Paul Bendich

Course and Grading Policies

Date Section(s) Topics HW due

1/9/14 1.1,1.2 Intro, Vectors in n-space

1/14/14 1.2,1.3 Geometry in n-space

1/16/14 1.4 Gaussian elimination 1.1: 6(a,c,g), 7, 8, 9, 21, 22, 23, 25, 29
1.2: 1(b,d,g), 2(b,d,g), 4, 9, 11, 13 (no geometric interpretation necessary), 16, 18

1/21/14 1.4 Gaussian Elimination

1/23/14 1.5 Theory of Linear Systems 1.3: 1(a,c,f), 3(a,d,e), 5, 8, 10, 12
1.4: 1, 3(a--f), 4(d,f), 10, 11, 12, 13

1/28/14 1.5 Theory of Linear Systems, Curve-fitting, Difference Equations

1/30/14 2.1,2.2 Matrix operations, Matrix-vector mult. as lin. trans. 1.5: 1, 2(a, b), 3(a, c), 4a, 6, 10, 12, 13, 14
1.6: 5, 7, 9, 11

2/4/14 2.2,2.3 Linear Transformations

2/6/14 2.4,2.5 Elementary matrices, Transposes
2.1: 1(a, c, f), 2, 5, 6, 7, 8, 12(a, b, d), 14
2.2: 5, 7, 8
2.3: 1(b, d, f), 2(a, c, d), 4, 8, 11, 13, 16

2/11/14 3.1,3.2 Subspaces

2/18/14 3.2 Four Fundamental Subspaces
2.4: 7, 12
2.5: 1(a,f,j), 4, 8, 9, 12, 15, 19(a,b), 22, 23
3.1: 1, 2(a,c,d), 6, 9(b,c), 10, 12, 13, 14

2/20/14 3.3 Linear Independence

2/25/14 FIRST EXAM FIRST EXAM
FIRST EXAM

2/27/14 3.3,3.4 Bases
3.2: 1, 2(a,b), 10, 11
3.3 1, 2, 8, 10, 14, 15, 19, 21, 22

3/4/14 3.4 Bases for fundamental subspaces

3/6/14 3.6 Abstract vector spaces

3/18/14 3.6 Abstract inner product spaces
3.3: 5(a,b), 11
3.4: 3(a, b, d), 4, 8, 17, 20, 24
3.6: 1, 2(a, c, d), 3(a, c, f), 4, 6(a, b)

3/20/14 4.1 Least squares, Projections

3/25/14 4.2 Orthonormal bases, Gram-Schmidt
3.6: 9, 13, 14(b, c), 15(a, b)
4.1: 1(a, b), 3, 6, 7, 9, 11, 13, 15

3/27/14 4.3 Change of Basis

3/29/14 4.4 Linear Trans. between abstract vector spaces
4.2: 2(b,c), 3, 6, 7(a, b), 8a, 9a, 11, 12(a, b)
4.3: 3, 7, 9, 12, 18, 19, 20, 21

4/1/14 5.1 Determinants

4/3/14 5.2 Determinant Formulae
4.4: 2, 5, 7, 8, 11, 13,14
5.1: 1(a, b, c), 2, 3, 4, 7, 10, 11

4/8/14 SECOND EXAM SECOND EXAM
SECOND EXAM

4/10/14 6.1,6.2 Eigenstuff
5.2: 1a, 3, 4, 5(a,c,f), 7, 8, 10

4/15/14 6.2,6.3 Eigenstuff, Markov Processes

4/17/14 6.4 The spectral theorem
6.1: 1 (do as many as you can stand!),2,3,4,6,10,12,14
6.2: 1 (do as many as you can stand!), 3, 4, 6, 11. 16 (a-c)

4/22/14 PageRank, Principal components analysis

Date	Section(s)	Topics	HW due
1/9/14	1.1,1.2	Intro, Vectors in n-space
1/14/14	1.2,1.3	Geometry in n-space
1/16/14	1.4	Gaussian elimination	1.1: 6(a,c,g), 7, 8, 9, 21, 22, 23, 25, 29 1.2: 1(b,d,g), 2(b,d,g), 4, 9, 11, 13 (no geometric interpretation necessary), 16, 18
1/21/14	1.4	Gaussian Elimination
1/23/14	1.5	Theory of Linear Systems	1.3: 1(a,c,f), 3(a,d,e), 5, 8, 10, 12 1.4: 1, 3(a--f), 4(d,f), 10, 11, 12, 13
1/28/14	1.5	Theory of Linear Systems, Curve-fitting, Difference Equations
1/30/14	2.1,2.2	Matrix operations, Matrix-vector mult. as lin. trans.	1.5: 1, 2(a, b), 3(a, c), 4a, 6, 10, 12, 13, 14 1.6: 5, 7, 9, 11
2/4/14	2.2,2.3	Linear Transformations
2/6/14	2.4,2.5	Elementary matrices, Transposes	2.1: 1(a, c, f), 2, 5, 6, 7, 8, 12(a, b, d), 14 2.2: 5, 7, 8 2.3: 1(b, d, f), 2(a, c, d), 4, 8, 11, 13, 16
2/11/14	3.1,3.2	Subspaces
2/18/14	3.2	Four Fundamental Subspaces	2.4: 7, 12 2.5: 1(a,f,j), 4, 8, 9, 12, 15, 19(a,b), 22, 23 3.1: 1, 2(a,c,d), 6, 9(b,c), 10, 12, 13, 14
2/20/14	3.3	Linear Independence
2/25/14	FIRST EXAM	FIRST EXAM	FIRST EXAM
2/27/14	3.3,3.4	Bases	3.2: 1, 2(a,b), 10, 11 3.3 1, 2, 8, 10, 14, 15, 19, 21, 22
3/4/14	3.4	Bases for fundamental subspaces
3/6/14	3.6	Abstract vector spaces
3/18/14	3.6	Abstract inner product spaces	3.3: 5(a,b), 11 3.4: 3(a, b, d), 4, 8, 17, 20, 24 3.6: 1, 2(a, c, d), 3(a, c, f), 4, 6(a, b)
3/20/14	4.1	Least squares, Projections
3/25/14	4.2	Orthonormal bases, Gram-Schmidt	3.6: 9, 13, 14(b, c), 15(a, b) 4.1: 1(a, b), 3, 6, 7, 9, 11, 13, 15
3/27/14	4.3	Change of Basis
3/29/14	4.4	Linear Trans. between abstract vector spaces	4.2: 2(b,c), 3, 6, 7(a, b), 8a, 9a, 11, 12(a, b) 4.3: 3, 7, 9, 12, 18, 19, 20, 21
4/1/14	5.1	Determinants
4/3/14	5.2	Determinant Formulae	4.4: 2, 5, 7, 8, 11, 13,14 5.1: 1(a, b, c), 2, 3, 4, 7, 10, 11
4/8/14	SECOND EXAM	SECOND EXAM	SECOND EXAM
4/10/14	6.1,6.2	Eigenstuff	5.2: 1a, 3, 4, 5(a,c,f), 7, 8, 10
4/15/14	6.2,6.3	Eigenstuff, Markov Processes
4/17/14	6.4	The spectral theorem	6.1: 1 (do as many as you can stand!),2,3,4,6,10,12,14 6.2: 1 (do as many as you can stand!), 3, 4, 6, 11. 16 (a-c)
4/22/14		PageRank, Principal components analysis

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