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Analytical Mechanics

Schedule Fall 2021-2022 [mobile / iPad version]


30 August - 3 September Monday 30 First day of our class: 11:00 am @SC 203	Composing and handing in assignments on Moodle Pre-requisites and goals Space and Time [1.1, 1.2] Newton's Laws [1.3, 1.4, 1.5] Newton in Cartesian and Cylindrical coordinates [1.6, 1.7] OC - Outside of Class activities
6 September - 10 September Monday 6 Labor Day (no classes)	"Air" resistance [2.1] Linear resistance [2.2, 2.3]
13 September - 17 September	Quadratic resistance [2.4] A charge in a magnetic field [2.5-2.7]
20 September - 24 September	Air resistance and energy conservation Linear and Angular Momentum [3.1-3.5] Kinetic and Potential Energy [4.1, 4.2]
27 September - 1 October	Energy in one-dimensional systems [4.6, 4.7] Force as the (neg) gradient of potential energy [4.3, 4.4] Central Forces [4.8] and grad in S-P coords!
4 October - 8 October Friday 8 Quiz: Taylor expansions and DiffEqs OC Sustainability Cookout	Energy of interacting particles [4.9] Simple harmonic motion [5.1, 5.2] Damped oscillations [5.4]
11 October - 15 October	Driven oscillator [5.5] Resonance [5.6] Fourier series [5.7] Any periodic driving force [5.8] Path integrals (like Work)
18 October - 22 October Monday 18 Midterm break through Wed Oct 20	Calculus of variations [6.1] Study guide for exam 1 (midterm exam)
25 October - 29 October Monday 25 Midterm Exam (in class)	Chain rule and integration by parts The Euler-Lagrange equation [6.2] The Brachistochrone [6.3] Lots of variables [6.4] The Lagrangian function [7.1]
1 November - 5 November Friday 5 Two OC opportunities today!	Generalized coordinates and degrees of freedom [7.2, 7.3] Lagrangian mechanics in action [7.5, 7.6, 7.7]
8 November - 12 November	Two bodies with central forces [8.1-8.4] Effective 1-d potenti1al [8.2] Orbits [8.5,8.6,8.7] Non-inertial frames (the tides) [9.1, 9.2]
15 November - 19 November Saturday 20 OC - Goshen Community Orchard fall maintenance	Rotating frames [9.3-9.7]
22 November - 26 November Wednesday 24 Thanksgiving break through Fri Nov 26	Coupled Oscillators [11.1] Coupled oscillators - Lagrangian [11.4] The Paper - Analytical Mechanics
29 November - 3 December Friday 3 Last day of classes	Coupled Oscillators - with matrices [11.2]
6 December - 10 December Monday 6 Reading day Please complete a course evaluation. Tuesday 7 Final exams through Thu Dec 9 Wednesday 8 10:30 AM, In-class portion: Lagrangian problem
13 December - 17 December

schedule