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Syllabus

Homework

Schedule

All linked section numbers direct to pdf copies of old lecture notes. Resources used in class will appear in the supplements column. The most recent upload of this semester's lecture notes can be found here.

Week	Sec.	Topic	Supplements	Glossary
1	1.1	Systems of linear equations	Consistentency in three dimensions	1.1
	1.2	Row reduction and echelon forms	A summary	1.2
2	1.2	- -
	1.3	Vector equations	Visualizing vectors: In R3 (with components) Addition (with commutativity) Linear combinations example	1.3
3	1.3	- -
	1.4	The matrix equation Ax = b		1.4
	1.5	Solution sets of linear systems		1.5
4	1.5	- -
	1.7	Linear independence		1.7
5	1.8	Introduction to linear transformations	Some nice videos on linear transformations Two dimensions Three dimensions Differing dimensions	1.8
	1.9	The matrix of a linear transformation	Standard matrices for common transformations	1.9
6	2.1	Matrix operations	A neat connection.	2.1
	2.2	The inverse of a matrix	Computing the inverse of a 'large' matrix (.mw)	2.2
	2.3	Characterizations of invertible matrices	The invertible matrix theorem	2.3
7	2.3	- -
	3.1	Introduction to determinants		3.1
	3.2	Properties of the determinant		3.2
	Exam I	Chapters 1 and 2.	"Study guide"
8	3.2	- -
	3.3	The geometry of the determinant	Volume under a linear transformation Visualizing area under a linear transformation A nice discussion of the geometry of the determinant	3.3
	4.1	Vector spaces		4.1
9	4.1	Vector spaces
10	4.1	- -
	4.2	Null space and column space	Contrasting the null and column space of a matrix	4.2
11	4.3	Linearly independent sets; bases		4.3
	4.4	Coordinate systems	A natural subspace with no natural coordinates	4.4
12	5.1	Eigenvectors and eigenvalues	A two dimensional eigenspace	5.1
	5.2	The characteristic equation		5.2
	Exam II	Chapters 3 and 4.	"Study guide"
13	5.3	Diagonalization		5.3
	5.4	Eigenvectors and linear transformations		5.4
14		Fall recess
15	6	Norms, orthogonality and inner products		6.1
16	Final	Cumulative. 006: Tuesday Dec. 10 3:30 - 5:30 in our classroom. 011: Saturday Dec. 14 3:30 - 5:30 in our classroom.	"Study guide"