Math 211

Index of Hand-outs
(Term 2)


Index of Term 1 Handouts

Date No. Title
10 Jan 22 * Review/Preview (2pp)
12 Jan 22 * The Lagrange Interpolation Formula (2pp.)
14 Jan 22 * The Lagrange Interpolation Polynomial (Matrix Method)
* The Least Square Method
17 Jan 22 * The Geometry of R^n (2pp.)
19 Jan 22 * Two Distance Problems
21 Jan 22 * Orthogonal Projection; see also Maple graph
24 Jan 22 * Solution of the Two Distance Problems
* Orthogonal Projection Examples (2pp)
* Review of Linear Independence (3pp)
28 Jan 22 * Orthogonal Vectors and Orthogonal Projection
* The Gram-Schmidt Orthogonalization Procedure
* Linear Algebra Commands in MAPLE (Overview of the LinearAlgebra package) (4pp.)
* MAPLE Lab #2 (Linear Algebra) (9pp.)
31 Jan 22 * Orthogonal Matrices
02 Feb 22 * Fourier Approximation
* The Fourier Aproximation of f(x) = 1 - x/Pi (graph)
04 Feb 22 * The Rabbit Problem
07 Feb 22 * Review of Dimensions of Linear Sets
* Matrix Polynomials
09 Feb 22 * Review of Diagonalization
* Diagonalization Theorems (2pp.)
* Evaluating Matrix Polynomials Method I (Diag. case)
11 Feb 22 * Jordan Blocks
* The Jordan Canonical Form
* Evaluating Matrix Polynomials Method I (Non-Diag. case)
14 Feb 22 * Evaluating Matrix Polynomials - Method II
18 Feb 22 * Finding rem(f,g): an example (2pp.)
* The Generalized Remainder Formula
18 Feb 22 * The Lagrange-Sylvester Interpolation Formula (for info only)
28 Feb 22 * Evaluating Matrix Polynomials - Method III
04 Mar 22 * Comparison of the Three Methods
* Discrete Linear Systems
* The Cost of Breeding Rabbits
07 Mar 22 * Fibonacci Numbers
* Phyllotaxis
* Difference Equations as Discrete Linear Systems
09 Mar 22 * The Golden Section
11 Mar 22 * Markov Chains as Discrete Linear Systems
* A Rat Maze (3pp.)
14 Mar 22 * Algebraic and Geometric Multiplicities
16 Mar 22 * The Direct Sum of Subspaces
18 Mar 22 * The Invariance Property
* The Jordan Canonical Form
21 Mar 22 * The Jordan Canonical Form: Examples (2pp)
23 Mar 22 * Generalized Eigenvectors (5pp)
25 Mar 22 * Powers of Complex Numbers (2pp)
* Limits of Matrix Sequences
28 Mar 22 * Power Convergent Matrices (Special Cases)
30 Mar 22 * Power Convergent Matrices
01 Apr 22 * Properties of Constituent Matrices (2pp)
* Simple Eigenvalues
04 Apr 22 * Stochastic Matrices and Markov Chains
* Primitive Stochastic Matrices
06 Apr 22 * Shipping of Commodities (2 pages)
08 Apr 22 * A Rat Maze II (2 pages)
* Course Overview (2 pages)



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