Fall Semester 2009 -- Tentative Schedule
| Week |
Date |
Class Topic |
| 1 |
Aug 31
Sep 2
Sep 4 |
Syllabus and 1.1 Intro to Systems of Lin Eq
1.1 Solving a System -- Row-Echelon Form
1.2 Matrices, Row Operations , and Solving |
| 2 |
Sep 7
Sep 9
Sep 11 |
No Class - Labor Day
1.2 Reduced Row Echelon Form
1.3 Applications of Systems of Linear Eq . |
| 3 |
Sep 14
Sep 16
Sep 18 |
2.1 Ope rations with Matrices
2.2 Properties of Matrix Operations
2.3 The Inverse of a Matrix |
| 4 |
Sep 21
Sep 23
Sep 25 |
2.3 The Inverse of a Matrix
2.4 Elementary Matrices
2.5 Applications of Matrix Operations |
| 5 |
Sep 28
Sep 30
Oct 2 |
3.1 The De terminant of a Matrix
3.1 The Determinant of a Matrix
3.2 Evaluation of Det using Elem Operations |
| 6 |
Oct 5
Oct 7
Oct 9 |
3.3 Properties of Determinants
3.4 Intro to Eigenvalues
3.5 Applications of Determinants |
| 7 |
Oct 13
Oct 14
Oct 16 |
(Tuesday) Review for Exam
Exam 1
4.1 Vectors in R^n |
| 8 |
Oct 19
Oct 21
Oct 23 |
4.2 Vector Spaces
4.3 Subspaces of Vectors Spaces
4.4 Spanning Sets and Linear Independence |
| 9 |
Oct 26
Oct 28
Oct 30 |
4.4 Spanning Sets and Linear Independence
4.5 Basis and Dimension
4.5 Basis and Dimension |
| 10 |
Nov 2
Nov 4
Nov 6 |
4.6 Rank of a Matrix and Systems of Lin. Eq.
4.7 Coordinates and Change of Basis
5.1 Length and Dot Product in R ^n |
| 11 |
Nov 9
Nov 11
Nov 13 |
5.2 Inner Product Spaces
5.3 Orthonormal Bases: Gram-Schmidt Process
Review |
| 12 |
Nov 16
Nov 18
Nov 20 |
Exam 2
6.1 Intro to Linear Transformations
6.2 The Kernal and Range |
| 13 |
Nov 23
Nov 25
Nov 27 |
6.3 Matrices and Linear Transformations
No Class - Thanksgiving Break
No Class - Thanksgiving Break |
| 14 |
Nov 30
Dec 2
Dec 4 |
6.4 Transition Matrices and Similarity
6.5 Applications of Linear Transformations
7.1 Eigen Values and Eigenvectors |
| 15 |
Dec 7
Dec 9
Dec 11 |
7.2 Diagonalizations
7.3 Symmetric Matricies
Catch up and Review |
| 16 |
Dec 16 |
Final Exam 8:00 - 9:50 AM |
