SYLLABUS

MATH 250

Spring 2009

Introduction to Linear Algebra

Professor Stephen Miller
Section 2

TuF 9:50-11:10
Room 212 Murray Hall
 Section 4

TuF 11:30-12:50
Room 025B GSE



 Date

 Lecture
Sections Covered

 Date
 Lecture
Sections Covered
1/20
 1  1.1, 1.2, Matrices and Vectors 
3/10
 15  4.2, Basis and Dimension                                           
1/23
 2  1.3, Systems of Linear Equations
3/13
 16  4.3, Column Space and Null Space of a Matrix
1/27 3  1.4, Gaussian Elimination
3/24
 17  5.1, Eigenvalues and Eigenvectors                              
1/30
 4  1.6, Span of a Set of Vectors
3/27
 18  5.2, Characteristic Polynomials
2/3
 5  1.7, Linear Dependence/Independence 
3/31
 19  5.3, Diagonalization of Matrices                                 
2/6
 6  2.1, Matrix Multiplication
4/3
 20  5.5, Applications of Eigenvalues
2/10
 7  2.2,  Applications Thereof                   
4/7
 21  MIDTERM EXAM 2
2/13
 8  2.3, Invertibility and Elementary Matrices
4/10
 22  No class
2/17
 9  2.4, Inverse of a Matrix                       
4/14
 23  6.1, Geometry of Vectors
2/20
 10  2.6, LU Decomposition of a Matrix

4/17
 24  6.2, Orthogonal Vectors; Gram-Schmidt process
2/24
 11  MIDTERM EXAM 1
4/21
 25  6.3, Orthogonal Projection and Least-Squares Approximations 
2/27
 12  3.1, Determinants; Cofactor Expansions
4/24
 26  6.4, Orthogonal Matrices
3/3
 13  3.2, Properties of Determinants           
4/28
 27  6.5, Symmetric Matrices and Quadratic Forms    
3/6
 14  4.1, Subspaces
5/1
 28  Singular Value Decomposition and Applications to Search Engines 
and Computer Vision.

Text Book: Spence, Insel, & Friedberg: Elementary Linear Algebra: A Matrix Approach, 2nd edition, ISBN 978-0-13-187141-0, Prentice Hall

Grading Policy:  Two in class midterm exams (Tuesday February 24th and Tuesday April 7th) -- each 20%. 
                            Final exam (TBA) -- worth 40%.
                            Homework, and Class Participation -- worth 20%.

Links:

Main Course Page  (Includes Maple Labs, and links to old exams and practice questions)

Homework (TF means "True-False").  Only bold faced and/or underlined problem numbers are due -- the rest are suggestions.  The due date of first assignment is color-coded below, and the rest will be given in class.

Final According to the exam schedule, the final exams are scheduled as follows:
Section 2: Thursday May 7, 12-3 pm
Section 4: Wednesday May 13, 4-7 pm

 Section
  Homework Problems
1.1  1, 3, 5, 9, 17, 19, 23, 25, TF: 37-56, 71, 75, 79, 81, 82  (Not due because we don't have a grader yet)
1.2 1, 3, 9, 15, 17, 19, 29, 31, 35, 37, 39, TF: 45-63, 67, 68, 75, 76, 77, 78  (Not due because we don't have a grader yet)
1.3 1, 3, 7, 9, 11, 23, 25, 39, 41, 43, 45, 47, 49, 51, 53, 55, TF: 57-62, 63, 64-76, 81
1.4 1, 3, 5, 7, 11, 13, 17, 19, 23, 27, 35, 37, 43, TF: 53-72, 74, 75-78, 81-84, 87, 88, 89-91
1.6  1, 3, 17, 19, 21, 23, 25, 27, 29, 31, 33, 39, 43, TF: 45-64, 70, 72
1.7  1, 5, 13, 15, 23, 25, 29, 33, 39, 41, 51, 53, 57, TF: 63-82, 87, 89


2.1  5, 7, 9, 11, 13, 15, 17, 19, 22, 23, 25, 27, 29, 31, TF: 33-37, 38, 39-50                     (DUE 2/10)
2.3 1, 3, 9, 11, 13, 17, 19, 23, 25, 29, 31, TF: 33, 34, 35, 36-51, 52, 54, 59, 61, 67, 69, 71, 83          (DUE 2/17)
2.4  1, 3, 7, 9, 19, 27, 29, TF: 35-54, 64
2.5  1, 3, 9                                                 
2.6 1, 3, 5, 9, 11, 13, TF: 33, 34-41, 42, 43, 44, 45, 46                 (DUE 2/24)              


3.1 1, 3, 9, 11, 13, 14, 15, 21, 23, 27, 29, 31, 37, 43, TF: 45-63                (DUE 3/3)
3.2 5, 6, 7, 8, 11, 13, 17, 21, 27, 33, TF: 39, 40-58, 59, 63, 67, 69-75

   
4.1
 1, 3, 5, 9, 11, 13, 19, 21, 27, 29, 33, TF: 43-51, 53, 54, 57-62, 67, 69, 72, 73, 74, 78, 81, 83, 85, 89, 93       (DUE 3/10)
4.2
 1, 3, 5, 7, 17, 19, 21, 25, 27, TF: 33, 34-50, 53, 54, 59, 63, 65
4.3
 1, 3, 5, 7, 9, 11, 15, 17, 19, 25, 27, TF: 41, 42-56, 57, 59, 60, 63, 65, 69, 73, 74-78, 83     (DUE 3/24)


5.1
 1, 3, 7, 9, 13, 17, 23, TF: 41-46, 55-60, 63, 64, 66, 67, 68, 69, 72, 73, 74
5.2
 1, 5, 9, 11, 13, 15, 17, 19, 21, 41, TF: 53-72, 77, 79, 81, 85, 86      (DUE 3/31)
5.3
 1, 3, 5, 7, 11, 15, 17, 19, TF: 29-48, 49, 51, 55, 57, 61, 63, 65, 73, 77, 78, 81, 82, 83, 85
5.5
 3, 5, 7, 9, 13, 15                                                                                       (DUE 4/7)


6.1

3, 5, 7, 9, 11, 13, 15, 17, 25, 29, 33, 37, 43, 49, 51, 53, TF: 61-80, 95, 97, 98  (DUE 4/14)
6.2
1, 3, 7, 9, 13, 17, 21, 25, 29, 33, 37, TF: 41-52, 55
6.3
1, 5, 9, 11, 17, 19, 21, TF: 33-56, 59, 61, 67, 69, 71, 73, 75     (DUE 4/21)
6.4
1, 5, 17, 21, TF: 28-32 (DUE 4/28)
6.5
3, 7, 9, 11, TF: 17, 21, 22-29           
6.6 3, 5, 13, 15, 17, 19, TF: 21-40




miller@math.rutgers.edu