Math 211

Index of Hand-outs
(Term 2)


Index of Term 1 Handouts

Date No. Title
09 Jan 12 * Review/Preview (2pp)
* The Lagrange Interpolation Formula (2pp.)
12 Jan 12 * The Lagrange Interpolation Polynomial (Matrix Method)
* The Least Square Method
17 Jan 12 * The Geometry of R^n (2pp.)
19 Jan 12 * Two Distance Problems
* Orthogonal Projection; see also Maple graph
* Solution of the Two Distance Problems
23 Jan 12 * Orthogonal Projection Examples (2pp)
* Review of Linear Independence (2pp)
25 Jan 12 * The Gram-Schmidt Orthogonalization Procedure
* Orthogonal Matrices
26 Jan 12 * Fourier Approximation
30 Jan 12 * The Fourier Aproximation of f(x) = 1 - x/Pi (graph)
* The Rabbit Problem
01 Feb 12 * Matrix Polynomials
* Review of Diagonalization
02 Feb 12 * Diagonalization Theorems (2pp.)
03 Feb 12 * Evaluating Matrix Polynomials Method I (Diag. case)
06 Feb 12 * Jordan Blocks
* The Jordan Canonical Form
* Evaluating Matrix Polynomials Method I (Non-Diag. case)
08 Feb 12 * Evaluating Matrix Polynomials - Method II
09 Feb 12 * The Generalized Remainder Formula
* Finding rem(f,g): an example (2pp.)
13 Feb 12 --- The Lagrange-Sylvester Interpolation Formula (for info only)
15 Feb 12 * Evaluating Matrix Polynomials - Method III
* Comparison of the Three Methods
* Discrete Linear Systems
16 Feb 12 * The Cost of Breeding Rabbits
27 Feb 12 * Fibonacci Numbers
* Phyllotaxis
* Difference Equations as Discrete Linear Systems
29 Feb 12 * The Golden Section
* Markov Chains as Discrete Linear Systems
* A Rat Maze (2pp.)
01 Mar 12 09 Tutorial: Linear Algebra Review
10/11 Tutorial: Linear Algebra Review (MAPLE)
12 Tutorial 1: Problems
07 Mar 12 * Algebraic and Geometric Multiplicities
* The Direct Sum of Subspaces
08 Mar 12 * The Invariance Property
12 Mar 12 * The Jordan Canonical Form
14 Mar 12 * The Jordan Canonical Form: Examples (2pp)
15 Mar 12 * Generalized Eigenvectors (4pp)
21 Mar 07 * Powers of Complex Numbers (2pp)
22 Mar 12 * Power Convergent Matrices (Special Cases)
26 Mar 12 * Power Convergent Matrices
29 Mar 12 * Simple Eigenvalues
02 Apr 12 * Stochastic Matrices and Markov Chains
* Primitive Stochastic Matrices
04 Apr 12 * Shipping of Commodities (2 pages)
* A Rat Maze II (2 pages)
11 Apr 12 13/14 Tutorial Problems 2 (2 pages)



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