Linear Algebra I

Math 3333, Fall 2015 (http://www.math.ou.edu/~forester/3333F15)

Syllabus — This is a tentative schedule for the class. I will update it as we go to reflect what we actually cover in class.

Week Date Material
       
1 8/24 M 1.1 Systems of linear equations
8/26 W 1.2 Matrices
8/28 F 1.2
       
2 8/31 M 1.3 Matrix multiplication
9/2 W 1.4 Algebraic properties of matrix multiplication
9/4 F 1.5 Special types of matrices
       
3 9/7 M Labor day, no class
9/9 W 1.5
9/11 F 1.6 Matrix transformations
       
4 9/14 M 2.1 Echelon form of a matrix
9/16 W 2.2 Solving linear systems
9/18 F 2.2
       
5 9/21 M Review
9/23 W Exam 1
9/25 F 2.3 Elementary matrices
       
6 9/28 M 2.4 Equivalent matrices
4.1 Vectors in the plane and 3-space
9/30 W 4.2 Vector spaces
10/2 F 4.3 Subspaces
       
7 10/5 M 4.4 Span
10/7 W 4.4
10/9 F No class
       
8 10/12 M 4.5 Linear Independence
10/14 W 4.6 Basis and dimension
10/16 F 4.6
       
9 10/19 M Review
10/21 W Exam 2
10/23 F 4.7 Homogeneous systems
       
10 10/26 M 4.8 Coordinates with respect to a given basis
10/28 W 4.9 Rank of a matrix
10/30 F 4.9
       
11 11/2 M 6.1 Linear transformations
11/4 W 6.2 Kernel and range
11/6 F 6.2
       
12 11/9 M 6.3 Matrix representation
11/11 W 6.5 Similarity
11/13 F 3.1 Determinants
       
13 11/16 M 3.2 Properties of determinants
11/18 W 3.3 Cofactor expansion
11/20 F Review
       
14 11/23 M Exam 3
11/25 W Thanksgiving, no class
11/27 F Thanksgiving, no class
       
15 11/30 M 3.4 Inverse of a matrix via determinants
12/2 W 7.1 Eigenvalues and eigenvectors
12/4 F 7.1
       
16 12/7 M 7.2 Diagonalization and similar matrices
12/9 W Review
12/11 F Review
       
17 12/18 F Section 3 Final Exam 8-10 am
Section 4 Final Exam 4:30-6:30 pm