Detailed Schedule -- Linear Algebra, section 1

Spring 1999, 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 (Smith)

1/20	Course introduction; vectors and vector spaces	Chapter 1,2
1/22	Examples of vector spaces	Chapter 3
1/25	Vector subspaces	Chapter 4
1/27	Vector subspaces, continued	Chapter 4
1/29	Linear dependence	Chapter 5
2/1	Linear independence	Chapter 5
2/3	Finite-dimensional vector spaces	Chapter 6
2/5	Dimension	Chapter 6
2/8	Examples	Chapter 6
2/10	Recap of Chapters 1 - 6	Chapter 7
2/12	Linear transformations	Chapter 8
2/15	Properties of linear transformations	Chapter 8
2/17	Kernel and image of a linear transformation	Chapter 8
2/19	Exam 1	(through 2/12)
2/22	Linear extension of a mapping	Chapter 8
2/24	Isomorphism of vector spaces	Chapter 8
2/26	Examples	Chapter 9
3/1	Linear transformations and matrices in R³	Chapter 10
3/3	Continued	Chapter 10
3/5	Spare day
3/8,10,12	No class -- Spring Break
3/15	Matrix representation of a linear transformation	Chapter 11
3/17	Basic theorems on matrix representations	Chapter 11
3/19	Change of basis	Chapter 11
3/22	Change of basis, continued	Chapter 11
3/24	Systems of linear equations	Chapter 13
3/26	Exam 2	(through 3/22)
3/29	Echelon form	Chapter 13
3/31	Matrix factorizations	Chapter 13
4/2,5	No class -- Easter Break
4/7	Eigenvalues/eigenvectors	Chapter 14
4/9	Continued	Chapter 14
4/12	Rank of a transformation	Chapter 14
4/14	Determinants	Chapter 14
4/16	The characteristic polynomial	Chapter 14
4/19	The Diagonalization Theorem	Chapter 14
4/21	Inner product spaces	Chapter 15
4/23	Exam 3	(through 4/19)
4/26	Geometry of inner product spaces	Chapter 15
4/28	Self-adjoint transformations	Chapter 16
4/30	CEF's administered, the Spectral Theorem	Chapter 16
5/3	The Spectral Theorem, conclusion

Last modified: January 6, 1999