PHYS 326 :: Physics Illinois :: University of Illinois at Urbana-Champaign
Schedule
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Week | Date | Lecture | Readings | Homework | Problem Session |
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1 |
Monday
8/22/2016 |
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Tuesday
8/23/2016 |
L#1 Review Simple Harmonic Oscillator |
T&M Chapter 3; Taylor Chapter 5 |
HW instructions | ||
Thursday
8/25/2016 |
L#2 linear 2-degree of freedom vibrations; modes, eigenvalue problem |
Taylor Chapter 11 T&M Chapter 12 |
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Friday
8/26/2016 |
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2 |
Monday
8/29/2016 |
Office hours Loomis 322: 2-7 pm. | |||
Tuesday |
L#3 linear 2-degree of freedom vibrations; semi-definite systems |
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HW 1 is due |
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Wednesday
8/31/2016 |
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Thursday
9/1/2016 |
L#4 (weakly) coupled pendula, beats, loaded string 3dof |
T&M §12.3 Taylor §11.3 Taylor 441-444 T&M 475-481 |
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Friday
9/2/2016 |
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3 |
Monday
9/5/2016 |
Labor Day Holiday: Office hours in Loomis, outside 151. | |||
Tuesday
9/6/2016 |
L#5 The Quadratic Lagrangian, MDoF vibrations The linear algebra of the eigenmodes; orthonormality. The modal matrix U |
T&M 481-483 |
HW 2 is due |
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Wednesday
9/7/2016 |
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Thursday
9/8/2016 |
L#6 The modal matrix U, degeneracy, coordinate changes |
T&M section 12.6 Taylor section 11.7 |
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Friday
9/9/2016 |
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4 |
Monday
9/12/2016 |
Office hours Loomis 322: 2-7 pm. | |||
Tuesday
9/13/2016 |
L#7 Coordinate changes, normal coordinates, Symmetries |
HW 3 is due |
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Wednesday
9/14/2016 |
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Thursday
9/15/2016 |
L#8 Symmetries cont. Infinite chain. |
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Friday
9/16/2016 |
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5 |
Monday
9/19/2016 |
Office hours Loomis 322: 2-7 pm. | |||
Tuesday
9/20/2016 |
L#9 Forced motions. |
Taylor 12.9 T&M 4.7 |
HW 4 is due |
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Wednesday
9/21/2016 |
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Thursday
9/22/2016 |
Begin Nonlinear dynamics and chaos. The logistic map. L#10 fixed points of the logistic map, chaos, fractals, phase plane |
T&M 4.3, 4.4 Taylor 487-494 |
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Friday
9/23/2016 |
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6 |
Monday
9/26/2016 |
Office hours Loomis 322: 2-7 pm. | |||
Tuesday
9/27/2016 |
L#11 , Phase plane Numerical solutions of ODEs, driven damped pendulum |
T&M 4.6 Taylor 12.2 – 12.8 |
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Wednesday
9/28/2016 |
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Thursday
9/29/2016 |
In-class midterm I Vibrations & modes Last year's exam Solution |
lectures1-9, HW 1-5A, Disc 1-5 | |||
Friday
9/30/2016 |
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7 |
Monday
10/3/2016 |
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Tuesday
10/4/2016 |
L#12 Begin rigid body dynamics
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T&M sections 1.4-1.7 Taylor 10.2-10.5 T&M 11.3-11.5 Taylor 10.8 T&M 11.9, 11.10 |
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Wednesday
10/5/2016 |
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Thursday
10/6/2016 |
L#13 Inertia tensor for a rigid body, parallel axis theorem; |
Taylor 10.9, 10.10 T&M 11.8, 11.10 |
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Friday
10/7/2016 |
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8 |
Monday
10/10/2016 |
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Tuesday
10/11/2016 |
L#14 Euler's equations | ||||
Wednesday
10/12/2016 |
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Thursday
10/13/2016 |
L#15 Euler's equations cont. Rotation matrices; | ||||
Friday
10/14/2016 |
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9 |
Monday
10/17/2016 |
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Tuesday
10/18/2016 |
L#16 Rotation matrices; Euler angles |
Taylor 10.10, T&M 11.11 | |||
Wednesday
10/19/2016 |
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Thursday
10/20/2016 |
L#17 Dynamics of the top, precession, nutation. |
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Friday
10/21/2016 |
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10 |
Monday
10/24/2016 |
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Tuesday
10/25/2016 |
L#18. Hamiltonian systems, Poisson brackets | Taylor Chpt 13, T&M 7.10-7.12 | |||
Wednesday
10/26/2016 |
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Thursday
10/27/2016 |
L#19. Liouville's theorem. Begin Continuum Mechs: Waves in strings |
T&M 13.1 -13.8 Taylor 16.1 16.2 |
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Friday
10/28/2016 |
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11 |
Monday
10/31/2016 |
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Tuesday
11/1/2016 |
L#20 Other 1-d systems; dispersion, boundaries & eigenfunctions, |
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Wednesday
11/2/2016 |
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Thursday
11/3/2016 |
L#21 Other 1-d systems | ||||
Friday
11/4/2016 |
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12 |
Monday
11/7/2016 |
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Tuesday
11/8/2016 |
In-class midterm II Last year's exam Solutions Lectures 9 – Lecture 18 |
No HW due | |||
Wednesday
11/9/2016 |
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Thursday
11/10/2016 |
L#22 Energy, Greens function; Two-dimensions: membranes; |
Problem session 12 |
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Friday
11/11/2016 |
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13 |
Monday
11/14/2016 |
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Tuesday
11/15/2016 |
L#23 Two-dimensions: membranes; 3D waves. | Taylor 16.4-16.7 | |||
Wednesday
11/16/2016 |
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Thursday
11/17/2016 |
L#24 Stress, strain, moduli, stress and strain tensors, Hooke's law | Taylor 16.10, 16.11 |
Problem session 13 |
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Friday
11/18/2016 |
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14 |
Monday
11/21/2016 |
Fall Break | |||
15 |
Monday
11/28/2016 |
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Tuesday
11/29/2016 |
L#25 Hooke's law and Elastic waves. |
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Wednesday
11/30/2016 |
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Thursday
12/1/2016 |
L#26 Begin Fluids D/Dt, acoustics, Bernouilli Eqn |
Taylor section 16.12 | Problem session 14 | ||
Friday
12/2/2016 |
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16 |
Monday
12/5/2016 |
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Tuesday
12/6/2016 |
L#27 Viscous laminar flows |
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Wednesday
12/7/2016 |
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Thursday
12/8/2016 |
Reading Day | ||||
Thursday
12/15/2016 |
Final Exam: 7-10 pm, Loomis 143, 144, 147 |