Math 22
Linear Algebra and Applications
Last updated June 24, 2010 10:49:50 EDT

## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures Sections in Text Brief Description
F 6/20 1.1-1.2 Systems of Linear Equations; Row Reduction and Echelon Forms
M 6/23 1.3-1.4 Vector Equations; The Matrix Equation Ax=b
W 6/25 1.5 Solution Sets of Linear Systems
Th 6/26 (x-hour) Handout (on Blackboard) Writing Proofs
F 6/27 1.7 Linear Independence
M 6/30 1.8, 1.9 Linear Transformations; The Matrix of a Linear Transformation
W 7/2 1.9, 2.1 The Matrix of a Linear Transformation; Matrix Operations; [last day to add course; last day to drop without 'W' (till 4pm)]
Th 7/3 (x-hour) 2.1, 2.2 Matrix Operations; the Inverse of a Matrix
F 7/4   no class today
M 7/7 2.2, 2.3 The Inverse of a Matrix; Characterizations of Invertible Matrices
W 7/9   Applications
Th 7/10 (x-hour)   Exam 1
F 7/11 4.1 Vector Spaces and Subspaces
M 7/14 4.2 Null spaces, column spaces, and linear transformations
W 7/16 4.3 Linearly independent sets, bases (Guest lecture)
Th 7/17 (x-hour)   Proofs
F 7/18 4.4 Coordinate systems
M 7/21 4.5-4.6 The dimensions of a vector space; rank
W 7/23 4.7 Change of basis
Th 7/24 (x-hour) 4.9 Applications of Markov chains
F 7/25 5.1 Eigenvectors and Eigenvalues (Guest lecture)
M 7/28 5.2 The characteristic equation
W 7/30   Exam 2
Th 7/31 (x-hour) 5.3 Diagonalization
F 8/1   no class today
M 8/4 5.4 Eigenvectors and linear transformations
W 8/6 5.5 Complex Eigenvalues (Guest lecture)
Th 8/7 (x-hour) 6.1 Inner Product, length, and orthogonality
F 8/8 6.2 Orthogonal sets
M 8/11 6.3 Orthogonal projections
W 8/13 6.4 The Gram-Schmidt process
Th 8/14 (x-hour) 6.5-6.6 Least-squares problems; applications to linear models
F 8/15 7.1 Diagonalization of symmetric matrices
M 8/18   Applications (Guest lecture)
W 8/20   Review
F 8/22   Last day to alter grade limit filed under NRO
Su 8/24   Final Exam

Annalies Z. Vuong
Last updated June 24, 2010 10:49:50 EDT