Location: ONLINE video from the Paradigms Studio
Meeting Times: Asynchronous delivery ~7 hrs per week. You will be asked to meet online during the T, Th 12h00-13h50 window.

Spring 2020 Instructor: Matt Graham (web)
Email: graham --AT-- physics.oregonstate.edu
Phone: 541.737.4386
Math Methods Interlude: Corinne Manogue

Course TA: George W. Mattson
Email: mattsong --AT--onid.oregonstate.edu
Course LA: Alex Eisenhauer
Course LA: Ryan Tollefsen


5/5- Thanks for all the excellent contributions. [Online course content is now removed, available upon request.]

Class Content Delivery Modes: [1] Video Library: 5-50 min .mp4 videos filmed in the Paradigm Studio linked belows (v) [a] Notes(n): make your own note from the videos! Terse instructor video-notes called 'g-notes' are provided as one helpful aid. [b] Slides Decks(s): slide decks reinforce and repeat much of the content in video. [2] Zoom-Workshops: Group-team workshops, one or two times per week. [3] Study Groups and Other Resources: these are in addition to office hours.

Press reload. Schedule is tentative and course notes/links will be updated daily.

Daily
Content
Items Covered Problem Sets & Reading
Optional Extra Resources & Video Aids

M1:

Introduction to Oscillations
ODEs of physical systems
Representations of SHM
o Using complex numbers, phases, etc.
o Oscillations and differential equations

Optional review of
complex numbers
G: 1.1-1.2, 1.4(review)
M: 8.1,8.6: ODE Review

Class Texts: [G]: Primary references: H. Georgi, 2nd Edition, Physics of Waves. Class covers aspects of Chapters, 1-2, 5.6, 7-9.
[M]: Math Methods use Manogue and Dray: Geometry of Linear Algebra, [EM] and [CM]: Access to Griffiths[EM] and Taylor[CM] (do NOT purchase for this class).

T1:

Free motion of an oscillator
o Newton's law for an oscillator
o SHO: solutions, initial conditions

[1st online ZOOM Workshop]

Complex number quiz (optional)
G: 1.2, 1.6-1.7
CM: 5.1 - 5.4(optional)

 

W1:


Pendulum, circuits and springs
ODE Review, Math Methods (Manogue)
Damped harmonic systems.

G: 1.6-1.7, 2.1
PS#1a due 10 pm upload


R1:

Damped harmonic systems.
Forced motion of a damped oscillator
o Forced oscillations & resonance

Optional Zoom-Workshop. RLC circuit simulation, have the app running on your computer.

G: 1.6-1.7, 2.1-2.2

 

F1:

Forced motion of a damped oscillator
o Harmonic response of LRC series circuit
ODE Review, Math Methods (Manogue)


G: 2.1-2.3
T 5.5-5.7
PS#1b due



M2:

o Impedance, admittance, phase shifts analysis
o Solution for a damped, driven SHO (mechanical and LCR circuit)

LRC Circuit Lab Instructions
G: 2.1-2.4

 

T2:

Circuit Resonance Investigation

Optional Zoom-Workshop.

G: 2.2-2.4
LRC Report Rubric

Manuscript Tips, Ideas, Guidelines


W2:

Forced motion of a damped oscillator
o Resonance, high and low frequency behavior. Radios.

 G: 2.2-2.4, 5.6
PS#2a due

 

R2:


Required Zoom-Workshop.
Peer Review of results II

G: 2.2-2.4, 5.6

 

F2:


Review of materials
-RC circuit, Lorentz model extension
Lab Guidance

PS#2b due

 

M3:

Math Methods A: Vector Spaces

M: Chapter 5

  

T3:

Math Methods B,see module

M: Fourier Series

 

  

W3:


Math Methods C: Fourier series

 M: Fourier Series
Lab Manuscript Due 10 pm
 Fourier series generating PhET applet: (.jar)
R3:

Fourier Workshop, the FFT Demo Implusle lab
Optional Zoom: all teams at 12pm

Fourier Circuits and Waves

 G: 8.1
LRC Impulse Demo Instructions

Mathematica: Triangle & Square Wave Fourier Series

Fourier Methods Tip & Tricks (option extension for Zoom FFT workshop)

F3:

Intro to Wave Mechanics
Waves on string simulation (PhET )
Reflection and transmission coefficients
Non dispersive wave equation

PS3 Due

G: 8.2 (optional. 8.3)
G: 9.1

Web-link of the day: optional deeper perspective on Fourier Series using phasor diagrams

Animation: longitudinal vs. transverse waves
Tansverse waves video.

M4:

Reflection and transmission coefficients

An alternate solution route for 4a2

G: 5.6, 9.2
Wave Propagation Lab Instructions


T4:

Lab & Discussion: Coax Cable Lab Workshop
Required Zoom[data collection]


Video: Transmission line AC impedance
Lab Resources: Coax cable parameters

W4:

Reflection and transmission coefficients - voltage waves

PS4a Due

 Video: Transmission line(2nd part) reflections

R4:


Math Methods D: Separation of Variables, PDEs

 

module D

(M) Ch. 11

  
F4:

Math Methods E: Separation of Variables, PDEs Sturm Liouville
PDE Classification, updated

 PS4b Due
  

M5:

Wave Propagation PDEs


Waves on string simulation (PhET )

T5:

Standing Wave Lab
Excel file

 G: 8.4
Standing wave demo lab

Standing waves (.nb )

W5:

Transmission Line PDEs
Wave Propagation & Attenuation

PS5a Due

 

EM Wave Equation (optional look ahead)
Alternative coax impedance derivation

Optional: Transmission line PDEs from Eindhoven (the engineering way)

R5:

Wave Propagation & Attenuation
Wave Propagation and energy
Regular lecture + Zoom lecture

 

 G: 8.2

Mathematica: damping reflections (.nb )
Tri Wave Animation (.nb)

F5:

Review session for PH424

PS5b Due

 

M6:
Final Exam
7pm

 



Tentative course calendar:

~ March to May 2020 ~

Mon

Tue

Wed

Thu

Fri

30
Simple Harmonic Motion
- 4 representations

30
- Free motion of an oscillator
-Free damped oscillations

1
-PS 1a due
-driven SHM and circuits

2
Admittance, Impedance, phase shifts.

3
-PS 1b due
Forced motion of a damped oscillator
LCR circuit resonance

6
Forced motion & resonances

7
Lab Discussion: the LCR circuit

8
-PS 2a due
Lab Data Workshop.
Multiple Driving Frequencies & Superposition

9

Lab data workshop/ presentation

10
-PS 2b due

13
[Math Methods]

14
[Math Methods]
 

15
[Math Methods]
Formal LRC 
Manuscript Report Due

16
Intro to Wave Mechanics
ABCD forms

17
Demo lab.
Wave Equation Fourier Solutions
-PS3 due

20
Pre-Lab
-Wave phenomena,  demo lab
-Reflection & Transmission

21
Workshop & discussion: Coax Cable Lab Workshop

22
-PS 4a due
-Reflection & Transmission

23
[Math Methods]

24
-PS4b due
[Math Methods]

27
Standing Waves

28
Wave Propagation

29
-PS5a due
Waves on string simulation

30
Wave Energy:
kinetic vs. potential
ennergy density

1
-PS5b due

Paradigms 424 Review

4
FINAL EXAM
7-9:30 pm
PH427 begins

5

6

7

8