Office: 342, Hill Center.
Office Phone: 732-445-2656
e m a i l:
Meeting: TuF 9:50-11:10 am. MU 212.
Office hours: Tu 11:10-12pm and Tu 2:00-3:10pm. In my office.
Final Exam: Thursday, May 4, 2006 12-3 PM Murray Hall 212
Text: Elementary Linear Algebra: A Matrix Approach. Spence, Insel, & Friedberg, Prentice-Hall. (ISBN # 0-13-716722-9)
General Web page:
Text Webpage: http://cwx.prenhall.com/bookbind/pubbooks/spence/
Course Catalogue Description.
01:640:250. INTRODUCTORY LINEAR ALGEBRA (3) Prerequisite: CALC2. Systems of linear
equations, Gaussian elimination, matrices and determinants, vectors in two- and
three-dimensional Euclidean space, vector spaces, introduction to eigenvalues and eigenvectors.
Possible additional topics: systems of linear inequalities and systems of differential equations.
Exams: There will be two mid-term exams and a cumulative final. The final will count 200 points. Each midterm will count 100. They will be closed book exams and student-prepared formula sheets will not be permitted.
Quizzes and Homework: Homework problems are assigned for each section. Students are expected to work on the problems for a particular lecture prior to the class devoted to that material. Homework will not be collected. However, each week there will be a short 10 minute quiz consisting of one or two problems similar to the homework problems. The quizzes will count 100 points toward the term grade.
Make-up exams/quizzes policy: There will be no make-up quizzes or exams, except in case of documented emergency.
In summary, here are the components of the term grade with their maximum possible points:
| Component | Points |
| Hour Exams | 200 |
| Final | 200 |
| Quizzes | 100 |
| Total | 500 |
DATE Lecture Section Topics 1/17 1 1.1,1.2 Matrices and Vectors 1/20 2 1.3 Systems of Linear Equations 1/24 3 1.4 Gaussian Elimination 1/27 4 1.6 Span of a Set of Vectors 1/31 5 1.7 Linear Dependence and Linear Independence 2/03 6 1.7,2.1 Homogeneous Systems, Matrix Multiplication 2/07 7 2.1 Matrix Algebra 2/10 8 2.3 Invertibility and Elementary Matrices 2/14 9 2.4 Inverse of a Matrix 2/17 10 2.5 LU Decomposition of a Matrix 2/21 11 Midterm Exam #1 2/24 12 3.1 Determinants; Cofactor Expansions 2/28 13 3.2 Properties of Determinants 3/03 14 4.1 Subspaces 3/07 15 4.2 Basis and Dimension 3/10 16 4.3 Column Space and Null Space of a Matrix 3/21 17 5.1 Eigenvalues and Eigenvectors 3/24 18 5.2 Characteristic Polynomial 3/28 19 5.3 Diagonalization of a Matrix 3/31 20 5.3 Examples of Diagonalization 4/04 21 Midterm Exam #2 4/07 22 6.1 Geometry of Vectors; Projection onto a Line 4/11 23 6.2 Orthogonal Sets of Vectors; Gram-Schmidt Process 4/14 24 6.2 Orthogonal Projection; Othogonal Complements 4/18 25 6.3 Least Squares; Normal Equations 4/21 26 6.4, 6.5 Orthogonal Matrices; Diagonalization of Symmetric Matrices 4/25 27 6.5 Spectral Decomposition for Symmetric Matrices Diagonalization of Quadratic Forms 4/28 28 Catch up and review Final Exam (Class-hour exam schedule)
Here is a list of suggested homework problems from the text. The final exam will assume familiarity with the material covered by these problems. The exercises are listed by section; see the syllabus to determine which sections go with which lecture.
Section Suggested Homework Problems 1.1 1,3,5,7,9,35,39,45,46 1.2 1, 3, 11, 13, 15, 17, 21, 22, 23, 25, 29, 31, 33, 35, 36, 37, 39, 40, 41, 42 1.3 1, 3, 5, 7, 9, 11, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 45 1.4 1, 3, 5, 7, 9, 13, 15, 19, 21, 25, 27, 29, 31, 35, 44-46, 51-62 1.6 1, 3, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 31, 35, 42, 45 1.7 1, 3, 5, 7, 9, 11, 13, 17, 21, 23, 25, 27, 29, 33, 39, 40, 41 2.1 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 22, 23, 24, 25, 27, 29, 31 2.3 1, 3, 5, 7, 11, 13, 15, 21, 29, 31, 33, 41 2.4 1, 3, 5, 7, 11, 15, 17, 19, 25, 27, 30 2.5 3, 5, 7, 9, 10, 11, 12, 13, 14, 15, 19 3.1 1, 3, 5, 7, 9, 11, 14, 15, 17, 19, 21, 25, 31, 33, 37, 39, 41, 43 3.2 1, 3, 5, 7, 11, 15, 21, 25, 39-45 4.1 1, 3, 5, 9, 11, 13, 15, 19, 21, 23, 25, 27, 29, 31, 33, 36, 37, 38, 42 4.2 1,3,4,5,7,9,11,13,15,27,29 4.3 1, 3, 5, 7, 9, 11, 13, 15, 37-42, 47 5.1 3, 7, 13, 17, 21, 39, 42, 43, 44, 45, 48 5.2 1, 3, 5, 9, 13, 15, 17, 21, 23, 25, 27, 41, 45, 47, 51, 52 5.3 1, 3, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 33, 35, 37, 39, 45, 51, 52, 53 5.5 3, 5, 7, 9, 13, 15, 21, 23 6.1 1, 3, 5, 7, 9, 11, 13, 17, 21, 23, 25, 30-35, 49, 52 6.2 1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 27 6.3 1, 3, 5, 7, 9, 13, 15, 17, 21, 26-35, 42 6.4 3,5,7,9,11,22 6.5 1, 3, 5, 13, 17, 19