Lectures

Lecture Summaries are indexed below; just follow the link. Reading them is not a substitute for class attendance. They do not include the examples worked out in class, which give a feel for actually dealing with the material. They do provide an outline of the topics covered.

Important Note: Not surprisingly, the lectures include notation in the"Symbol" font. Be sure that the preferences in your web browser are set so that fonts are read as "page-specified" (rather than having your own fonts override the page-specified ones).

Lecture
Date
Topics
1
1/22
Matrices and Vectors
2
1/27
Systems of Linear Equations
3
1/29
Gaussian Elimination
4
2/3
Span of a Set of Vectors
5
2/5
Linear Dependence and Linear Independence
6
2/10
Matrix Multiplication
7
2/12
Applications of Matrix Multiplication
8
2/17
Invertibility and Elementary Matrices
9
2/19
Inverse of a Matrix
10
2/24
LU Decomposition of a Matrix
11
2/26
Determinants; Cofactor Expansions
12
3/3
Midterm I: In Class
13
3/5
Properties of Determinants
14
3/10
Subspaces
15
3/12
Basis and Dimension
16
3/24
Column Space and Null Space of a Matrix
17
3/26
Eigenvalues and Eigenvectors
18
3/31
Characteristic Polynomial
19
4/2
Diagonalization of Matrices
20
4/7
Applications of Eigenvalues
21
4/9
Geometry of Vectors
22
4/14
Midterm II - In Class
23
4/16
Orthogonal Vectors; Gram-Schmidt Process
24
4/21
Orthogonal Complements
25
4/23
Orthogonal Projection and Least-Squares Approximations
26
4/28
Orthogonal Matrices
27
4/30
Symmetric Matrices and Quadratic Forms
28
5/5
Review
 
5/13
Final Exam: NOON-3PM

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