Last updated July 2, 2007

 General Information HW Assignments Exams

## Syllabus

The following is a tentative syllabus for the course. The weekly syllabus contained in the Homework page will always be accurate.

Lectures Sections in Text Brief Description
Friday, June 22 1.1 - 1.2 Systems of Linear Equations; Row Reduction and Echelon Forms
Saturday, June 23 No class
Monday, June 25 1.3-1.4 Vector Equations; The Matrix Equation Ax=b
Tuesday, June 26 (x-hour) Proofs
Wednesday, June 27 1.5, 1.7 Solution Sets of Linear Systems; Linear Independence
Friday, June 29 1.8 Introduction to Linear Transformations
Monday, July 2 1.9 The Matrix of a Linear Transformation
Tuesday, July 3 (x-hour) 2.1 - 2.2 Matrix Operations; The Inverse of a Matrix
Wednesday, July 4 No class
Friday, July 6 2.2-2.3 The Inverse of a Matrix; Characterizations of Invertible Matrices
Monday, July 9 Applications
Tuesday, July 10 (x-hour) Review
Wednesday, July 11 Exam I
Friday, July 13 3.1-3.3 Introduction to Determinants; Properties of Determinants; Cramer's Rule, Volume, and Linear Transformations
Monday, July 16 4.1 Vector Spaces and Subspaces
Tuesday, July 17 (x-hour) proofs
Wednesday, July 18 4.2 Null Spaces, Column Spaces, and Linear Transformations
Friday, July 20 4.3 Linearly Independent Sets, Bases
Monday, July 23 4.4 Coordinate Systems
Tuesday, July 24 (x-hour) 4.5-4.6 The Dimension of a Vector Space; Rank
Wednesday, July 25 4.7 Change of Basis
Friday, July 27 4.9 Applications to Markov Chains
Monday, July 30 Review
Tuesday, July 31 (x-hour) Exam II
Wednesday, August 1 5.1 Eigenvectors and Eigenvalues
Friday, August 3 5.2 The Characteristic Equation
Monday, August 6 5.3 Diagonalization
Tuesday, August 7 (x-hour) 5.4 Eigenvectors and Linear Transformations
Wednesday, August 8 5.5 Complex Eigenvalues
Friday, August 10 6.1 Inner Product, Length, and Orthogonality
Monday, August 13 6.2 Orthogonal Sets
Tuesday, August 14 (x-hour) 6.3 Orthogonal Projections
Wednesday, August 15 6.4 The Gram-Schmidt Process
Friday, August 17 6.5-6.6 Least-Squares Problems; Applications to Linear Models
Monday, August 20 7.1 Diagonalization of Symmetric Matrices
Tuesday, August 21 (x-hour) Applications
Wednesday, August 22 Review
Saturday, August 25 Final Exam: 8:00-11:00 A.M.