Math 22 Fall 2003

Instructor:  Martin Arkowitz
Phone:  646-2419
Email:  martin.arkowitz@dartmouth.edu

Course Specifics:
MWF 10 - 11:05,  Bradley 105.  x-hour: Thursday 12 - 12:50
Office hours:  Tuesday 12:30 - 2pm and Thursday 12:30 - 2pm and by appointment.

Text:
David Lay, "Linear Algebra and its Applications"
This book is available at Wheelock Books.
Be sure to get the third edition.

Midterm Exams (2):  100 points each
Homework: 50 points
Final exam: 150 points

Exam Schedules:
The two midterm exams have been scheduled as follows:
Wednesday, October 22, 6 - 8pm
Wednesday, November 19, 6 - 8pm
The final exam has been scheduled for December 9 at 8am.

Homework:
Homework is assigned after each class period but is to be handed in weekly. The due dates are given in the table below. Late homework will not be accepted without a compelling reason (such as medical problem or family emergency). You can work together on homework and seek help (for example, during office hours), but you are to write up the assignments on your own.

Honor Principle:
The honor principle is in effect in this course. On all exams do your own work and neither give nor accept assistance. The honor principle for homework is stated above.

Disabilities:
Students with disabilities, including physical, psychological or learning disabilities, who may need special consideration, should speak to the instructor as soon as possible.

Syllabus and Homework (check this frequently since it may be changed often)

 Date Topics Covered Sections Homework Problems Assigned Due Dates 9/24 Systems of Linear Equations 1.1 9/26 Row Reduction and Echelon Forms 1.2 1.2 #1, 9, 12, 22 - 24 9/29 Vector Equations; Ax = b 1.3, 1.4 1.3 #11, 12, 18, 21, 22, 24, 29, 32 1.4 #5, 7, 9 10/1 Ax=b, Solution Sets of Linear Systems 1.4, 1.5 1.4 #17, 18, 29, 30, 32 1.5 #25, 29 - 32 10/3 10/3 Linear Independence 1.7 1.7 #1, 5, 12, 22 - 25 10/6 Linear Transformations 1.8 1.8 #2, 3, 8, 19, 25, 31, 33, 35 10/8 The Matrix of a Linear Transformation 1.9 1.9 #2, 6, 15, 19, 25, 27, 35, 36 10/13 10/9 Matrix Operations; Matrix Inverses 2.1, 2.2 2.1 #4, 10 12, 22, 23; 2.2 #1, 5, 9 10/13 Matrix Inverses; Invertible Matrices 2.2, 2.3 2.2 #13, 21, 22, 32; 2.3 #6, 13, 24, 33 10/15 Determinants 3.1 3.1 #2, 10, 22, 23, 39, 40 10/17 10/17 Properties of Determinants 3.2 3.2 #9, 19, 23, 25, 28, 29, 40 10/20 Vector Spaces and Subspaces 4.1 4.1 #8, 11, 13, 20, 21, 30 - 32 10/22 Null Spaces, Column Spaces and Linear Transformations 4.2 4.2 #3, 5, 10, 16, 18, 26, 28, 30 10/24 10/24 Linearly Independent Sets; Bases 4.3 4.3 #4, 5, 9, 14, 20, 22, 24 10/27 Coordinate Systems 4.4 4.4 #3, 7, 10, 15, 17, 23, 24, 28 10/29 Coordinate Systems; The Dimension of a Vector Space 4.4, 4.5 10/31 10/31 The Dimension of a Vector Space 4.5 4.5 #3, 8, 10, 13, 19, 21, 23 11/3 Rank 4.6 4.6 #2, 4, 8, 12, 15, 18, 27, 29 11/5 Eigenvectors and Eigenvalues (skip Eigenvectors and Difference Equations) 5.1 5.1 #6, 8, 10, 15, 19, 21, 25, 31 11/7 11/7 The Characteristic Equation (skip Application to Dynamical Systems) 5.2 5.2 #3, 6, 12, 13, 19, 24 11/10 Diagonalization 5.3 5.3 #6, 9, 11, 21, 23, 26 11/12 Eigenvectors and Linear Transformations 5.4 11/14 11/14 Eigenvectors and Linear Transformations; Inner Product, Length and Orthogonality 5.4, 6.1 5.4 #2, 3, 6, 9, 12, 17, 20, 23 11/17 Inner Product, Length and Orthogonality 6.1 6.1 #6, 7, 11, 14, 16, 19, 24, 28 11/19 Orthogonal Sets 6.2 6.2 #5, 10, 21 11/21 11/21 Orthogonal Sets; Orthogonal Projections 6.2, 6.3 6.2 #11, 14, 16, 27, 29 11/24 Orthogonal Projections 6.3 6.3 #1, 6, 9, 12, 14, 17, 24 12/1 12/1 Applications to Markov Chains 4.9 12/3 Applications to Markov Chains 4.9 4.9 #3, 4, 8, 10, 14, 15, 18 Not to be handed in

Final Exam: Tuesday, December 9, 8 - 11 am, 105 Bradley.

Last updated November 29, 2003