# Methods of Theoretical Mechanics Spring 2017

### Tentative: Check Often For Updates

Day Topic:
Subtopic
(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

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

Last Updated 1/2017,  webpage created by Liz Gire,