PHYS 326 :: Physics Illinois :: University of Illinois at Urbana-Champaign

Schedule

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Week Date Lecture Readings Homework Problem Session
1
Monday
1/14/2019
       
Tuesday
1/15/2019

Simple Harmonic Oscillator review

Lecture 1

Taylor Chapter 5    
Wednesday
1/16/2019
     

Discussion 1

Solutions

Thursday
1/17/2019

2 DOF vibrations

Lecture 2

SHO notes from phys 325

Taylor Chapter 11

T&M Chapter 12

   
Friday
1/18/2019
       
2
Monday
1/21/2019
Martin Luther King Jr Holiday --- office hours outside Loomis 151
Tuesday
1/22/2019

(Weakly) coupled pendula, beats,

Lecture 3

Taylor 11.3, T&M 12.3

Homework 1 due

Solutions A B

 
Wednesday
1/23/2019
     

Discussion 2

Solutions

Thursday
1/24/2019

The general problem; many dof vibrations, the quadratic lagrangian

Lecture 4

Taylor 11.5, 11.6    
Friday
1/25/2019
       
3
Monday
1/28/2019
       
Tuesday
1/29/2019

Linear algebra of the eigenmodes, normal coords

Lecture 5

T&M 12.5, 12.6

Taylor 11.7

Homework 2 due

Solutions A B

 
Wednesday
1/30/2019
     

Discussion 3

Solutions

Thursday
1/31/2019

Normal coords, symmetries

Lecture 6

     
Friday
2/1/2019
       
4
Monday
2/4/2019
       
Tuesday
2/5/2019

Symmetries continued

Lecture 7

 

Homework 3 due

Solutions A B

 
Wednesday
2/6/2019
       
Thursday
2/7/2019

Forced motion of many DOF systems

Lecture 8

     
Friday
2/8/2019
       
5
Monday
2/11/2019
       
Tuesday
2/12/2019

Begin non-linear dynamics and Chaos

Lecture 9

Example Mathematica notebook

Taylor 12.9

Homework 4 due

Solutions A B

 
Wednesday
2/13/2019
     

Discussion 4

Solutions

Thursday
2/14/2019
Lecture 10 Taylor 12.1-12.6    
Friday
2/15/2019
       
6
Monday
2/18/2019
       
Tuesday
2/19/2019

Lecture 11 (Notes from Lecture 10)

Extra office hours 3-5 in Loomis 237D, 5-7 pm in Loomis 276.

 

Homework 5 A due

Solution

 
Wednesday
2/20/2019
     

Discussion 5

Solutions

Thursday
2/21/2019

Midterm I, in-class. One sheet of notes permitted, writing on only one side.

Must be your own work, no photocopies.

Sample Exam Solution

     
Friday
2/22/2019
       
7
Monday
2/25/2019
       
Tuesday
2/26/2019

Begin rigid body motion

Lecture 12

 Taylor Chapter 10

Homework 5 B due

Solution code

 
Wednesday
2/27/2019
     

Discussion 6

Solutions

Thursday
2/28/2019

Planar rigid body motion, the inertia tensor

Lecture 13

Taylor 10.1-10.4    
Friday
3/1/2019
       
8
Monday
3/4/2019
       
Tuesday
3/5/2019

Principle axes of inertial, Torque-free Euler equations

Lecture 14

 Taylor 10.5-10.8

Homework 6 due

Solutions A B

 
Wednesday
3/6/2019
     

Discussion 7

Solutions

Thursday
3/7/2019

Euler eqns cont. Rotation and orientation matrices

Lecture 15

Taylor 10.8    
Friday
3/8/2019
       
9
Monday
3/11/2019
       
Tuesday
3/12/2019

Rotation and orientation matrices continued, Euler angles 

Lecture 16

Taylor 10.9

Homework 7 due

Solutions A B

 
Wednesday
3/13/2019
     

Discussion 8

Solutions

Thursday
3/14/2019

Analysis of the heavy top

Lecture 17

Taylor 10.10    
Friday
3/15/2019
       
10
Monday
3/18/2019
Spring break
11
Monday
3/25/2019
       
Tuesday
3/26/2019

Begin Hamiltonian mechanics

Lecture 18

Taylor Chapter 13

Homework 8 due

Solution A B

 
Wednesday
3/27/2019
     

Discussion 8

Solutions

Thursday
3/28/2019

Hailtonian mechanics continued, Liouville theorem

Lecture 19

Taylor Chapter 13    
Friday
3/29/2019
       
12
Monday
4/1/2019
       
Tuesday
4/2/2019

Begin: Continuum mechanics, waves on a string

Lecture 20

Taylor 16.1 16.2

Homework 9 due

Solution A B

 
Wednesday
4/3/2019
     

Discussion 9

Solutions

Thursday
4/4/2019

Effects of boundarys

Lecture 21

     
Friday
4/5/2019
       
13
Monday
4/8/2019
       
Tuesday
4/9/2019

Orthogonality of eignemodes, greens function

Lecture 22 

     
Wednesday
4/10/2019
     

Discussion 10

Solutions

Thursday
4/11/2019

midterm II, in-class

Sample exam Solution

     
Friday
4/12/2019
       
14
Monday
4/15/2019
       
Tuesday
4/16/2019

Wave in 2D

Lecture 23

 

Homework 10 due

Solutions A B

 
Wednesday
4/17/2019
     

Discussion 11

Solutions

Thursday
4/18/2019

Stress and strain

Lecture 24

 

Taylor 16.5-16.8    
Friday
4/19/2019
       
15
Monday
4/22/2019
       
Tuesday
4/23/2019

Hookes law and waves in solids

Lecture 25

Taylor 16.9-16.11

Homework 11A due

Solutions

 
Wednesday
4/24/2019
     

Discussion 12

Solutions

Thursday
4/25/2019

Begin fluids

Lecture 26

Taylor 16.12

Homework 11B due

Solutions

 
Friday
4/26/2019
       
16
Monday
4/29/2019
       
Tuesday
4/30/2019

Navier stokes equations and laminar flow

Lecture 27

 

Homework 12

Solutions

Will not be graded.

 
Wednesday
5/1/2019
   

Discussion 14

Solutions

 
Thursday
5/2/2019
Reading Day
Friday
5/3/2019
       
17
Monday
5/6/2019
Regular office hours cancelled this week.      
Tuesday
5/7/2019
Exam office hours: Loomis 222 2-5:30 pm      
Wednesday
5/8/2019
Exam office hours: Loomis 222 5:30-8:30 pm      
Thursday
5/9/2019
Exam office hours: Loomis 222 2-6 pm      
Friday
5/10/2019

Final Exam 8am-11am

Sample Final   Solution