Math 22: Linear Algebra with Applications

Fall 2015

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.

Lecture Date Section in Text Brief Description
Day 1 Wed. Sept 16 1.1 Systems of Linear Equations
Day 2 Thurs. Sept 17 1.2 Row Reduction and Echelon Forms
Day 3 Fri. Sept. 18 1.3 Vector Equations
Day 4 Mon. Sept. 21 1.4 -1.5 The Matrix Equation Ax=b and Solution Sets of Linear Equations
Day 5 Wed. Sept. 23 1.7 Linear Independence
Day 6 Thurs. Sept. 24 1.8 Introduction to Linear Transformations
Day 7 Fri. Sept. 25 1.9 The Matrix of a Linear Transformation
Day 8 Mon. Sept. 28 2.1 Matrix Operations
Day 9 Wed. Sept. 30 2.2 Inverse of a Matrix
Day 10 Thurs. Oct. 1 2.3 Characterization of Invertible Matrices
Day 11 Fri. Oct. 2 3.1 - 3.2 The Determinant and its Properties
Day 12 Mon. Oct. 5 4.1 Vector Space and Subspaces
Day 13 Wed. Oct. 7 4.2 Null Spaces (Kernel), Column Spaces, and Linear Transformations
Day 14 Fri. Oct. 8 4.3 Linear Independent sets and bases
Day 15 Fri. Oct. 9 4.4 Coordinate Systems
Day 16 Mon. Oct. 12 4.5 The dimension of a vector space
Day 17 Wed. Oct. 14 4.6 Rank
Day 18 Fri. Oct. 16 4.7 Change of basis
Day 19 Mon. Oct. 19 5.1 Eigenvectors and Eigenvalues
Day 20 Wed. Oct. 21 5.2 The Characteristic Equation
Day 21 Thurs. Oct. 22 5.3 Diagonalization
Day 22 Fri. Oct. 23 6.1 Inner Product, Length and Orthogonality
Day 23 Mon. Oct. 26 6.2 Orthogonal Sets
Day 24 Wed. Oct. 28 6.3 Orthogonal Projections
Day 25 Thurs. Oct. 29 6.4 The Gram-Schmidt Process
Day 26 Fri. Oct. 30 7.1 Diagonalization of Symmetric Matrices
Day 27 Mon. Nov. 2 4.9 Application: Markov Chains & Google's page rank
Day 28 Wed. Nov. 4 7.5 Principal Component Analysis (PCA) & Eigenfaces
Day 29 Fri. Nov. 6 7.4 Application: Singular Value decomposition (SVD)
Day 30 Mon. Nov. 9 7.4 Application: SVD and storing images
Day 31 Wed. Nov 11 Guess speaker Application: Image processing
Day 32 Fri. Nov 13 No section in book Application -- JPEG compression algorithm.
Day 33 Mon. Nov. 16 no new material Review


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