Date 
No. 
Title 
09 Jan 18  *

Review/Preview (2pp)

 *

The Lagrange Interpolation Formula (2pp.)

12 Jan 18  *

The Lagrange Interpolation Polynomial
(Matrix Method)

16 Jan 18  *

The Least Square Method

18 Jan 18  *

The Geometry of R^n (2pp.)

19 Jan 18  *

Two Distance Problems

23 Jan 18  *

Orthogonal Projection;
see also Maple graph

 *

Solution of the Two Distance Problems

 *

Orthogonal Projection Examples (2pp)

25 Jan 18  *

Review of Linear Independence (3pp)

30 Jan 18  *

Linear Algebra Commands in MAPLE
(comparing the linalg/LinearAlgebra packages) (4pp.)

 *

Orthogonal Vectors and Orthogonal Projection

 *

The GramSchmidt Orthogonalization Procedure

 *

Orthogonal Matrices

01 Feb 18  *

Fourier Approximation

 *

The Fourier Aproximation of f(x) = 1  x/Pi
(graph)

02 Feb 18  *

The Rabbit Problem

 *

Matrix Polynomials

06 Feb 18  *

Review of Diagonalization

08 Feb 18  *

Diagonalization Theorems (2pp.)

 *

Evaluating Matrix Polynomials Method I
(Diag. case)

9 Feb 18  *

Jordan Blocks

 *

The Jordan Canonical Form

 *

Evaluating Matrix Polynomials Method I
(NonDiag. case)

13 Feb 14  *

Evaluating Matrix Polynomials  Method II

15 Feb 18  *

Finding rem(f,g): an example (2pp.)

16 Feb 18  *

The Generalized Remainder Formula

 *

The LagrangeSylvester Interpolation
Formula
(for info only)

27 Feb 18  *

Evaluating Matrix Polynomials  Method III

 *

Comparison of the Three Methods

02 Mar 18  *

Discrete Linear Systems

 *

The Cost of Breeding Rabbits

06 Mar 18  *

Fibonacci Numbers

 *

Phyllotaxis

 *

Difference Equations as Discrete Linear Systems

08 Mar 18  *

The Golden Section

09 Mar 18  *

Markov Chains as Discrete Linear Systems

 *

A Rat Maze (3pp.)

13 Mar 18  *

Algebraic and Geometric Multiplicities

15 Mar 18  *

The Direct Sum of Subspaces

16 Mar 18  *

The Invariance Property

 *

The Jordan Canonical Form

20 Mar 18  *

The Jordan Canonical Form: Examples (2pp)

21 Mar 18  *

Tutorial: Linear Algebra Review

 *

Tutorial: Solving Linear Equations (Maple)

22 Mar 18  *

Generalized Eigenvectors (5pp)

27 Mar 14  *

Powers of Complex Numbers (2pp)

 *

Limits of Matrix Sequences

29 Mar 18  *

Power Convergent Matrices (Special Cases)

 *

Power Convergent Matrices

03 Apr 18  *

Properties of Constituent Matrices (2pp)

05 Apr 18  *

Simple Eigenvalues

 *

Stochastic Matrices and Markov Chains

 *

Primitive Stochastic Matrices

06 Apr 18  *

Shipping of Commodities (2 pages)

 *

A Rat Maze II (2 pages)

 *

Course Overview (2 pages)
