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

Schedule

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Week Date Lecture Readings Homework Problem Session
1
Monday
8/26/2019
       
Tuesday
8/27/2019

Begin Part 1: Many degree-of-freedom vibrations

Simple Harmonic Oscillator review
Lecture 1

Taylor Chapter 5    
Wednesday
8/28/2019
     
 
Thursday
8/29/2019
2 DOF vibrations
Lecture 2 
Taylor Chapter 11 T&M Chapter 12   Discussion 1
Friday
8/30/2019
       
2
Monday
9/2/2019
Labor Day Holiday -- no office hours
Tuesday
9/3/2019
(Weakly) coupled pendula, beats,
Lecture 3
Taylor 11.3, T&M 12.3

Homework 1 due

Solutions A B

 
Wednesday
9/4/2019
     
 
Thursday
9/5/2019
The general problem; many dof vibrations, the quadratic lagrangian
Lecture 4
Taylor 11.5, 11.6   Discussion 2
Friday
9/6/2019
       
3
Monday
9/9/2019
Regular office hours, Loomis 464 3-8 pm      
Tuesday
9/10/2019
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
9/11/2019
     
 
Thursday
9/12/2019
Normal coords, symmetries
Lecture 6
    Discussion 3
Friday
9/13/2019
       
4
Monday
9/16/2019
Office hours, Loomis 464 3-8 pm      
Tuesday
9/17/2019
Symmetries continued
Lecture 7 Notes
  Homework 3 due
Solutions A B
 
Wednesday
9/18/2019
       
Thursday
9/19/2019
Symmetries continued: infinite crystal chain
Lecture 8
    Discussion 4
Friday
9/20/2019
       
5
Monday
9/23/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
9/24/2019
Forced motion of many DOF systems
Lecture 9
Taylor 12.9

Homework 4 due

Solutions A B

 
Wednesday
9/25/2019
     
 
Thursday
9/26/2019

Begin part II: non-linear dynamics and chaos

Lecture 10

Taylor 12.1-12.6   Discussion 5
Friday
9/27/2019
       
6
Monday
9/30/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
10/1/2019
Lecture 11
 
 

Homework 5 due

Solutions A B

 
Wednesday
10/2/2019
Extra office hours    
 
Thursday
10/3/2019

Midterm I, in-class. One sheet of notes permitted, writing on only one side.
Must be your own work, no photocopies.

Covers material from Part 1, including lectures 1-9, HW 1-5

Last semester's exam

     
Friday
10/4/2019
       
7
Monday
10/7/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
10/8/2019
Begin part III:  rigid body motion
Lecture 12
Taylor Chapter 10    
Wednesday
10/9/2019
     
 
Thursday
10/10/2019
Planar rigid body motion, the inertia tensor
Lecture 13
Taylor 10.1-10.4   Discussion 6
Friday
10/11/2019
       
8
Monday
10/14/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
10/15/2019
Principle axes of inertial, Torque-free Euler equations
Lecture 14
Taylor 10.5-10.8

Homework 6 due

Solutions A B
 

 
Wednesday
10/16/2019
     
 
Thursday
10/17/2019
Euler eqns cont. Rotation and orientation matrices
Lecture 15
Taylor 10.8   Discussion 7
Friday
10/18/2019
       
9
Monday
10/21/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
10/22/2019
Rotation and orientation matrices continued, Euler angles
Lecture 16
Taylor 10.9

Homework 7 due

Solutions A B

 
Wednesday
10/23/2019
     
 
Thursday
10/24/2019
Analysis of the heavy top
Lecture 17
Taylor 10.10   Discussion 8
Friday
10/25/2019
       
10
Monday
10/28/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
10/29/2019

Begin Part IV: Hamiltonian mechanics
Lecture 18

Taylor Chapter 13 Homework 8 due
Solutions A B
 
Wednesday
10/30/2019
     
 
Thursday
10/31/2019
Hailtonian mechanics continued, Liouville theorem
Lecture 19
Taylor Chapter 13   Discussion 9
Friday
11/1/2019
       
11
Monday
11/4/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
11/5/2019

Begin Part V: Continuum mechanics.

Waves on a string
Lecture 20

Taylor 16.1 16.2

 

Homework 9 due
Solutions A B

 
Wednesday
11/6/2019
     
 
Thursday
11/7/2019
Effects of boundarys
Lecture 21
   

Discussion 10

Solution and correction

Friday
11/8/2019
       
12
Monday
11/11/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
11/12/2019
Orthogonality of eigenmodes, greens function
Lecture 22
     
Wednesday
11/13/2019
     
 
Thursday
11/14/2019
Midterm II, in-class
Last semester's exam   Exam 2 solution
    Discussion 11
Friday
11/15/2019
       
13
Monday
11/18/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
11/19/2019
Waves in 2D
Lecture 23
  Homework 10 due
Solutions A B
 
Wednesday
11/20/2019
     
 
Thursday
11/21/2019
Stress and strain
Lecture 24
Taylor 16.5-16.8   Discussion 12
Friday
11/22/2019
       
14
Monday
11/25/2019
Fall break
15
Monday
12/2/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
12/3/2019
Hooke's law and waves in solids
Lecture 25
Taylor 16.9-16.11 Homework 11 due
Solutions A B
 
Wednesday
12/4/2019
     
 
Thursday
12/5/2019
Begin part VI: Fluids
Lecture 26
Taylor 16.12   Discussion 13
Friday
12/6/2019
       
16
Monday
12/9/2019
Office hours, Loomis 204 3-8 pm      
Tuesday
12/10/2019
Navier stokes equations and laminar flow
Lecture 27
 

Homework 12

Solutions

 
Wednesday
12/11/2019
Extra office hours, Loomis 204 6-8 pm.  
 
 
Thursday
12/12/2019
Reading Day     Extra office hours in Discussion time and place.
Friday
12/13/2019

Final Exam 8 am - 11 am, Loomis 144

Spring 2019 Final

Solutions