Detailed Schedule -- Linear Algebra, Section 1

Spring 2004, Prof. Little

As always, topics may be added, deleted, or rearranged during the course of the semester. Any changes will be announced in class and here.

Date	Class Topic	Reading (Damiano and Little)

1/21	Course introduction, vector spaces	1.1
1/23	More on vector spaces	1.1
1/26	Subspaces	1.2
1/28	More on subspaces	1.2
1/30	Linear combinations, Definitions quiz 1	1.3
2/2	Linear dependence	1.4
2/4	Linear independence	1.4
2/6	Systems of linear equations, Definitions quiz 2	1.5
2/9	Echelon form	1.5
2/11	Bases of a vector space	1.6
2/13	Dimension of a vector space, Definitions quiz 3	1.6
2/16	Linear transformations	2.1
2/18	More on linear transformations	2.1
2/20	Exam 1	Chapter 1
2/23	Matrix of a linear transformation	2.2
2/25	More on matrix representations	2.2
2/27	Kernel and image, the Dimension Theorem, Definitions quiz 4	2.3
3/1	Consequences of Dimension Theorem	2.3
3/3	Relation to One-to-One and Onto properties	2.4
3/5	Structure of solution sets of linear systems, Definitions quiz 5	2.4
3/8,10,12	No Class -- Spring Break	2.5
3/15	Composition and matrix multiplication	2.5
3/17	Inverse transformations	2.6
3/19	Inverse matrices, Definitions quiz 6	2.6
3/22	Change of basis	2.7
3/24	More on change of basis	2.7
3/26	Exam 2	Chapter 2, sections 1 - 6
3/29	Determinants	3.1
3/31	More on determinants	3.2
4/2	Yet more on determinants, Definitions quiz 7	3.2
4/5	Cramer's rule	3.3
4/7	Spare day
4/9,12	No Class -- Easter Break	4.1
4/14	Eigenvalues, eigenvectors	4.1
4/16	More on eigenvalues, eigenvectors, Definitions quiz 8	4.1
4/19	Diagonalizability	4.2
4/21	Inner products	4.3
4/23	Orthogonal projections, Definitions quiz 9	4.4
4/26	Adjoints and symmetric matrices	4.5
4/28	The spectral theorem	4.6
4/30	Exam 3	(Chapter 2, section 7, Chapter 3, Chapter 4, sections 1 - 4)
5/3	Course wrap-up

The final exam for this course will be given at 8:30 am on Monday, May 10, 2004.

Last modified: January 13, 2004