Methods of Theoretical Mechanics
 
Spring 2017

Syllabus

Tentative: Check Often For Updates

Day Topic:
  Subtopic
Reading   (Bridge Book)
  (Main, Alternate,  Deep)
Due Dates
1
Mon
4/3
Introduction
  Syllabus
  Instructions for Getting Mathematica
 
 
  
2
Wed
4/5
Finding Equations of Motion
  Review Newton's 2nd Law
  Review Vectors
  Review Units & Dimensions
  Solving ODE's by Separating Variables
  Plotting with Mathematica
Taylor 1.3-1.6
Taylor 1.2
 
Boas 8.2
 
     
3
Fri
4/7
Example Using Newton's 2nd Law
  Puck on a 2D Ramp
 
 
HW 1
HW 1 Solutions
4
Mon
4/10
Example Using Newton's 2nd Law
  Puck on a 2D Ramp
  Sensemaking Strategies List
 
 
  
5
Wed
4/12
Finding v(x)
 
 
6
Fri
4/14
Linear Drag Force
  Air Resistance
Taylore 2.2 & 2.3
 
HW 2
HW 2 Solutions
7
Mon
4/17
Drag Force
Power Series
  Calculating Coefficients of a Power Series
  Approximating a Function with a Power Series
  Common Power Series
Taylor 2.4
 
 
 
    
8
Wed
4/19
Conservation of Momentum
Center of Mass
Taylor 3.1
Taylor 3.3
  
9
Fri
4/21
Time Varying Mass
  Deriving Thrust
Taylor 3.2
 
 
HW 3
HW 3 Practice
HW 3 Solutions
10
Mon
4/24
Exam 1
homework/335Sp17exam1.pdf
Exam Solutions
11
Wed
4/26
Rockets
 
 
12
Fri
4/28
Rockets
 
 
HW 4
HW 4 Solutions
13
Mon
5/1
Kinetic Energy of a Pendulum
 
 
14
Wed
5/3
Intro to Lagrangian Mechanics
Principle of Least Action
Generalized Coordinates
Euler Lagrange Equations
Taylor 7.1-7.4
 
 
 
    
15
Fri
5/5
Lagrangian Examples
  Particle on a Cylinder
  Box on a Movable Wedge
Taylor 7.5
 
  
16
Mon
5/8
Cyclic Coordinates
Noether's Theorem
 
Taylor 7.6 & 7.7
  
17
Wed
5/10
Lagrange Multipliers
Taylor 7.10
 
HW 5
HW 5 Solutions
18
Fri
5/12
Method of Undetermined Lagrange Multipliers
 
 
HW 6
HW 6 Solutions
19
Mon
5/15
Intro to Hamiltonian Mechanics
Hamiltonian Examples
Phase Space
Taylor 7.8
 
 
   
20
Wed
5/17
H not equal E
 
 
HW 7
HW 7 Solutions
21
Fri
5/19
Exam 2
 
 
Exam 2 Eq. Sheet
 
22
Mon
5/22
Galilean Boosts
Intro to Spacetime Diagrams
Taylor 15.2
Dray 5.2
  
23
Wed
5/24
Time Dilation
Proper Time
Dray 6.4
Taylor 15.4
Dray 9.1
  
24
Fri
5/26
Length Contraction
Lorentz Transformations
  Relativity Video
Dray 6.3
Taylor 15.5
Dray 2.4
Taylor 15.6
HW 8
HW 8 Solutions
25
Mon
5/29
Memorial Day (No Class)
 
 
26
Wed
5/31
Events on Spacetime Diagrams
Dray Ch. 8
 
27
Fri
6/2
Paradoxes: Pole & Barn
 
 
HW 9
HW 9 Solutions
28
Mon
6/5
Circle & Hyperbola Trig
Dray Ch. 3 & 4
Taylor 15.8
 
29
Wed
6/7
Hyperbola Trig
Spacetime Diagrams
 
 
  
30
Fri
6/9
Energy & Momentum
Review
Dray 9.3 & 9.4
Taylor 15.12
 
 
HW 10
Problem 1 Video
HW 10 Solutions

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