generalized variables. Generalized momenta and forces. The Hamiltonian 
Taylor Chapter 7 
Wednesday, Nov 1 
Hamiltonian mechanics The Hamiltonian  Taylor Chapter 7 and 13 
Wednesday, Dec 6 
Final Exam at 6pm (to Be Confirmed) 