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Schedule for Fall 98, 8:45 MWF, Linear Algebra

Mon Tue Wed Thu Fri
August 24
Section 1.1
Systems of
Linear Equations 		25



26
Section 1.2
Row Reduction and
Echelon Forms 		27



28
Meet in the
Computer Lab
September 31
Section 1.3
Vector Equations 		1



2
Section 1.4
The Matrix
Equation Ax=b 		3



4
Sectin 1.5
Solution Sets of
Linear Systems
7
Labor
Day
Recess 		8



9
Section 1.6
Linear
Independence 		10



11
Section 1.7
Linear
Transformations
14
Section 1.8
The Matrix
of a Linear
Transformation 		15



16
Section 1.9
Linear Models in
Business, Science,
and Engineering 		17
18 Catch Up Day
21
Section 2.1
Matrix
Operations 		22



23
Section 2.2
Inverse of
a Matrix 		24



25
Section 2.3
Characteristics of
Invertible Matrices
28
Section 2.4
Partitioned
Matrices 		29



30
Section 2.5
Matrix
Factorizations 		1



2
Section 2.6
Iterative Solutions
of Linear Systems
October 5
Section 2.8
Computer
Graphics 		6

7
Section 4.1
Vector Spaces
and Subspaces 		8

9
Section 4.2
Null Spaces,
Column Spaces, and
Linear Transformations
12
Section 4.3
Linearly Independent
Sets: Bases 		13
14
Section 4.4
Coordinate Systems
15
16
Fall Break
19
Catch-up Day 		20
21
Section 4.5
Dimension of a
Vector Space 		22
23
Section 4.6
Rank
26
Take-Home Exam

27
28
Section 4.7
Change of
Basis 		29
30
Section 4.9
Application to
Markov Chains
November 2
Section 5.1
Eigenvectors
and Eigenvalues 		3
4
Section 5.2
The Characteristic
Equation 		5
6
Section 5.3
Diagonalization
9
Section 5.4
Eigenvectors and
Linear Transformations 		10
11
Section 5.5
Complex
Eigenvalues 		12
13
Section 5.7
Applications to
Differential Eq.s
16
Catch up Day

17
18
Section 6.1
Inner Product,
Length, and
Orthogonality 		19
20
Section 6.2
Orthogonal Sets
23
Section 6.3
Orthogonal
Projections 		24
25
Thanksgiving Break 		26


27


December 30
Section 6.4
Gram-Schmidt
Process 		1
2
Section 6.5
Least-Squares
Problems 		3
4
Section 7.1
Diagonalization of
Symmetric Matrices
7
Section 7.2
Quadratic Forms
8
9
Section 7.5
Applications to
Image Processing 		10
11
Review
14



15 16
Final Exam
8:00-10:00 		17 18