mathematica examples from the lc undergraduate physics curriculum l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Mathematica examples from the LC undergraduate physics curriculum PowerPoint Presentation
Download Presentation
Mathematica examples from the LC undergraduate physics curriculum

Loading in 2 Seconds...

play fullscreen
1 / 25

Mathematica examples from the LC undergraduate physics curriculum - PowerPoint PPT Presentation


  • 360 Views
  • Uploaded on

Mathematica examples from the LC undergraduate physics curriculum. John Eric Goff Lynchburg College Lynchburg, VA 24501. CS-AAPT Fall 2007 – Radford University Radford, VA 24142. November 3, 2007. LC Physics.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Mathematica examples from the LC undergraduate physics curriculum' - Mia_John


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
mathematica examples from the lc undergraduate physics curriculum

Mathematica examples from the LC undergraduate physics curriculum

John Eric Goff

Lynchburg College

Lynchburg, VA 24501

CS-AAPT Fall 2007 – Radford University

Radford, VA 24142

November 3, 2007

lc physics
LC Physics
  • Small number of physics faculty (2 or 3).
  • We need a niche!
  • We have a computational emphasis.
  • Computational Physics joins theory and experiment to form the new triumvirate in physics.
  • Some form of computation permeates all our courses.
what do we do
What do we do?
  • Intro: Excel (Euler method in second lab), some Mathematica, simulations (Kinetic Books and Physlets)
  • Intermediate: Mathematica (especially Classical Mechanics in 4th semester)
  • Advanced: Mathematica and Full Programming (Computational Physics Course)
intro example 1 st semester
Intro Example (1st Semester)
  • “Curtain of Death” problem (HRW 4-68)
intro lab kirchhoff s rules
Intro Lab – Kirchhoff’s Rules

PASCO

Six equations in six unknowns (currents)!

How do students compare with theory without

spending most of “lab” doing algebra???

use mathematica8
Use Mathematica!
  • Make sure students write down the six equations in six unknowns. Do not skip the physics!

Students evaluate “sol” with their own V and R values.

classical mechanics
Classical Mechanics
  • Taken by sophomores in spring semester.
  • Mathematica is used throughout course.
  • One week of class devoted to Mathematica.
  • Homework and exam questions require numerical solutions.
velocity dependent forces
Velocity-Dependent Forces
  • Thornton and Marion 2-18 (worked fully in class)
  • Softball problem uses quadratic air drag.
  • Problem cannot be solved analytically!
phase plots
Phase Plots
  • Thornton and Marion 3-15
  • Underdamped Oscillator
noninertial reference frames
Noninertial Reference Frames
  • Thornton and Marion Example 10.2
  • Hockey Puck on a Merry-Go-Round
electromagnetism
Electromagnetism
  • Griffith’s 3-25
  • Cylinder (radius R) with charge density

σ() = k sin(5)

  • Answer:
quantum mechanics
Quantum Mechanics
  • Griffiths 2.17 (1st ed.)
  • Time evolution of particle in even mixture of ground- and first-excited states of harmonic oscillator potential.
quantum mechanics project
Quantum Mechanics - Project

See Stuart Farrell’s Spring 2005 CS-AAPT talk.

optics
Optics

Fringe patterns on a holographic plate.

optics final exam question
Optics – Final Exam Question

Diffraction intensity for a rectangular aperture.

computational physics
Computational Physics
  • Giordano and Nakanishi “Cream in the Coffee” Problem
  • Animation is a must!
cream in the coffee
Cream in the Coffee

Show the entropy’s progression toward a constant value.

fluid mechanics project
Fluid Mechanics Project

Velocity field of fluid moving around rectangular obstruction.

fluid mechanics project24
Fluid Mechanics Project

Stream function of fluid moving around rectangular obstruction.

fluid mechanics project25
Fluid Mechanics Project

Vorticity of fluid moving around rectangular obstruction.