Math 24
Honors Linear Algebra
Last updated June 27, 2012 12:25:55 EDT

### Syllabus

We will cover more or less Chapters 1-4 and parts of Chapters 5 and 6 in the textbook.

The following is a slightly more detailed tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained in the Homework Assignments page should always be accurate, if incomplete.

Class is expected to meet on every day listed here. During most weeks we will meet three times; sometimes we will meet during the x-hour on Thursday. Each week's schedule should be set by the end of the preceding week. For the first week, we will meet on Monday, Wednesday, Thursday and Friday as indicated.

1/4   Course introduction.
1/6 1.1 Review of vectors.
1/7 (x-hour) 1.2 Vector spaces.
1/8 1.3 Subspaces.
1/11 1.4 Linear combinations; systems of linear equations.
1/13 1.5 Linear dependence and independence.
1/15 1.6 Bases and dimension
1/18   No class: MLK day.
1/20 1.6 Bases and dimension
1/21 (x-hour) 2.1 Linear transformations, null spaces and ranges.
1/22 2.1 Linear transformations, null spaces and ranges.
1/25 2.2 Linear transformations, matrix representation.
1/27 2.3 Compositions of linear transformations.
1/29 2.4 invertibility and isomorphisms.
2/1 2.5 Change of coordinates.
2/3 2.5 Change of coordinates.
2/3   Take-home midterm on Chapters 1 and 2 handed out today.
2/5 3.1 Elementary matrices.
2/8 3.2 Rank of a matrix; matrix inverses.
2/10 3.3 Systems of linear equations.
2/11 (x-hour) 3.4 Gaussian elimination.
2/11   Take-home midterm due today.
2/12   No class today. Enjoy Winter Carnival.
2/15 4.1, 4.2 Matrix determnants.
2/17 4.3, 4.4 Properties of determinants
2/19 5.1 Eigenvalues and eigenvectors.
2/22 5.1, 5,2 Eigenvalues, eigenvectors, and diagonalizability.
2/24 5.2 Diagonalizability.
2/26 5.2 Direct sums.
3/1 6.1 Inner products and norms.
3/3 6.2 Gram-Schmidt orthogonalization.
3/5 6.3 Adjoint of a linear operator.
3/8   Course conclusion.

Marcia J. Groszek
Last updated June 27, 2012 12:25:55 EDT