MTH 215, Spring 2007

Topics and Assignments

Week Topics Assignments

Jan 22 - 26

Systems of Linear Equations: 1.1
Row Reduction and Echelon Forms: 1.2
Vector Equations: 1.3

1.1: # 1, 3, 5, 9, 11, 15, 17, 19, 25, 31
1.2: # 1, 3, 7, 11, 15, 17, 31

Jan 29 - Feb 2

Vector Equations: 1.3
The Matrix Equation Ax=b: 1.4
Solution Sets of Linear Systems: 1.5

1.3: # 3, 5, 7, 9, 11, 17, 19, 25
1.4: # 3, 5, 9, 13, 15, 17, 21, 25
1.5: # 3, 5, 9, 11, 13, 17, 19, 21, 33

Feb 5 - 9

Linear Independence: 1.7
Linear Transformations: 1.8
The Matrix of a Linear Transformation: 1.9

1.7: # 3, 5, 7, 9, 13, 15, 19, 27, 33
1.8: # 1, 3, 7, 9, 11, 13, 17, 19, 31
1.9: # 1, 3, 5, 7, 9, 13, 15, 17, 19, 21

Feb 12 - 16

Matrix Operations: 2.1
Inverse of a Matrix: 2.2
Characterization of Invertible Matrices: 2.3

2.1: # 1, 3, 5, 7, 9, 17, 25, 27
2.2: # 1, 3, 5, 7, 15, 29, 31, 33
2.3: # 1, 3, 7, 9, 11, 13, 27, 33, 35

Feb 19 - 23

Introduction to Determinants: 3.1
Properties of Determinants: 3.2
Exam I

3.1: # 1, 3, 5, 9, 11, 13, 15, 23, 25, 39
3.2: # 3, 5, 9, 11, 13, 15, 17, 19, 23 , 25, 31
February 23rd.

Feb 26 - March 2

Vector Spaces and Subspaces: 4.1
Null Spaces, Column Spaces and Linear Transformations: 4.2

4.1: # 1, 3, 7, 9, 13, 17, 21, 33
4.2: # 1, 3, 5, 7, 11, 17, 19, 23, 33

March 5 - 9

Linearly Independent Sets; Bases: 4.3

4.3: # 1, 3, 5, 9, 11, 15, 19, 21, 31

March 12 - 16

Dimension of a Vector Space: 4.5
Rank: 4.6

4.5: # 1, 3, 5, 7, 11, 13, 17, 21, 25
4.6: # 1, 3, 5, 7, 11, 25, 27

March 26 -30

Eigenvectors and Eigenvalues: 5.1
The Characteristic Equation: 5.2

TAKE HOME QUIZ
DUE APRIL 2 BY 10 am in my office Tyler 217
5.1: # 1, 3, 5, 7, 9, 13, 17, 19, 25, 31
5.2: # 1, 3, 9, 13, 15, 17, 19, 27

April 2 - 6

Diagonalization: 5.3
Exam II

5.3: # 1, 3, 5,, 7, 11, 15, 19, 21, 23, 29
April 12th.

April 9 - 13

Inner Product, Length and Orthogonality: 6.1
Orthogonal Sets: 6.2
Orthogonal Projections: 6.3

PROJECT Due April 26
6.1: # 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 29
6.2: # 1, 3, 5, 7, 11, 13, 17, 21, 27

April 16 - 20

Orthogonal Projections: 6.3
Least-Squares Problems: 6.5

6.3: # 1, 3, 5, 7, 11, 13, 15, 17, 19
6.5: # 1, 3, 5, 7, 11, 13, 15, 25

April 23 - 27

Diagonalization of Symmetric Matrices: 7.1
Quadratic Forms: 7.2

7.1: # 1, 3, 5, 9, 11, 17, 19, 23, 27
7.2: # 1, 3, 5, 9, 11, 13, 27

Tuesday May 8th.
Final!!

