Publisher & Author Provided Web Resources:
       www.laylinalgebra.com
        www.mymathlab.com

Link to a Linear Algebra Tool Kit

Link to a Java Script Pivot and Gauss-Jordan Tool

Link to an Online Matrix Calculator

Link to a Matrix Algebra Tool

Links to Vector Addition Applets:  Link 1; Link 2

Link to Download a Linear Algebra Package (Linear)

Vectors in 2- and 3-Space

Tentative Schedule of Class Sessions:

Class Session #1   (08/31) Real Numbers; Linear Equations; Linear Systems; Equivalent Linear Systems; Examples

Class Session #2   (09/02) Matrix Representation of Linear Systems; Solving Linear Systems

Class Session #3   (09/03) Reduced Echelon Form

Class Session #4   (09/05) Vectors, & Vector Equations; Related Geometry;

Class Session #5   (09/08) Vectors, & Vector Equations (Continued); Vocabulary

Class Session #6   (09/09) Algebraic Properties; Linear Combinations of Vectors                                                          

Class Session #7   (09/11) The Matrix Equation Ax = b

Class Session #8   (09/14) Solution Sets for Homogeneous and Non-Homogeneous Systems

Class Session #9   (09/15) Parametric Vector Form

Class Session #10 (09/16) Linear Independence; More Algebraic Properties

Class Session #11 (09/18) Functions, Transformations, and Mappings; Matrix Transformations

Class Session #12 (09/21) Linear Independence Revisited; Linear Transformations

Class Session #13 (09/22) Linear Transformations

Class Session #14 (09/23) Matrix  of a Linear Transformation

Class Session #15 (09/25) Matrix of a LT; Geometric Transformations; Some Important Properties

Class Session #16 (09/28) Review

Class Session #17 (09/29) Test #1 (Covers Objectives for Chapter 1; No Calculators; No Notes)

Class Session #18 (09/30) Composition of Linear Transformations and Matrix Multiplication;

                                        Special Matrices & Matrix Operations

Class Session #19 (10/02) Matrix Operations & Properties

Class Session #20 (10/04) Matrix Operations & Properties and The Transpose of a Matrix

Class Session #20 (10/06) The Inverse of a Matrix

Class Session #21 (10/07) Elementary Matrices; The Invertible Matrix Theorem

Class Session #22 (10/09) Subspaces of Rⁿ

Class Session #23 (10/12) Subspaces of Rⁿ ; Column Space & Null Space of a Matrix; Some Calculations

Class Session #24 (10/13) Basis and Dimension of a Subspace, Rank of a Matrix

Class Session #25 (10/14) Basis, Dimension, and Rank

Class Session #26 (10/16) Coordinate Systems

Class Session #27 (10/19) Remarks on the Appropriate Use of the Terminology of Linear Algebra

Class Session #28 (10/20) Vector Spaces, Subspaces, Linear Transformations, & Kernel of a Linear Transformation

Class Session #29 (10/21) Review for Test #2

Class Session #30 (10/23) Test #2

Class Session #31 (10/26) Linearly Independent Sets, Bases, Dimension of a Vector Space, Coordinate Systems 

Class Session #32 (10/27) Linearly Independent Sets, Bases, Dimension of a Vector Space, Coordinate Systems

Class Session #33 (10/28) Proof of Theorem 8 (Section 4.4)

Class Session #34 (10/30) Invertible Matrix Theorem Revisited

Class Session #35 (11/02) Change of Basis

Class Session #36 (11/03) Introduction to Determinants

Class Session #37 (11/04) Eigenvectors & Eigenvalues, The Characteristic Equation, Demonstration

Class Session #38 (11/06) Finding Eigenvalues & Eigenvectors

Class Session #39 (11/09) Inner Product; Length of a Vector, & Angle between Vectors

Class Session #40 (11/10) Orthogonal Sets

Class Session #41 (11/11) Affine Transformations & Change of Coordinates

Class Session #42 (11/13) Rotation of Axes, Change of Basis

Class Session #43 (11/16) Cramer's Rule, Volume and Linear Transformations

Class Session #44 (11/17)  Owls & Rats: A Simple Dynamical System (Section 5.6) 

Class Session #45 (11/18) Review

Class Session #46 (11/20) Test #3

Class Session #47 (11/23) Diagonalization

Class Session #48 (11/24) Work on Assignment

Class Session #49 (11/30) Diagonalization

Class Session #50 (12/01) Example; Matrices for Linear Transformations

Class Session #51 (12/02) Diagonalization of Symmetric Matrices

Class Session #52 (12/04) Quadratic Forms; Graphing Conics

Class Session #53 (12/07) Quadratic Forms and Eigenvalues

Class Session #54 (12/08) A Look at a Markov Chain Process (MCP)

Class Session #56 (12/09) MCP's - A Summary; Significance of Fundamental Matrix

Class Session #58 (12/11) Modeling Dynamic Change in a Raised Mire; Exploring Implications of a Model

Class Sessions #59&#60 Final Examination - Wednesday, December 16  10:45 am - 1:15 pm