Last updated September 11, 2006

Syllabus

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

Date Section(s) in Text Brief Description
9/20 1.1 Systems of Linear Equations
9/21 (x-hour) x-hour proof workshop
9/22 1.2 Row Reduction and Echelon Forms
9/25 1.3 Vector Equations
9/27 1.4, 1.5 The Matrix Equation Ax = b, Solution Sets of Linear Systems
9/28 (x-hour) x-hour proof workshop
9/29 1.7 Linear Independence
10/2 1.8 Introduction to Linear Transformations
10/4 1.9 The Matrix of a Linear Transformation
10/5 (x-hour) 2.1, 2.2 Matrix Operations, The Inverse of a Matrix
10/6 2.2, 2.3 The Inverse of a Matrix, Characterizations of Invertible Matrices
10/9 catch-up day; section 2.6 if time permits
10/11 4.1 Vector Spaces and Subspaces
10/12 (x-hour) in-class part of exam 1 (covers sections 1.1 – 1.9, 2.1 – 2.3 minus section 1.6)
10/13 4.2 Null Spaces, Column Spaces, and Linear Transformations
10/16 4.3 Linearly Independent Sets; Bases
10/18 4.4 Coordinate Systems
10/19 (x-hour) x-hour proof workshop
10/20 4.5 The Dimension of a Vector Space
10/23 4.6 Rank
10/25 4.7 Change of Basis
10/26 (x-hour) x-hour proof workshop
10/27 3.1, 3.2 Introduction to Determinants, Properties of Determinants
10/30 3.2, 3.3 Properties of Determinants, Determinants as Area or Volume, Linear Transformations
11/1 5.1 Eigenvectors and Eigenvalues
11/2 (x-hour) in-class part of exam 2 (covers sections 4.1 – 4.7, 3.1 – 3.3)
11/3 5.2 The Characteristic Equation
11/6 5.3 Diagonalization
11/8 5.4 Eigenvectors and Linear Transformations
11/9 (x-hour) x-hour proof workshop
11/10 6.1 Inner Product, Length, and Orthogonality
11/13 6.2 Orthogonal Sets
11/15 6.3 Orthogonal Projections
11/16 (x-hour) x-hour proof workshop
11/17 6.4 The Gram-Schmidt Process
11/20 no class
11/22 no class (Thanksgiving break)
11/23 (x-hour) no class (Thanksgiving break)
11/24 no class (Thanksgiving break)
11/27 7.1 Diagonalization of Symmetric Matrices
11/29 wrap up; section 7.4 (the singular values of an m × n matrix, end of the invertible matrix theorem) if time permits
12/3 Final Exam, 15:00 – 18:00 (3:00 – 6:00 pm)