Week 1: Sections 1.1-1.4

• March 28: Introduction and geometry of linear equations
• March 30: Gaussian elimination
• April 1: Matrix operations and matrix multiplication

Week 2: Sections 1.5,1.6,1.7,1.9

• April 4: Algebra of Matrix Operations
• April 6: Linear Independence
• April 8: Non-singularity and matrix Inverses

Week 3: Sections 1.4, 1.8, 1.9

• April 11: More on inverses and Polynomial interpolation
• April 13: Applications to sciences and Data Fitting
• April 15: Review Class

Week 4: Sections 3.1-3.3

• April 18: Exam 1
• April 20: Quick Chapter 2 review, Vector Spaces
• April 22: Subspaces

Week 5: Sections 3.3-3.5

• April 25: Some more subspace examples and the concept of a basis
• April 27: Finish basis discussion
• April 29: Dimension

Week 6: Sections 3.6-3.7

• May 2: Orthogonality and Gram-Schmidt
• May 4: More orthogonality and start Linear Transformations
• May 6: Linear Transformations

Week 7: Sections 3.7-3.9

• May 9: Finish Linear Transformations and start Least Squares
• May 11: Least Squares and Data Fitting
• May 13: Review for Exam 2

Week 8: Sections 4.1-4.3

• May 16: Exam 2
• May 18: The Eignevalue Problem and Determinants
• May 20: Determinant Properties

Week 9: Sections 4.4, 4.5, and 4.7

• May 23: Properties of Eigenvalues and Eigenspaces
• May 25: Similarity and Diagonalization
• May 27: Diagonalization and Applications

Week 10: Section 4.8

• May 30: No class
• June 1: Markov Processes
• June 3: Review Day