Version 01, updated: Sept 10, 2007

Contents:
           Chap 1: Matrices and Systems of Equations: (1.1-1.5) 
           Chap 2: Determinants: (2.1-2.3)
           Chap 3: Vector Spaces: (3.1-3.6)
           Chap 4: Linear Transformations: (4.1-4.3)
           Chap 5: Orthogonality: (5.1-5.6) 
           Chap 6: Eigenvalues: (6.1-6.3) (6.4 if time permits) 

Week 01: 
 Tu: 09/10: 
     (no recitation this week)
 Fr: 09/14: 
 1.1: Systems of linear equation
 1.2: Row Echelon form

Week 02: 
 Tu: 09/21: 
 Recitation: on homework 01 
 Fr: 09/23: 
 1.3: Matrix algebra
 1.4: Elementary matrices
 1.5: Partitioned matrices

Week 03: 
 Tu: 09/25: -------------------- Holiday, no class.   
 Recitation: on homework 02 
 Fr: 09/28: --------------( quiz 01, on homeworks week 01-02) 

Week 04: 
 Tu: 10/02: 
 (no homework on week 03, no recitation this week) 
 Fr: 10/05:  
 2.1: The determinant of a matrix
 2.2: Property of determinants

Week 05:
 Tu: 10/09: 
 Recitation: on homework 04 
 Fr: 10/12:
 2.3: Cramer's rule
 3.1: Definition and examples
 3.2: Subspaces
#12 lectures 
Week 06:
 Tu: 10/16: 
 Recitation: on homework 05 
 Fr: 10/19: --------------( quiz 02, on homeworks 04-05) 
 3.3: Linear independency

Week 07:
 Tu: 10/23:-------------------------( Midterm 01, on  homeworks 01-05 )
 (no homework on week 06, no recitation this week) 
 Fr: 10/26:  
 3.4: Basis and dimension

Week 08:
 Tu: 10/30:
 Recitation: on homework 07 
 Fr: 11/02: 
 3.5: Change of basis
 3.6: Row space and column space

Week 09:
 Tu: 11/06: 
 Recitation: on homework 08 
 Fr: 11/09: --------------( quiz 03, on homeworks week 07-08) 
 4.1: Definition and examples
 4.2: Matrix representation of linear transformations

Week 10:
 Tu: 11/13: 
 Recitation: on homework 09 
 Fr: 11/16: 
 4.3: Similarity 
 5.1: The scalar product in R^n
 5.2: Orthogonal subspaces
Week 11:
 Tu: 11/20: 
 Recitation: on homework 10 
 Fr: 11/23: --------------( quiz 04, on homeworks week 09-10) 
 5.3: Least squares problems
 5.4: Inner product spaces
# 13 lectures
Week 12:
 Tu: 11/27: 
 Recitation: on homework 11 
 Fr: 12/30: 
 5.5: Orthogonal sets
 5.6: The Gram-Schmidt orthogonalization process

Week 13:
 Tu: 12/04: -------------------------( Midterm 02, on homeworks 06-10 )
 (no homework on week 11, no recitation this week) 
 Fr: 12/07:
 6.1: Eigenvalues and Eigenvectors

Week 14:
 Tu: 12/11: 
 Recitation: on homework 13 
 Fr: 12/14: 
 6.2: Systems of Linear differential equations

Week 15:
 Tu: 12/18: 
 Recitation: on homework 14 
 Fr: 12/21: ----------( quiz 05, on homeworks week 13-14) 
 6.3: Diagonalization

Week 16:
 Tu: 12/25: 
 Recitation: on homework 15 
 Fr: 12/28: 
 6.4: Hermitian matrices
# 12 lectures
Week 17:
 Tu: 01/01: -----------  Holiday, no class 
 Recitation: on homework 16 
 Fr: 01/04: ---------( quiz 06, on homeworks week 15-16) 

Week 18:
 Final Exam