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