Math 22
Linear algebra with applications
Last updated March 11, 2015 09:57:04 EDT

General information Syllabus HW (Cho) HW (Cai) HW (Bourke) Exams

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
Mon 3/30 1.1, 1.2 Systems of Linear Equations, Row Reduction and Echelon Forms
Wed 4/1 1.3 Vector Equations
Fri 4/3 1.4, 1.5 The Matrix Equation Ax = b, Solution Sets of Linear Systems
Mon 4/6 1.6 Applications of Linear Systems
Wed 4/8 1.7 Linear Independence
Fri 4/10 1.8 Introduction to Linear Transformations
Mon 4/13 1.9 The Matrix of a Linear Transformation
Wed 4/15 2.1 Matrix Operations
Fri 4/17 2.2, 2.3 The Inverse of a Matrix, Characterizations of Invertible Matrices
Mon 4/20 2.5 Matrix Factorizations
Wed 4/22 3.1, 3.2, 3.3 Determinants, Cramer's Rule, Volume, and Linear Transformations
Wed 4/22   EXAM 1 4-6pm in TBA
Fri 4/24 4.1, 2.8 Vector Spaces and Subspaces, Subspaces of Rn
Mon 4/27 4.2 Null Spaces, Column Spaces, and Linear Transformations
Wed 4/29 4.3 Linearly Independent Sets; Bases
Fri 5/1 4.4 Coordinate Systems
Mon 5/4 4.5 The Dimension of a Vector Space
Wed 5/6 4.6, 2.9 Rank, Dimension and Rank
Fri 5/8 4.7 Change of Basis
Mon 5/11 4.9 Applications to Markov Chains
Wed 5/13 5.1 Eigenvectors and Eigenvalues
Fri 5/15 5.2 The Characteristic Equation
Fri 5/15   EXAM 2 4-6pm in TBA
Mon 5/18 5.3 Diagonalization
Wed 5/20 5.4 Eigenvectors and Linear Transformations
Fri 5/22 6.1, 6.2 Inner Product, Length, and Orthogonality, Orthogonal Sets
Mon 5/25   MEMORIAL DAY (no class)
Wed 5/27 6.3, 6.4 Orthogonal Projections, The Gram-Schmidt Process
Fri 5/29   selected applications
Mon 6/1   selected applications
Fri 6/5   FINAL 3--6pm


John Bourke
Last updated March 11, 2015 09:57:04 EDT