Linear Algebra Stuff (Spring 2002)

This page contains 1-page lecture outlines for a Math21b section in spring 2002. The PS files are reduced in size and as distributed in class. Here is a gziped tar ball (8Megs) 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.

Week 1

Tue, Feb. 5'th Syllabus and Linear equations (PDF) In Class Exercice: network problem (PDF) Use of linear algebra (PDF) Graphical solution of the network problem Murphys's law in linear algebra Thu., Feb. 7'th Gauss-Jordan elimination (PDF) Just Lesson 1.3 Friday (PDF) Gauss Jordan elmimination game (Javascript)

Week 2

Tue., Feb. 12'th Linear maps I (PDF) Linear or not ? (HTML) Thu., Feb. 14'th Linear maps II (PDF) Third party Applets: (I), (II), (III), (IV).

Week 3

Tue., Feb. 19'th Linear maps III (PDF) Linear map animation. (GIF) Lense animation (GIF) Thu., Feb. 21'th Image and Kernel (PDF) Error correcting codes (PDF) Image and kernel (GIF)

Week 4

Tue., Feb. 26'th Basis (PDF) Linear Subspaces (PDF) Thu., Feb. 28'th Coordinates (PDF)

Week 5

Tue., Mar. 5'th Review 1. Midterm (PDF) Orthogonality (PDF) Thu., Mar. 7'th Gram-Schmidt and QR decomposition (PDF) Orthogonality review (PDF)

Week 6

Tue., Mar. 12'th Orthogonal matrices (PDF) 4D Cube animation Thu., Mar. 14'th Least Squares and Data Fitting (PDF) Will Crowe win an Oscar? (PDF) Determinant I (PDF) Least Square animation

Week 7

Tue., Mar. 19'th Determinant II (PDF)   Thu., Mar. 21'th Determinant III (PDF) Eigenvalues I (PDF) Hofstadter Butterfly

Week 8

Tue., Apr. 2'th Eigenvalues II (PDF) Eigenvalues III (PDF) Thu., Apr. 4'th Eigenvalues IV (PDF) A markov chain (PDF)

Week 9

Tue., Apr. 9'th Complex Numbers (PDF) Stability (PDF) Thu., Apr. 11'th Review (PDF)

Week 10

Tue., Apr. 16'th Symmetric matrices (PDF)   Thu., Apr. 18'th Continuous dynamical systems I (PDF) Countinous Dynamical systems II (PDF) Ode Applet by Marek Rychlik

Week 11

Tue., Apr. 23'th Nonlinear Dynamical systems (PDF) Shrimp-Shark dynamics Thu., Apr. 25'th Infinite dimensional linear spaces

Week 12

Tue., Apr. 30'th Fourier series   Thu., Mai. 1'th Heat and Wave equation Laplace equation

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