Syllabus

Week 1.  January 20 - 24      
  1.1   Systems of Linear Equations 
  1.2   Row Echelon Form

Week 2.  January 27 - 31
  1.3   Matrix Algebra
  1.4   Elementary Matrices 

Week 3.  February 3 - 7
  2.1   The Determinant of a Matrix 
  2.2   Properties of Determinants 
  2.3   Cramer's Rule

Week 4.  February 10 - 14
  Review
  3.1   Vector Spaces: Definition and Examples
  Exam 1:  Thursday, February 13

  Unrestricted Withdrawal Deadline: Friday, February 14

Week 5.  February 17 - 21
  3.2   Subspaces, Linear Span 
  3.3   Linear Independence

Week 6.  February 24 - 28
  3.3   Linear Independence, continued
  3.4   Basis and Dimension
  3.5   Change of Basis

Week 7.  March 3 - 7
  3.5   Change of Basis, continued
  3.6   Row Space and Column Space 

Week 8.  March 10 - 14
  Review
  4.1   Linear Transformations: Definition and Examples
  Exam 2:  Thursday, March 13

  Spring Break: March 16 - 23

Week 9.  March 24 - 28
  4.2   Matrix Representations of Linear Transformations
  5.1   The Scalar Product in Rn

Week 10.  March 31 - April 4
  5.2   Orthogonal Subspaces  
  5.3   Least Squares Problems 

  Restricted Withdrawal Deadline: Friday, April 4

Week 11.  April 7 - 11
  5.4   Inner Product Spaces
  5.5   Orthonormal Sets  

Week 12. April 14 - 18
  Review
  5.6   Gram-Schmidt Orthogonalization 
  Exam 3: Thursday, April 17

Week 13. April 21 - 25
  6.1   Eigenvalues and Eigenvectors 
  6.2   Systems of Linear Differential Equations

Week 14. April 28 - May 2
  6.3   Diagonalization 

Week 15. May 5 - 6
  Final Review
  Final Exam:  Thursday, May 8, 7:40-9:30am