Transparencies for Talk Delivered as Part of a Panel Discussion at
the March Meeting of the American Physical Socie
Montreal, Quebec, CANADA
25 March 2004
Session W38 (2:30--5:36 PM Room 520E, Palais dex Congres)
Email: david.m.cook@lawrence.edu
Department website: http://www.lawrence.edu/dept/physics
Project website: http://www.lawrence.edu/dept/physics/ccli
Term I | Term II | Term III | |
Freshman | Freshman Studies | Freshman Studies | Elective |
Calculus I* | Calculus II* | Calculus III* | |
Elective | Intro Class Phys* | Intro Mod Phys* | |
Sophomore | Electronics* | Computational Mechanics* | E and M* |
Linear Algebra/ODE* | Elective | Elective | |
Elective | Elective | Elective | |
Junior | Quantum Mechanics* | Advanced Lab* | Physics Elective* |
Elective | Elective | Elective | |
Elective | Elective | Elective | |
Senior | Elective% | Physics Elective* | Physics Elective* |
Elective | Elective | Elective | |
Elective | Elective | Elective |
Introduces symbolic and numerical computation through examples drawn mainly from classical mechanics but also from classical electromagnetism and quantum mechanics. This course emphasizes computer-based approaches to graphical visualization, the solution of ordinary differential equations, the evaluation of integrals, and the finding of eigenvalues and eigenvectors.
Prerequisites: Introductory Classical Physics, Differential Equations and Linear Algebra.
Wk 01 | Orientation to UNIX, including Text Editor |
Kinematics and Dynamics of Translation and Rotation | |
Impulse and Momentum | |
Work and Kinetic Energy | |
Gravity, Electromagnetic Forces, Friction, Tension | |
WK 02 | Orientation to IDL and TGIF (Basic Capabilities; Visualization) |
WK 03 | Equations of Motion: |
** Constant Force/Torque | |
** Force Dependent only on time | |
** Force Dependent only on position | |
Potential Energy, SHM and Oscillation about Equilibrium | |
Work and Potential Energy in 3D | |
WK 04 | Velocity-Dependent Forces |
Damped and Driven SHM | |
Resonance | |
Coupled Oscillations | |
WK 05 | HOUR EXAMINATION |
Orientation to LaTeX | |
Central Forces, Effective Potential, Orbital Equation | |
Wk 06 | Planets, Satellites, Comets |
MID-TERM READING PERIOD | |
WK 07 | Orientation to MAPLE |
Using MAPLE to Solve ODEs | |
Algorithms to Solve ODEs Numerically | |
WK 08 | Using IDL to Solve ODEs Numerically |
WK 09 | HOUR EXAMINATION |
Symbolic Evaluation of Integrals | |
WK 10 | Algorithms to Evaluate Integrals Numerically |
Using IDL to Evaluate Integrals Numerically |
Treats computational approaches to problems in physics with particular emphasis on finite difference and finite element methods for solving partial differential equations as they arise in electromagnetic theory, fluid mechanics, heat transfer, and quantum mechanics, and on techniques for graphical visualization of the solutions.
Prerequisites: Computational Mechanics.
COMPUTATION AND PROBLEM SOLVING
IN UNDERGRADUATE PHYSICS (CPSUP)
* | 1. | Overview of Materials |
* | 2. | Introduction to IDL |
3. | Introduction to MATLAB | |
4. | Introduction to MACSYMA | |
* | 5. | Introduction to MAPLE |
6. | Introduction to Mathematica | |
* | 7. | Introduction to Programming in FORTRAN and/or C |
* | 8. | Introduction to Numerical Recipes |
* | 9. | Solving ODEs |
10. | Introduction to LSODE | |
* | 11. | Evaluating Integrals |
* | 12. | Finding Roots |
* | A. | Introduction to LaTeX |
* | B. | Introduction to TGIF |
* | Included in version used at Lawrence |
(To be locally written following a supplied template)