8:00-11:00 AM.

Week	Topics	Assignments
Jan 22 - 26	Systems of Linear Equations: 1.1 Row Reduction and Echelon Forms: 1.2 Vector Equations: 1.3	1.1: # 1, 3, 5, 9, 11, 15, 17, 19, 25, 31 1.2: # 1, 3, 7, 11, 15, 17, 31
Jan 29 - Feb 2	Vector Equations: 1.3 The Matrix Equation Ax=b: 1.4 Solution Sets of Linear Systems: 1.5	1.3: # 3, 5, 7, 9, 11, 17, 19, 25 1.4: # 3, 5, 9, 13, 15, 17, 21, 25 1.5: # 3, 5, 9, 11, 13, 17, 19, 21, 33
Feb 5 - 9	Linear Independence: 1.7 Linear Transformations: 1.8 The Matrix of a Linear Transformation: 1.9	1.7: # 3, 5, 7, 9, 13, 15, 19, 27, 33 1.8: # 1, 3, 7, 9, 11, 13, 17, 19, 31 1.9: # 1, 3, 5, 7, 9, 13, 15, 17, 19, 21
Feb 12 - 16	Matrix Operations: 2.1 Inverse of a Matrix: 2.2 Characterization of Invertible Matrices: 2.3	2.1: # 1, 3, 5, 7, 9, 17, 25, 27 2.2: # 1, 3, 5, 7, 15, 29, 31, 33 2.3: # 1, 3, 7, 9, 11, 13, 27, 33, 35
Feb 19 - 23	Introduction to Determinants: 3.1 Properties of Determinants: 3.2 Exam I	3.1: # 1, 3, 5, 9, 11, 13, 15, 23, 25, 39 3.2: # 3, 5, 9, 11, 13, 15, 17, 19, 23 , 25, 31 February 23rd.
Feb 26 - March 2	Vector Spaces and Subspaces: 4.1 Null Spaces, Column Spaces and Linear Transformations: 4.2	4.1: # 1, 3, 7, 9, 13, 17, 21, 33 4.2: # 1, 3, 5, 7, 11, 17, 19, 23, 33
March 5 - 9	Linearly Independent Sets; Bases: 4.3	4.3: # 1, 3, 5, 9, 11, 15, 19, 21, 31
March 12 - 16	Dimension of a Vector Space: 4.5 Rank: 4.6	4.5: # 1, 3, 5, 7, 11, 13, 17, 21, 25 4.6: # 1, 3, 5, 7, 11, 25, 27
March 26 -30	Eigenvectors and Eigenvalues: 5.1 The Characteristic Equation: 5.2	TAKE HOME QUIZ DUE APRIL 2 BY 10 am in my office Tyler 217 5.1: # 1, 3, 5, 7, 9, 13, 17, 19, 25, 31 5.2: # 1, 3, 9, 13, 15, 17, 19, 27
April 2 - 6	Diagonalization: 5.3 Exam II	5.3: # 1, 3, 5,, 7, 11, 15, 19, 21, 23, 29 April 12th.
April 9 - 13	Inner Product, Length and Orthogonality: 6.1 Orthogonal Sets: 6.2 Orthogonal Projections: 6.3	PROJECT Due April 26 6.1: # 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 29 6.2: # 1, 3, 5, 7, 11, 13, 17, 21, 27
April 16 - 20	Orthogonal Projections: 6.3 Least-Squares Problems: 6.5	6.3: # 1, 3, 5, 7, 11, 13, 15, 17, 19 6.5: # 1, 3, 5, 7, 11, 13, 15, 25
April 23 - 27	Diagonalization of Symmetric Matrices: 7.1 Quadratic Forms: 7.2	7.1: # 1, 3, 5, 9, 11, 17, 19, 23, 27 7.2: # 1, 3, 5, 9, 11, 13, 27
Tuesday May 8th.	Final!!	8:00-11:00 AM.