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 GramSchmidt 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
(NonDiag. 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 LagrangeSylvester 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)
