Penn State University - University Park
Math 220, Matrices
Spring 2008

INSTRUCTOR: Dr. Aissa Wade
Office: 317 McAllister
Phone: (814) 865-7311
E-mail: wadeATmath.psu.edu
Office Hours (Spring 2008): WF 4:00 - 5:00 and by appointment.



CLASS SCHEDULE - Tentative
  Date                             Section                                                     
  January 15

  January 17
  Introduction - Section 1.1: Systems of Linear Equations                                 

  Section 1.1: Systems of Linear Equations   -  Section 1.2        
  January 22

  January 24
  Section 1.2: Row Reduction and Echelon Forms

  Section 1.3: Vector Equations        
  January 29

  January 31
  In-class quiz   -   Section 1.4: The Matrix Equation Ax=b       

  Section 1.4: The Matrix Equation Ax=b  -    Section 1.5
  February 5

  February 7
  Section 1.5: Solution Sets of Linear Systems   -   Section 1.6

  Section 1.7: Linear Independence   -    Section 1.7
  February 12

  February 14
  Section 1.8: Introduction to Linear Transformations       

  Section 1.9: The Matrix of a Linear Transformation
  February 19

  February 21
  Section 2.1: Matrix Operations   -   In-class quiz

  Section 2.2: The Inverse of a Matrix
  February 26

  February 28
  Section 2.3: Characterizations of Invertible Matrices

  Section 2.8: Linear Subspaces
  March 4

  March 5
  Review for the midterm exam

  Midterm Exam
  March 6

  March 11
  Section 2.8: Linear Subspaces

  No class -Spring break
  March 18

  March 20
  Section 2.9: Dimension and Rank

  Section 2.9: Dimension and Rank   -   Section 3.1
  March 25

  March 27
  Section 3.1: Introduction to Determinants   -   In-class quiz

  Section 3.2: Properties of Determinants   -   Cramer's Rule
  April 1

  April 3
  Section 5.1: Eigenvalues and Eigenvectors

  Section 5.2: The Characteristic Equation
  April 8

  April 10
  Section 5.3: Diagonalization

  Section 5.5: Complex Eigenvalues
  April 15

  April 17
  Section 6.1: Inner Product, Length, and Orthogonality   -   In-class quiz

  Section 6.2: Orthogonal Sets
  April 22

  April 24
  Section 6.3: Orthogonal Projections

  Section 6.4: The Gram-Schmidt Process
  April 29

  May 1
  Section 6.5: Least Squares Problems

  Section 7.1 - Review