Mathematics 22, Spring 2008
Mathematics 22, Spring 2008

Instructor:  Owen Dearricott
Office:  314 Kemeny Hall
Phone:  646-3507
Email:  owen.dearricott@dartmouth.edu

Course Specifics:
MWF 10 - 11:05,  Kemeny 120,  x-hour: Thursday 12 - 12:50
Office hours:  Tuesday 1 - 2pm and MW 11:05 - 12pm.

Text: 
David Lay, "Linear Algebra and its Applications, 3rd (updated) edition"

Assessment:
2 midterm exams:  20% times 2
Homework: 20%
Final exam: 40%

Exams:
Midterm I:  Monday, April 21, 6 - 8pm, Kemeny 008
Midterm II:  Wednesday, May 7, 6 - 8pm, Kemeny 008
Final:  Saturday, May 31, 8 - 11am, Kemeny 007.

Syllabus and Homework

Date
Topic
Section
Homework
Due
3/26
Systems of Linear Equations
1.1


3/28
Row Reduction and Echelon Forms
1.2
1.2 #1, 9, 12, 22 - 24  4/2 
3/31
Vector Equations; Ax = b
1.3, 1.4
1.3 #11, 12, 18, 21, 22, 24, 29, 32
1.4 #5, 7, 9 
4/2 
4/2
Ax=b, Solution Sets of Linear Systems
1.4, 1.5
1.4 #17, 18, 29, 30, 32
1.5 #25, 29 - 32 
4/9 

4/4
Linear Independence
1.7
1.7 #1, 5, 12, 22 - 25
 
4/9 
4/7
Linear Transformations
1.8
1.8 #2, 3, 8, 19, 25, 31, 33, 35  4/9 
4/9
The Matrix of a Linear Transformation
1.9
1.9 #2, 6, 15, 19, 25, 27, 35, 36  4/16 
4/11
Matrix Operations; Matrix Inverses
2.1, 2.2
2.1 #4, 10 12, 22, 23
2.2 #1, 5, 9 
4/16 
4/14
Matrix Inverses; Invertible Matrices
2.2, 2.3
2.2 #13, 21, 22, 32  4/16 
4/16
Determinants
3.1
3.1 #2, 10, 22, 23, 39, 40; 2.3 #6, 13, 24, 33  4/23 
4/18
Properties of Determinants
3.2
3.2 #9, 19, 23, 25, 28, 29, 40  4/23  
4/21
Cramer's rule, etc...
3.3
3.3 # 1, 3, 7, 11, 13, 19, 23   4/23 
4/23
Vector Spaces and Subspaces
4.1
4.1 #8, 11, 13, 20, 21, 30 - 32  4/30  
4/24
Null Spaces, Column Spaces and Linear Transformations
4.2
4.2 #3, 5, 10, 16, 18, 26, 28, 30  4/30  
4/25
Linearly Independent Sets; Bases
4.3
4.3 #4, 5, 9, 14, 20, 22, 24  4/30  
4/28
Coordinate Systems
4.4
4.4 #3, 7, 10, 15, 17, 23, 24, 28  4/30  
4/30
The Dimension of a Vector Space, Change of Basis
4.5, 4.7

4.5 #3, 8, 10, 13, 19, 21, 23 4.7 #2, 4, 7, 13 
5/7  
5/2
Rank
4.6
4.6 #2, 4, 8, 12, 15, 18, 27, 29  5/7  
5/5
Markov Chains
4.9
4.9 #3, 4, 8, 10, 14, 15, 18   5/7  
5/7
Eigenvectors and Eigenvalues
5.1
5.1 #6, 8, 10, 15, 19, 21, 25, 31  5/14  
5/9
The Characteristic Equation
5.2
5.2 #3, 6, 12, 13, 19, 24  5/14  
5/12
Diagonalisation
5.3
5.3 #6, 9, 11, 21, 23, 26  5/14  
5/14
Eigenvectors and Linear Transformations
5.4
5.4 #2, 3, 6, 9, 12, 17, 20, 23  5/21  
5/16
Inner Product, Length and Orthogonality
6.1
6.1 #6, 7, 11, 14, 16, 19, 24, 28  5/21 
5/19
Orthogonal Sets
6.2
6.2 #5, 10, 21, 11, 14, 16, 27, 29  5/21 
5/21
Orthogonal Projections
6.3
6.3 #1,6,9,12,14,17,24  5/28 
5/23
Gramm-Schmidt
6.4
6.4 #1, 5, 9, 12, 13, 17, 19  5/28 
5/28
Diagonalisation of Symmetric matrices
7.1
7.1 # 4, 5, 11, 12, 14, 20, 23, 25, 29, 30  5/28

Homework:
Assigned at each lecture but submitted weekly to an assigment box by Kemeny 105. Late homework is not accepted in absence of a valid documented reason (medical or family emergency). Collaboration on homework is permitted and seeking necessary assistance is encouraged, but all written assessment must be done privately and individually.

Honour Principle:
On exams assistance may be neither given or accepted. See the honour principle for homework above.

Disabilities:
Students with disabilities (physical, psychological or learning) needing accommodation should alert the instructor as soon as possible.

Last updated March, 2008