Multivariable calculus Stuff (Fall 2001)

This page contains 1-page lecture outlines for the physics section of Math21a (Fall 2001). The PS files are reduced in size and as distributed in class. Here is a gziped tar ball (10Megs) containing all PS files. The documents on this page were written in LaTex on linux, an open source unix flavour. The graphics was produced with Mathematica and Povray. The applets were written in Java.
1/10/2002 Review on integral theorems. Review handout (2 pages PDF) People (2 pages PDF) Illustrations shown in class

Week/Day Monday Wednesday Friday
Week 1
9/17/2001
Space (pdf)
Graphics
9/19/2001
Curves (pdf)
Graphics
9/21/2001
Vectors (pdf)
Graphics
Week 2
9/24/2001
Motion (pdf)
Graphics
9/26/2001
Work (pdf)
Graphics
9/28/2001
Torque (pdf)
Graphics
Week 3
10/1/2001
Potential (pdf)
Graphics
10/3/2001
Vector Field (pdf)
Graphics and Applet
10/5/2001
Lineintegral (pdf)
Third party applets
Week 4
10/8/2001
Columbus Day
10/10/2001
Review (pdf)
10/12/2001
Linear Approximations (pdf)
Week 5
10/15/2001
Directional derivative (pdf)
10/17/2001
Matrices (pdf)
10/19/2001
Quadratic approximation (pdf)
Beethoven
Week 6
10/22/2001
Critical Points (pdf)
10/24/2001
Constrained Extrema (pdf)
About Dice
10/26/2001
Chain rule (pdf)
Spider
Week 7
10/29/2001
2D Integrals (pdf)
10/31/2001
3D Integrals (pdf)
3D Integration
11/2/2001
Spherical coordinates (pdf)
Week 8
11/5/2001
Inertia (pdf)
11/7/2001
Green's theorem (pdf)
Planimeter Applet
11/9/2001
Surfaces (pdf)
Week 9
11/12/2001
Veterans day
11/14/2001
Review
Review (pdf)
11/16/2001
Surfaceintegral (pdf)
The uv-Map
Week 10
11/19/2001
Flux integral (pdf)
Flux animation
11/21/2001
3D scanning (pdf) Appendix
3D scanning
11/23/2001
Thanksgiving
Week 11
11/26/2001
Stokes Theorem
Stokes (pdf)
The dynamo
11/28/2001
Divergence Theorem
Gauss (pdf)
Problem set (pdf)
11/30/2001
Integral Theorems (pdf)
Green in discrete Space
Week 12
12/3/2001
ODE's
Ode's (pdf)
Lorentz system
12/5/2001
PDE
PDE's (I) (pdf)
Heat and Wave eqn
12/7/2001
PDE (II) (pdf)
A spherical harmonics
Week 13
12/10/2001
Math21a with Mathematica
Mathematica (pdf)
Mathematica source files
12/12/2001
Raytracing (pdf)
Povray Source files
End of Semester
12/13/2001
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